Practical Business Math Procedures Jeffrey Slater 13e - Test Bank Instant Download - Complete Test Bank With Answers Sample Questions Are Posted Below Practical Business Math Procedures, 13e (Slater) Chapter 5 Solving for the Unknown: A How-to Approach for Solving Equations 1) An equation represents a math expression of equality. …
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Practical Business Math Procedures Jeffrey Slater 13e – Test Bank
Instant Download – Complete Test Bank With Answers
Sample Questions Are Posted Below
Practical Business Math Procedures, 13e (Slater)
Chapter 5 Solving for the Unknown: A How-to Approach for Solving Equations
1) An equation represents a math expression of equality.
Answer: TRUE
Explanation: An equation is a math expression of equality.
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
2) 4 + 3 = 9 is an equation of equality.
Answer: FALSE
Explanation: 4 + 3 equals 7; 7 is not equal to 9.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
3) Variables can only be numbers.
Answer: FALSE
Explanation: variables sometimes represent numbers.
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
4) If there is no number in front of a letter, it is really the number 1.
Answer: TRUE
Explanation: Writing x is the same as writing 1x
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
5) AB or A(B) means A divided by B.
Answer: FALSE
Explanation: AB means A times B
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
6) C/D means C divided by D.
Answer: TRUE
Explanation: C/D means division.
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
7) 4C stands for twice Cathy’s age.
Answer: FALSE
Explanation: It would mean 4 times her age.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
8) B − 6 represents Bob’s age six years ago.
Answer: TRUE
Explanation: Current age minus 6 would mean the age six years ago.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
9) Whatever you do to one side of an equation, you must do to the other.
Answer: TRUE
Explanation: Equations must stay balanced on both sides of the equal sign.
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
10) A formula is not an equation.
Answer: FALSE
Explanation: A formula contains an equal sign.
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
11) Variables and constants are terms of mathematical expressions.
Answer: TRUE
Explanation: Variables and constants are used together to form terms.
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
12) B + 8 = 9; B = 17.
Answer: FALSE
Explanation: Subtract 8 from both sides; B = 1.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
13) B – 11 = 40; B = 29.
Answer: FALSE
Explanation: B = 51.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
14) When an equation uses addition, the variable can be solved by the opposite process: subtraction.
Answer: TRUE
Explanation: The opposite of addition is subtraction.
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
15) B/30 = 9; B = 270.
Answer: TRUE
Explanation: B = 30 (9) = 270.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
16) B/5 + 3 = 15; B = 16.
Answer: FALSE
Explanation: Subtract 3 from both sides, and then multiply both sides by 5. B = 60.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
17) 20(C – 9) means the 20 is multiplied only times the C to clear the parentheses.
Answer: FALSE
Explanation: 20 (C – 9) = 20C – 180.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
18) 2(V – 8) = 90; V = 53.
Answer: TRUE
Explanation: 2 (V – 8) = 90; 2V – 16 = 90; 2V = 106; V = 53.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
19) 6H + 2H – 20 = 44; H = 8.
Answer: TRUE
Explanation: Add like terms to both sides to get 8H = 64, and then divide both sides by 8.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
20) In word problems, the word “of” indicates an equal sign.
Answer: FALSE
Explanation: The word “of” means multiply.
Difficulty: 1 Easy
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (1) List the steps for solving word problems.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
21) More than one unknown in a word problem can be represented in terms of the same variable assigned to the first unknown.
Answer: TRUE
Explanation: Unknowns can be represented in terms of the same variable.
Difficulty: 1 Easy
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (1) List the steps for solving word problems.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
22) There is only one set way to solve all word problems.
Answer: FALSE
Explanation: There are many ways to solve word problems.
Difficulty: 2 Medium
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (1) List the steps for solving word problems.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
23) If there are two unknowns, the variable is always assigned to the larger value.
Answer: FALSE
Explanation: The variable can be assigned to the larger or smaller value.
Difficulty: 2 Medium
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (1) List the steps for solving word problems.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
24) 1/4B − 10 = 7; B = 67.
Answer: FALSE
Explanation: Add 10 to both sides and multiply both sides by 4 the answer would be 68.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
25) 5(Z + 60) = 900; Z = 120.
Answer: TRUE
Explanation: Divide both sides by 5 and subtract 300 from both sides.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
26) A letter or a symbol that represents one or more numbers is a:
Answer: A
Explanation: Review notes and terminology for this chapter.
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
27) An equation is:
Answer: D
Explanation: Review notes and terminology for this chapter.
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
28) A times C is represented by:
Answer: C
Explanation: Review notes and terminology for this chapter.
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
29) Jerry’s age 3 years ago can be expressed as:
Answer: A
Explanation: 3 years ago implies subtraction.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
30) +31 – (-16) equals:
Answer: B
Explanation: 31 + 16 = 47.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
31) C + 100 = 55; C equals:
Answer: D
Explanation: C = 55 – 100 = -45
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
32) Q + 92 = 128; Q equals:
Answer: B
Explanation: Q = 128 – 92 = 36
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
33) 8G = 96; G equals:
Answer: A
Explanation: G = 96 / 8 = 12
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
34) B/8 = 90; B equals:
Answer: E
Explanation: B = 90 (8) = 720
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
35) N/8 + 6 = 58; N equals:
Answer: B
Explanation: N/8 = 52; N = 8 (52) = 416
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
36) 2,000(A – 5) = 110,000; A equals:
Answer: B
Explanation: 2,000A – 10,000 = 110,000; 2,000A = 120,000; A = 120,000/2,000 = 60.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
37) What number decreased by 630 equals 1,510?
Answer: B
Explanation: X − 630 = 1,510; X = 1,510 + 630; X = 2,140.
Difficulty: 3 Hard
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
38) What number increased by 3,080 equals 5,082?
Answer: D
Explanation: Y + 3,080 = 5,082; Y = 5,082 − 3,080 = 2,002.
Difficulty: 3 Hard
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
39) One-ninth of all sales at a local Subway are for cash. If cash sales for the week were $690, what were Subway’s total sales?
Answer: C
Explanation: 1/9 S = 690; S = 690 (9) = 6,210.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
40) One-eleventh of all sales at Joe’s Diner are for cash. If cash sales for the week were $380, what were Joe’s total sales?
Answer: B
Explanation: 1/11 S = 380; S = 380 (11) = 4,180.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
41) Jane sells 8 times as many Volvos as Melissa. If the difference in their sales is 35, how many cars did Jane sell?
Answer: D
Explanation: 8V − V = 35; 7V = 35; V = 5; 8(5) = 40.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
42) Lane is 10 times Mel’s age. If the difference in their age is 27, how old is Mel?
Answer: A
Explanation: 10A − A = 27; 9A = 27; A = 3.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
43) Rick and Ranger sell Toyotas for Tom’s Auto. Over the past year they sold 360 cars. Assuming Rick sells 5 times as many as Ranger, how many Toyotas did Ranger sell?
Answer: D
Explanation: 5C + C = 360; 6C = 360; C = 60.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
44) Mike and Bill sell cars for Jangle’s Auto. Over the past year they sold 640 cars. Assuming Mike sells 3 times as many as Bill, how many cars did Mike sell?
Answer: A
Explanation: 3C + C = 640; 4C = 640; C =160; 3C = 480.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
45) Staples has a discount on flash drives and boxes of computer paper. It offers flash drives for $6 each and boxes of computer paper for $40 each box. If total sales on these discount items is $4200 for the week, and customers bought 5 times as many flash drives as boxes of computer paper, how many boxes of computer paper were sold?
Answer: C
Explanation: 6 (5C) + 40 C = 4,200; 30C + 40C = 4,200; 70C = 4,200; C = 60.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Analyze
Type: Static
Accessibility: Keyboard Navigation
46) A local Walmart sells sweatpants ($7) and jackets ($14). If total sales were $6,160 and customers bought 8 times as many sweatpants as jackets, what would be the number of jackets sold?
Answer: C
Explanation: 7 (8J) + 14 J = 6,160; 56J + 14J = 6,160; 70J = 6,160; J = 88.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Analyze
Type: Static
Accessibility: Keyboard Navigation
47) At Shaw’s Market, apples cost $10 per case and bananas cost $6 per case. If an order comes in for a total of 300 cases for $2,000, what was the specific number of cases of apples? (Hint: Let A = cases of apples.)
Answer: C
Explanation: 10 A + 6 (300 − A) = 2,000; 10A + 1,800 − 6A = 2,000; 4A + 1,800 = 2,000; 4A = 200; A = 50.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Analyze
Type: Static
Accessibility: Keyboard Navigation
48) Coffee costs $12 per case, and tea costs $8 per case. If an order comes in for a total of 250 cases for $2,400, what was the specific number of cases of tea? (Hint: Let C = cases of coffee.)
Answer: A
Explanation: 12 C + 8 (250 − C) = 2,400; 12C + 2,000 − 8C = 2,400; 4C = 400; C = 100; 250 − 100 = 150.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Analyze
Type: Static
Accessibility: Keyboard Navigation
49) Dolls cost $140 per carton, and trucks cost $430 per carton. If an order comes in for a total of 100 cartons for $28,500, what was the number of cartons of dolls? (Hint: Let T = cartons of dolls.)
Answer: C
Explanation: 140 T + 430 (100 − T) = 28,500; 140 T + 43,000 − 430T = 28,500; −290T = −14,500; T = 50.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Analyze
Type: Static
Accessibility: Keyboard Navigation
50) Belts cost $160 per carton, and shoes cost $465 per carton. If an order comes in for a total of 88 cartons for $19,265, what is the number of cartons of belts? (Hint: Let S = cartons of belts)
Answer: D
Explanation: 160 S + 465 (88 − S) = 19,265; 160S + 40,920 − 465S = 19,265; −305S = −21,655; S = 71.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Analyze
Type: Static
Accessibility: Keyboard Navigation
51) Marvin Co. sells pens ($6) and flashlights ($10). If total sales were $624 and customers bought 7 times as many pens as flashlights, what would be the number of pens sold?
Answer: C
Explanation: 6 (7F) + 10F = 624; 42F + 10F = 624; 52F = 624; F = 12; 7F = 84.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Analyze
Type: Static
Accessibility: Keyboard Navigation
52) Jill Co. sells thermometers ($2) and hot water bottles ($6). If total sales were $312 and customers bought 10 times as many thermometers as hot water bottles, what would be the number of hot water bottles sold?
Answer: C
Explanation: 2 (10 B) + 6B = 312; 26B = 312; B = 12.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Analyze
Type: Static
Accessibility: Keyboard Navigation
53) In Ryan Corporation, the first shift produced 5 1/2 times as many light bulbs as the second shift. If the total light bulbs produced were 16,250, how many light bulbs were produced on shift 1?
Answer: D
Explanation: 5.5 X + X = 16,250; 6.5 X = 16,250; X = 2,500; 5.5X = 13,750.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
54) In Johnson Corporation, the first shift produced 8 1/2 times as many light bulbs as the second shift. If the total light bulbs produced were 24,700, how many light bulbs were produced on shift 2?
Answer: A
Explanation: 8.5X + X = 24,700; 9.5X = 24,700; X = 2,600.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
55) Joe Berry and Jane Rose received a total of $180,000 from a deceased relative’s estate. They decided to put away $80,000 in a trust for their child and divide the remainder into 3/4 for Jane and 1/4 for Joe. How much will Jane receive?
Answer: B
Explanation: 3/4 (180,000 − 80,000) = 75,000.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
56) Al Resse and Marci Rey received a total of $210,000 from a deceased relative’s estate. They decided to put away $50,000 in a trust for their child and divide the remainder into 1/4 for Marci and for 3/4 Al. How much will Al receive?
Answer: B
Explanation: 3/4 (210,000 − 50,000) = 120,000.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
57) 7G = 112; G equals:
Answer: D
Explanation: G = 112/7 = 16.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
58) P + 77 = 101; P equals:
Answer: D
Explanation: P = 101 − 77 = 24
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
59) Scholastic Books sells 4 times as many textbooks as Keller Publishing; together they sold 7,775 textbooks. How many did Scholastic sell?
Answer: C
Explanation: 4X + X = 7,775; 5X = 7,775; X = 1,555; 4X = 6,220.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
60) Solve the following:
1,000 (X − 2) = 75,000
Answer: B
Explanation: 1000x − 2000 = 75,000; 1000x = 77,000; x = 77.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
61) Kohl’s sells casual shirts for $9 and polo shirts for $18.00. Total sales were $1,080, and customers bought 4 times as many casual shirts as polo shirts. How many casual shirts did Kohl’s sell?
Answer: A
Explanation: 9 (4P) + 18P = 1,080; 36P + 18P = 1,080; 54P = 1,080; P =20; 4P = 80.
Difficulty: 3 Hard
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Analyze
Type: Static
Accessibility: Keyboard Navigation
Match the term with its definition.
62) Formula
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
63) Blueprints
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
64) Unknowns
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
65) G
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
66) 2
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
67) Equation
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
68) Constant
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
69) Variables
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
70) Parenthesis
Difficulty: 1 Easy
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (1) Explain the basic procedures used to solve equations for the unknown.
Bloom’s: Remember
Type: Static
Accessibility: Keyboard Navigation
Answers: 62) B 63) I 64) F 65) H 66) G 67) A 68) D 69) E 70) C
71) Solve for the unknown, showing all work. (If necessary, round to the nearest hundredth.)
A + 80 = 165
Answer: 85
Subtract 80 from both sides.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
72) Solve for the unknown, showing all work. (If necessary, round to the nearest hundredth.)
1,105 = B + 82
Answer: 1,023
Subtract 82 from both sides.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
73) Solve for the unknown, showing all work. (If necessary, round to the nearest hundredth.)
= 20
Answer: Q = 800
Multiply both sides by 40.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
74) Solve for the unknown, showing all work. (If necessary, round to the nearest hundredth.)
6B – 80 = 160
Answer: B = 40
Add 80 to both sides and divide by 6.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
75) Solve for the unknown, showing all work. (If necessary, round to the nearest hundredth.)
7 (A – 4) = 21
Answer: A = 7
Multiply everything in the parentheses by 7, add 28 to both sides, and then divide by 7.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
76) Solve for the unknown, showing all work. (If necessary, round to the nearest hundredth.)
8A – 40 = 4A + 60
Answer: A = 25
Subtract 4A from both sides and add 40 to both sides to get 4A = 100; then divide both sides by 4.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
77) Over the past month, 900 trucks were sold. Abe sold 4 times as many as Joe. How many did each sell?
Answer: A. 720
| Abe
Joe |
4T
T |
4T +T
900 |
4T + T = 900
5T = 900
T = 180
4T = 4(180) = 720
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
78) A furniture company produced 5 times as many beds on shift 2 as it did on shift 1. If a total of 240 beds were produced, how many were produced on each shift?
Answer: A. 40
| Shift 1 number
Shift 2 number |
B
5B |
B + 5B
240 |
B + 5B = 240
6B = 240
B = 40
5B = 5(40) = 200
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
79) of all sales were for cash. If cash sales were $59,000, what were the total sales?
Answer: $531,000
| Cash sales
Total sales |
1/9 S
S |
$59,000 |
1/9 S = 59,000
S = $531,000
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
80) One day Marika Company produced 6 times as many wood stoves as Barry Company. If the difference in their production is 15, how many stoves did Barry produce that day?
Answer: 3
| Marika stoves
Barry stoves |
6S
S |
6S – S
15 |
6S – S = 15
5S = 15
S = 3
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
81) Runyon Company sells T-shirts ($5) and shorts ($6). If total sales were $1,040 and people bought 4 times as many T-shirts as shorts, what would be the number of T-shirts and shorts sold?
Answer: A. 160
| T-shirts
Shorts |
4S
S |
$5
$6 |
20S
6S $1040 |
20S + 6S = 1040
26S = 1040
S = 40
4S = 4(40) = 160
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Analyze
Type: Static
Accessibility: Keyboard Navigation
82) Erasers cost $6 per carton, and pencils cost $7 per carton. If an order comes in for a total of 16 cartons for $100, what was the number of cartons of each bought? Hint: Let erasers = (16 – p)
Answer: A. 4
| Erasers
Pencils |
16 – P
P |
$6
$7 |
6 (16 – P)
7 P 100 |
6 (16 – P) + 7P = 100
96 – 6P + 7P = 100
96 + P = 100
P = 4
16 – P = 16 – 4 = 12
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Analyze
Type: Static
Accessibility: Keyboard Navigation
83) American Airlines reduced its round trip fare from Boston to New York by $45. The sale price was $139. What was the original price?
Answer: $184
Use the blueprint aid:
| Original
Price |
P | P – 45 = Sales Price |
P – 45 = 139. Add 45 to both sides. P = 184
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
84) Ryan Small budgets 1/8 of his weekly salary for food. Ryan’s food bill is $80. What is his weekly salary?
Answer: $640
Use the blueprint aid:
| Weekly Salary | S | Food = $80 |
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
85) If Sears Auto Center sells six times as many batteries as Firestone and their difference in sales is 250,000 batteries, how many batteries did each sell?
Answer: Sears: 300,000; Firestone: 50,000
Use the blueprint aid:
| Sears Batteries
Firestone Batteries |
6B
B |
Total = 250,000 |
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
86) Jim Murray and Al Sming sold a total of 600 camcorders. Jim sold 5 times as many camcorders as Al. How many did each sell?
Answer: # Jim sells: 500; # Al sells: 100
Use the blueprint aid:
| Number Jim sells
Number Al sells |
5C
C |
Total = 600 |
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
87) Brian Smith sells sets of movie posters ($12) and baseball cards ($8) at a local flea market. Last Sunday, Brian’s total sales were $840. People bought 4 times as many movie posters as baseball cards. How many of each did Brian sell? Check your answer.
Answer: 15 cards; 60 posters
Use the blueprint aid:
| Number movies posters
Number baseball cards |
4X
X |
$12
$8 |
Total sales = $840 |
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
88) Peter Mabet sold a total of 400 oatmeal ($1.50) and wheat ($2) breads during the Labor Day weekend. How many of each did Peter sell if total sales were $700? Check your answer. (Let Wheat = W.)
Answer: Number of wheat breads: 200; Number of oatmeal breads: 200
Use the blueprint aid:
| Number wheat
Number oatmeal |
W
400-W |
$2
$1.50 |
2W
1.50(400-W) Total Sales = $700 |
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
89) A + 20 = 55
Answer: 35
Subtract 20 from both sides.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
90) 1,080 = B + 30
Answer: 1,050 = B
Subtract 30 from both sides.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
91) 7B – 70 = 140
Answer: B = 30
Add 70 to both sides and divide both sides by 7.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
92) 8 (A – 5) = 70
Answer: 13.75
Multiply everything in the parentheses times 8 to get 8A – 40 = 70. Then add 40 to both sides to get 8A = 110. Finally divide both sides by 8.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
93) 10A – 20 = 4A + 80 (answer to closest hundredth).
Answer: 16.67
Subtract 4A from both sides to get 6A – 20 = 80. Then, add 20 to both sides to get 6A = 100. Divide both sides by 6 and round to the nearest hundredth.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
94) B + 40 = 90
Answer: 50
Subtract 40 from both sides.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
95) 2,015 = Q + 90
Answer: 1,925
Subtract 90 from both sides.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
96) 5A – 10 = 90
Answer: 20
Add 10 to both sides and divide both sides by 5.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
97) 10 (C – 7) = 30
Answer: 10
Multiply everything in the parentheses by 10, 10C – 70 = 30, add 70 to both sides to get 10C = 100, and then divide by 10.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
98) 20A – 40 = 8A + 160 (answer to nearest hundredth).
Answer: 16.67
Add 40 to both sides and subtract 8a from both sides, 12a = 200, divide both sides by 12, and round to nearest hundredth.
Difficulty: 2 Medium
Topic: LU 05-01 Solving Equations for the Unknown
Learning Objective: 05-01 (2) List the five rules and the mechanical steps used to solve for the unknown in seven situations; know how to check the answers.
Bloom’s: Understand
Type: Static
Accessibility: Keyboard Navigation
99) Over the past month, 700 trucks were sold. Abe sold 6 times as many as Joe. How many did each sell?
Answer: A. Abe sold 600
| Number Abe sold
Number Joe sold |
6T
T |
6T + T
700 |
T + 6T = 700; 7T = 700; T = 100; 6T = 600.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
100) A furniture company produces 4 times as many beds on shift 2 as on shift 1. If a total of 1,000 beds were produced, how many were produced on each shift? A. Number produced on Shift 1. B. Number produced on Shift 2.
Answer: A. Shift 1 produced 200
| Number Shift 1
Number Shift 2 |
A
4A |
A + 4A
1000 |
A + 4A = 1000; 5A = 1000; A = 200
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
101) of all sales were for cash. If cash sales were $28,000, what were the total sales?
Answer:
| Total Sales
Cash Sales |
S | 28,000 |
Multiply the cash sales by 7.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
102) Marika is 8 times Barry’s age. If the difference in their age is 7 years, how old is Marika?
Answer: 8 years old
If Barry’s age is B, Marika’s age is 8B, so the difference in their ages is 8B – B = 7, 7B = 7, or B = 1. Barry then is 1, and Marika is seven years older, or 8.
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
103) Runyon Co. sells T-shirts ($4) and shorts ($5). If total sales were $850 and people bought 3 times as many T-shirts as shorts, what would be the number of T-shirts and shorts sold? A. Number of T-shirts. B. Number of shorts.
Answer: A. 150 T-shirts
| T-shirts
Shorts |
3S
S |
$4
$5 |
4(3S)
5S |
12S + 5S = 850; 17S = 850; S = 50; 3S = 150
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
104) Erasers cost $5 per carton, and pencils cost $7 per carton. If an order comes in for a total of 15 cartons for $85, what number of cartons of each was bought? (Hint: Let cartons of pencils = P.)
Answer: A. 5 Cartons of pencils
| Pencil Cartons
Eraser Cartons |
P
15 – P |
$7
$5 |
7 P
5 (15 – P) |
5 (15 – P) + 7 P = 85
75 – 5 P + 7 P = 85
2 P = 10
P = 5
15 – P = 15 — 5 = 10
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Analyze
Type: Static
Accessibility: Keyboard Navigation
105) The Rand Co. produces 11 times as many rings on shift 1 as on shift 2. If a total of 12,000 rings were produced, how many were produced on each shift? A. Number produced on shift 1. B. Number produced on shift 2.
Answer: A. 11,000
| Shift 1
Shift 2 |
11R
R |
11R + R
Total = 12,000 |
11R + R = 12,000
12R = 12,000
R = 1,000
11(1,000) = 11,000
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
106) Over the past month, 900 telephones were serviced. If Jill services 8 times as many phones as Rose, how many did each service? A. Number Jill serviced. B. Number Rose serviced
Answer: A. Jill serviced 800
| Jill
Rose |
8T
T |
8T+T
Total = 900 |
8T + T = 900
9T = 900
T = 100
8T = 800
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
107) 1/5 of all sales were for cash. If cash sales were $4,000, what were total sales?
Answer: $20,000
| Total Sales
Cash Sales |
S | = Total Cash
Sales |
1/5 S = 4,000
S = 20,000
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
108) Louis is 6 times Mary’s age. If the difference in their ages is 20, how old is Louis?
Answer: 24 years
| Louis
Mary |
6A
A |
6A – A = Difference |
6A – A = 20
5A = 20
A = 4
6(4) = 24
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
109) The Office Supply Store sells index card packs ($2) and boxes of pencils ($7). If total sales were $184 and customers bought 8 times as many index card packs as boxes of pencils, what would be the number of each sold?
Answer: A. 64 index card packs
| Index cards
pencils |
8P
P |
$2
$7 |
16P + 7P
$184 |
16P + 7P = 184
23P = 184
P = 8
8P = 64
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
110) Pens cost $6 per carton, and elastics cost $4 per carton. If an order comes in for a total of 12 cartons for $60, what was the specific number of cartons of pens as well as elastics? (Hint: Let P = Pens) A. Number of cartons of pens; B. Number of cartons of elastics.
Answer: A. 6 cartons of pens
| Pens
elastics |
P
12-P |
$6
$4 |
6P
4(12-P) 60 |
6P + 4(12-P) = 60
6P + 48 – 4P = 60
2P + 48 = 60
2P = 12
P = 6
12-P = 6
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
111) Andy Foll is 6 times as old as Mel Kaas. Andy is 15 years older than Mel. What is Mel’s age?
Answer: 3
| Andy
Mel |
6A
A |
6A – A
15 |
6A – A = 15
5A = 15
A = 3
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
112) Art Neuner and Paul Kosponato sell trucks for Blue Auto. Over the past year, they sold 240 trucks. Assuming Paul sells 7 times as many as Art, how many trucks did each sell? A. Number of trucks Art sold; B. Number of trucks Paul sold.
Answer: A. 30
| Art
Paul |
7T
T |
7T + T
240 |
7T + T = 240
8T = 240
T = 30
7T = 210
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
113) 1/8 of all wood stoves are sold for cash. If cash sales were $2,200 for the week, what was the total of all sales? (Let S = sales.)
Answer: $17,600
| Cash Sales
Total Sales |
S |
$2,200 |
= 2,200
S = 17,600
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
114) Wrenches cost $50 per carton, and hammers cost $150 per carton. If an order comes in for a total of 60 cartons for $5,000, what was the number of cartons of wrenches as well as hammers? (Hint: Let Wrenches = W).
Answer: A. 40 cartons
| wrenches
hammers |
W
60-H |
$50
$150 |
50W
150(60-W) 5,000 |
50W + 150(60-W) = 5,000
50W + 9,000 – 150W = 5,000
-100W +9,000 = 5,000
-100W = -4,000
W = 40
60 – 40 = 20
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
115) The cost of oil is 6 times the cost of wood. The total bill for oil and wood is $700. What was the expense for each? A. Cost of oil; B. Cost of wood
Answer: A. $600
| Oil
Wood |
6C
C |
6C + C
$700 |
6C + C = 700
7C = 700
C = 100
6C = 600
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
116) Jane weighs 12 pounds less than Shelley. Assuming Jane weighs 120 pounds, find Shelley’s weight.
Answer: 132 pounds
| Jane weight
Shelley weight |
W – 12
W |
120
|
W – 12 = 120
W = 132
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
117) Mick and Mack went to a supermarket and bought boxes of soap detergent. Mack could buy only four boxes, which was as much as Mick. How many boxes did Mick buy?
Answer: 20 boxes
| Mick buys
Mack buys |
B
B |
4 |
= 4
B = 20
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
118) Jarvis Co. sells thermometers ($3) and hot water bottles ($7). If total sales were $760 and customers bought 4 times as many thermometers as hot water bottles, what would be the number of each sold? (Let B = number of hot water bottles.) A. Number of Thermometers; B. Number of Bottles.
Answer: A. 160
| thermometers
bottles Total Sales |
4B
B |
$3
$7 |
12B
7B 760 |
12B + 7B = 760
19B = 760
B = 40
4B = 160
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (1) List the steps for solving word problems.; 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
119) At Miduale Electronics, the first shift produced 6 times as many items as the second shift. If total production was 4,900, what was the output for each shift? A. Output from first shift; B. Output from second shift.
Answer: A. 4,200
| Output 1st shift
Output 2nd shift |
6S
S |
6S + S
4,900 |
6S + S = 4,900
7S = 4,900
S = 700
6S = 6(700) = 4,200
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
120) Melons cost $20 per crate, and apples cost $8 per crate. An order comes in for a total of 48 crates for $420. What was the number of crates of melons and apples? (Let crates of melons = M.) A. Number of crates of melons; B. Number of crates of apples.
Answer: A. 3 crates
| Crates melons
Crates apples Total Order |
M
48 – M |
$20
$8 |
20M
8 (48 – M) 420 |
20M + 8 (48 – M) = 420
20M + 384 – 8M = 420
12M + 384 = 420
12M = 36
M = 3
48 – 3 = 45
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (1) List the steps for solving word problems.; 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
121) JCP sold a pair of pants that was reduced by $12.00. The selling price was $48.00. What was the original price?
Answer: $60
| Original price
Selling price |
P
P – 12 |
48 |
P – 12 = 48
P = 60
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
122) Momentum Electronics produces 4 times as many E-readers on shift 1 as it does on shift 2. If a total of 85 E-readers were produced, how many were made on shift 1?
Answer: 68
| Shift 1 total
Shift 2 total |
4X
X |
4X + X
85 |
4X + X = 85
5X = 85
X = 17
4X = 4(17) = 68
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
123) Cecil budgets of his weekly salary for comic books. Cecil’s weekly comic book bill is $30.00. What is his weekly salary?
Answer: $180
| Comic books
Weekly salary |
S | 30
|
= 30
S = 180
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
124) Lucy and Ayu sold a total of 1,080 iPads. Lucy sold 7 times as many as Ayu. How many did each sell? A. Number Lucy sold; B. Number Ayu sold.
Answer: A. 945
| Lucy total
Ayu total |
7X
X |
7X + X
1080 |
7X + X = 1080
8X = 1080
X = 135
7X = 7(135) = 945
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
125) Clare Frances sells air fresheners for automobiles for $6.00 and powdered air cans for $4.00. Total sales were $196. Customers bought 4 times as many air fresheners as powdered air cans. How many of each was sold? What was the total dollar value sold for each? A. Number air fresheners; B. Number powdered air cans
Answer: A. 28
| Air fresheners
Powdered air cans |
4C
C |
$6
$4 |
24C
4C 196 |
24C + 4C = 196
28C = 196
C = 7
4C = 4(7) = 28
Difficulty: 3 Hard
Topic: LU 05-02 Solving Word Problems for the Unknown
Learning Objective: 05-02 (2) Complete blueprint aids to solve word problems; check the solutions.
Bloom’s: Apply
Type: Static
Accessibility: Keyboard Navigation
Original price was: $30.00.$20.00Current price is: $20.00.
Original price was: $30.00.$20.00Current price is: $20.00.
Original price was: $30.00.$20.00Current price is: $20.00.
Original price was: $30.00.$20.00Current price is: $20.00.
Original price was: $30.00.$20.00Current price is: $20.00.
Original price was: $30.00.$20.00Current price is: $20.00.
