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Applied Calculus for the Managerial, Life, and Social Sciences 10th Edition by Soo T. Tan - Test Bank

Applied Calculus for the Managerial, Life, and Social Sciences 10th Edition by Soo T. Tan - Test Bank   Instant Download - Complete Test Bank With Answers     Sample Questions Are Posted Below   1.   a. True   b. False   ANSWER:   False POINTS:   1 QUESTION TYPE:   True / False HAS VARIABLES:   True DATE CREATED:   12/25/2015 …

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Applied Calculus for the Managerial, Life, and Social Sciences 10th Edition by Soo T. Tan – Test Bank

 

Instant Download – Complete Test Bank With Answers

 

 

Sample Questions Are Posted Below

 

1.

  a. True
  b. False

 

ANSWER:   False
POINTS:   1
QUESTION TYPE:   True / False
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

2. Suppose a and b are real numbers other than zero and that . State whether the inequality is true or false.

  a. True
  b. False

 

ANSWER:   False
POINTS:   1
QUESTION TYPE:   True / False
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

3. Determine whether the statement below is true for all real numbers d.

  a. True
  b. False

 

ANSWER:   False
POINTS:   1
QUESTION TYPE:   True / False
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/28/2015 1:56 AM

 

4. If a < b, then ac  >  bc.

  a. True
  b. False

 

ANSWER:   False
POINTS:   1
QUESTION TYPE:   True / False
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

5. A manufacturer of a certain commodity has estimated that her profit in thousands of dollars is given by the expression

where x (in thousands) is the number of units produced.

What production range will enable the manufacturer to realize a profit of at least $6,000 on the commodity?

  a. Between 1,000 and 9,000 units.
  b. Between 5,000 and 10,000 units.
  c. Between 5,000 and 6,000 units.
  d. Between 1,000 and 6,000 units.
  e. Between 1,000 and 10,000 units.

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

6. Rationalize the numerator of the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

7. Use the fact that to evaluate the expression without using a calculator.

  a. 316,200
  b. 316.2
  c. 31.62
  d. 31,620
  e. 3,162,000

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

8. Simplify the expression. (Assume that r, s, and t are positive.)

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

9. Evaluate the expression.

  a. 8
  b. –9
  c. –8
  d. –16
  e. 9

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

10. Determine whether the statement is true or false.

  a. True
  b. False

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

11. Determine whether the statement is true or false.

  a. False
  b. True

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

12. Show the interval  on a number line.

  a. b.
  c. d.
  e.    

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

13. Evaluate the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   2/19/2016 5:24 AM

 

14. Suppose a and b are real numbers other than zero and that . State whether the inequality is true or false.

  a. False
  b. True

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

15. Evaluate the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   2/19/2016 5:58 AM

 

16. Rewrite the expression using positive exponents only.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

17. Simplify the expression. (Assume x and y are positive.)

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   2/19/2016 6:05 AM

 

18. Determine whether the statement below is true for positive real numbers c.

  a. False
  b. True

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/28/2015 1:58 AM

 

19. Rationalize the denominator of the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

20. Rationalize the numerator of the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

21. Find the maximum profit P (in dollars) given that

  a. $40,050
  b. $13,350
  c. $27,000
  d. $26,700
  e. $27,150

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

22. A salesman’s monthly commission is 25% on all sales over $14,000. If his goal is to make a commission of at least $4,800/month, what minimum monthly sales figures must he attain?

  a. $16,400
  b. $33,200
  c. $18,800
  d. $23,600
  e. $28,400

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

23. Simplify the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

24. The diameter x (in inches) of a batch of ball bearings manufactured by PAR Manufacturing satisfies the inequality

What is the smallest diameter a ball bearing in the batch can have?

  a. 0.78 inches
  b. 0.76 inches
  c. 0.8 inches
  d. 0.75 inches
  e. 0.7 inches

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/28/2015 1:59 AM

 

25. Evaluate the expression.

  a. 5
  b. 2
  c. 7
  d. 3
  e. 6

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/28/2015 1:59 AM

 

26. Determine whether the statement is true or false.

If

  a. True
  b. False

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   3/18/2016 12:18 PM

 

27. Find the values of x that satisfy the inequalities.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   2/19/2016 7:36 AM

 

28. Evaluate the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

29. Simplify the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

30. Use the fact that the to evaluate the expression without using a calculator.

Round the answer to the nearest thousandth.

  a. 46.765
  b. 24.994
  c. 5.196
  d. 15.588
  e. 43.075

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

31. Evaluate the expression.

ANSWER:   64
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

32. Use the fact that to evaluate the expression without using a calculator.

ANSWER:   316.2
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

33. Evaluate the expression.

ANSWER:   8
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   2/19/2016 6:30 AM

 

34. Evaluate the expression.

ANSWER:   2
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

35. Find the maximum profit P (in dollars) given that

$ __________

ANSWER:   9,050
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

36. A salesman’s monthly commission is 20% on all sales over $15,000. If his goal is to make a commission of at least $4,800/month, what minimum monthly sales figures must he attain?

$ __________

ANSWER:   39,000
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

37. The diameter x (in inches) of a batch of ball bearings manufactured by PAR Manufacturing satisfies the inequality

What is the smallest diameter a ball bearing in the batch can have? Give your answer to two decimal places, if necessary.

__________ inches

ANSWER:   0.16
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/28/2015 2:00 AM

 

38. Evaluate the expression.

ANSWER:   5
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/28/2015 2:01 AM

 

39. Use the fact that the  to evaluate the expression without using a calculator.

Round the answer to the nearest thousandth, if necessary.

ANSWER:   15.588
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

40. Simplify the expression. (Assume that r, s, and t are positive.)

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   2/19/2016 6:35 AM

 

41. Rationalize the numerator of the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

42. Rewrite the expression using positive exponents only.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

43. Simplify the expression. (Assume x and y are positive.)

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   2/19/2016 6:38 AM

 

44. Rationalize the denominator of the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

45. Rationalize the numerator of the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

46. Simplify the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

47. Evaluate the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

48. Simplify the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

49. A manufacturer of a certain commodity has estimated that her profit in thousands of dollars is given by the expression

where x (in thousands) is the number of units produced.

What production range will enable the manufacturer to realize a profit of at least $8,000 on the commodity?

Between _________ and ________ units.

ANSWER:   1,000; 4,000
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

50. Determine whether the statement is true or false.

ANSWER:   true
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

Match each interval with the corresponding number line.

Choose the correct letter for each question.

a.
b.
c.
d.

 

QUESTION TYPE:   Matching
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

51.

ANSWER:   b
POINTS:   1

 

52.

ANSWER:   d
POINTS:   1

 

53.

ANSWER:   c
POINTS:   1

 

54.

ANSWER:   a
POINTS:   1

 

Match each pair of inequalities with the corresponding values of x.

Choose the correct letter for each question.

a.
b.
c.
d.

 

QUESTION TYPE:   Matching
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:33 AM
DATE MODIFIED:   12/25/2015 9:33 AM

 

55.

ANSWER:   c
POINTS:   1

 

56.

ANSWER:   d
POINTS:   1

 

57.

ANSWER:   b
POINTS:   1

 

58. ​

ANSWER:   a
POINTS:   1

 

1. Rationalize the numerator of the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:34 AM
DATE MODIFIED:   2/19/2016 5:00 AM

 

2. Rationalize the denominator of the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:34 AM
DATE MODIFIED:   12/25/2015 9:34 AM

 

3. Perform the indicated operations and simplify the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:34 AM
DATE MODIFIED:   12/25/2015 9:34 AM

 

4. Simplify the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:34 AM
DATE MODIFIED:   12/25/2015 9:34 AM

 

5. Find the real roots of the equation by factoring.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:34 AM
DATE MODIFIED:   12/25/2015 9:34 AM

 

6. Perform the indicated operations and simplify the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:34 AM
DATE MODIFIED:   12/25/2015 9:34 AM

 

7. Rationalize the numerator of the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:34 AM
DATE MODIFIED:   12/25/2015 9:34 AM

 

8. Rationalize the numerator of the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:34 AM
DATE MODIFIED:   12/25/2015 9:34 AM

 

9. Rationalize the denominator of the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:34 AM
DATE MODIFIED:   12/25/2015 9:34 AM

 

10. Perform the indicated operations and simplify the expression.

 

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:34 AM
DATE MODIFIED:   12/25/2015 9:34 AM

 

11. Perform the indicated operations and simplify the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:34 AM
DATE MODIFIED:   12/25/2015 9:34 AM

 

12. Perform the indicated operations and simplify the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:34 AM
DATE MODIFIED:   12/25/2015 9:34 AM

 

13. Simplify the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:34 AM
DATE MODIFIED:   12/25/2015 9:34 AM

 

14. Solve the equation by using the quadratic formula.

  a.  and
  b.  and
  c.  and
  d.  and
  e.  and

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:34 AM
DATE MODIFIED:   12/25/2015 9:34 AM

 

15. Find the real roots of the equation by factoring.

  a. 3 and -10
  b. 4 and -8
  c. 4 and -7
  d. 5 and -7
  e. 5 and -8

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:34 AM
DATE MODIFIED:   12/25/2015 9:34 AM

 

16. Perform the indicated operations and simplify the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

17. Perform the indicated operations and simplify the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

18. Factor the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

19. Factor the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   3/18/2016 12:19 PM

 

20. Factor out the greatest common factor from the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

21. Factor out the greatest common factor from the expression.

  a.  
  b.
  c.
  d.
  e.

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   2/19/2016 6:17 AM

 

22. Perform the indicated operations and simplify the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

23. Perform the indicated operations and simplify the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

24. Perform the indicated operations and simplify the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

25. Perform the indicated operations and simplify the expression.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

26. Perform the indicated operations and simplify the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

27. Simplify the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

28. Perform the indicated operations and simplify the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

29. Rationalize the denominator of the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

30. Rationalize the numerator of the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

31. Perform the indicated operations and simplify the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

32. Rationalize the numerator of the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

33. Rationalize the numerator of the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

34. Rationalize the denominator of the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

35. Perform the indicated operations and simplify the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

36. Perform the indicated operations and simplify the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

37. Perform the indicated operations and simplify the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

38. Simplify the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

39. Solve the equation by using the quadratic formula.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

40. Perform the indicated operations and simplify the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

41. Factor the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

42. Factor the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

43. Factor out the greatest common factor from the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

44. Factor out the greatest common factor from the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

45. Perform the indicated operations and simplify the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

46. Perform the indicated operations and simplify the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

47. Perform the indicated operations and simplify the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

48. Perform the indicated operations and simplify the expression.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

49. Find the real roots of the equation by factoring.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

50. Find the real roots of the equation by factoring.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:35 AM
DATE MODIFIED:   12/25/2015 9:35 AM

 

1. Determine whether the statement is true or false.

​The circle with equation   lies inside the circle with equation provided .

  a. True
  b. False

 

ANSWER:   True
POINTS:   1
QUESTION TYPE:   True / False
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

2. Determine whether the statement is true or false.​

 

The point ( –n, 0b) is symmetric to the point (n, 0b) with respect to the y-axis.

  a. True
  b. False

 

ANSWER:   True
POINTS:   1
QUESTION TYPE:   True / False
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

3. Ivan wishes to determine which antenna he should purchase for his home. The TV store has supplied him with the information:

                                            Range in Miles    
VHF UHF Model Price
30 20 A $40
45 35 B $50
60 40 C $60
75 55 D $70

Ivan wishes to receive Channel 17 (VHF) that is located 22 mi east and 41 mi north of his home and Channel 38 (UHF) that is located 24 mi south and 44 mi west of his home. Which model will allow him to receive both channels at the least cost? (Assume that the terrain between Ivan’s home and both broadcasting stations is flat.)

  a. Model A
  b. Model C
  c. Model D
  d. Model B

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

4. Find an equation of the circle that satisfies the conditions.

Center and passes through  .

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

5. Find the coordinates of the points that are 10 units away from the origin and have an x-coordinate equal to 8.

  a.
  b.
  c.  and
  d.  and
  e.  and

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

6. Find the distance between the points   and .

  a. 11
  b.
  c. 61
  d.
  e. 37

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

7. A furniture store offers free setup and delivery services to all points within a 23-mi radius of its warehouse distribution center. If you live 19 mi east and 14 mi south of the warehouse, will you incur a delivery charge?

  a. No
  b. Yes

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

8. Ship A leaves port sailing north at a speed of 25 mph. A half hour later, ship B leaves the same port sailing east at a speed of 16 mph. Let t (in hours) denote the time ship B has been at sea. Find an expression in terms of t giving the distance between the two ships and use this expression to find the distance between the two ships 3 hours after ship A has left port. Round the answer to the nearest tenth.

  a. 86.0 mi
  b. 78.0 mi
  c. 83.5 mi
  d. 83.0 mi
  e. 85.0 mi

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

9. Plot point (8, –7) on the set of coordinate axes.

  a. b.
  c. d.
  e.    

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

10. Two ships leave port at the same time. Ship A sails north at a speed of 24 mph while ship B sails east at a speed of 36 mph.

a. Find an expression in terms of the time t (in hours) giving the distance between the two ships.

b. Using the expression obtained in part (a), find the distance between the two ships 1 hr after leaving port. Round the answer to the nearest tenth.

  a.  and 43.3
  b.  and 47.3
  c.  and 43.3
  d.  and 39.3
  e.  and 39.3

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

11. The circle with equation   lies out side the circle with equation   means.

  a. k ≥ 1
  b. k > 1
  c. k < 1
  d. k ≤ 1
  e. these curves are intersecting

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

12. A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the following figure, find the total distance covered on the tour.

  a. 2,300 mi
  b. 2,200 mi
  c. 2,100 mi
  d. 2,000 mi
  e. 1,600 mi

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

13. Find an equation of the circle with center at (-a, 0a) and radius 5a.

  a.  
  b.  
  c.  
  d.  
  e.  

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

14. Find an equation of the circle with center at the origin that passes through (2, 1).

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

15. Find an equation of the circle with radius 2 and center (–3, –5).

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

16. Find the coordinates of the points that are 5 units away from the origin and have a y-coordinate equal to –3.

  a.  and
  b.  and
  c.  and
  d.  and
  e.  and

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

17. Refer to the following figure and determine the coordinates of point  and the quadrant in which it is located.

  a. (3, –4) and first quadrant
  b. (2, –2) and first quadrant
  c. (2, –2) and fourth quadrant
  d. (–4, 0) and fourth quadrant
  e. (3, –4) and fourth quadrant

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

18. Find the distance between the points (–2, –3) and (6, 10).

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

19. Refer to the following figure. Which point has an x-coordinate that is equal to zero?

  a. C
  b. A
  c. B
  d. E
  e. F

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

20. Refer to the following figure. Which point has a y-coordinate that is equal to zero?

  a. G
  b. B
  c. E
  d. C
  e. A

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

21. Refer to the following figure. Which points have a negative x-coordinate and a negative y-coordinate?

  a. B
  b. D, F
  c. E, A
  d. G, C
  e. A, C, B

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

22. Refer to the following figure. Which points have negative y-coordinates?

  a. E, B, C
  b. A, B, D
  c. F, A, E, C
  d. F, A, D, G
  e. G, D, B

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

23. Refer to the following figure. Which point has coordinates (-3, 4)?

  a. D
  b. G
  c. C
  d. A
  e. B

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

24. Refer to the following figure. What are the coordinates of point B?

  a. (10, -6)
  b. (14, 14)
  c. (4, 10)
  d. (-3, 3)
  e. (-9, -13)

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

25. Determine which statements are true.

  a. The point (-(a), (b)) is symmetric to the point (0(a), (b)) with respect to the origin.
  b. The point (-(a), 0(b)) is symmetric to the point (0(a), -(b)) with respect to the origin.
  c. The point ((a), -(b)) is symmetric to the point ((a), 0(b)) with respect to the x-axis.
  d. The point (-(a), 0(b)) is symmetric to the point (0(a), -(b)) with respect to the y-axis.
  e. The point (-(a), (b)) is symmetric to the point (0(a), (b)) with respect to the y-axis.

 

ANSWER:   b, c, e
POINTS:   1
QUESTION TYPE:   Multiple Response
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/28/2015 2:12 AM

 

26. A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the following figure, find the total distance covered on the tour.

__________mi

ANSWER:   1,800
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

27. Find the distance between the points  and .

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

28. Find the coordinates of the points that are 13 units away from the origin and have an x-coordinate equal to 5.

ANSWER:   (5,12), (5,-12)
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

29. Find an equation of the circle that satisfies the conditions.

Center  and passes through .

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

30. Find an equation of the circle with center at (-a, 0a) and radius 2a.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

31. Find an equation of the circle with center at the origin that passes through (1, 2).

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

32. Find an equation of the circle with radius 5 and center (1, 1).

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

33. Refer to the following figure. Which points have a negative x-coordinate and a negative y-coordinate?

ANSWER:   G, E, B
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

34. Refer to the following figure. Which points have negative y-coordinates?

ANSWER:   E, F, B, A
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

35. Refer to the following figure. Which point has coordinates (-8, 3)?

ANSWER:   B
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

36. Refer to the following figure. What are the coordinates of point C?

ANSWER:   (-6, 3)
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

37. Find the coordinates of the points that are 5 units away from the origin and have a y-coordinate equal to –3.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

38. Refer to the following figure. Which point has a y-coordinate that is equal to zero?

ANSWER:   B
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

39. Find the distance between the points (–3, 2) and (5, 9).

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

40. Refer to the following figure. Which point has an x-coordinate that is equal to zero?

ANSWER:   C
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

41. Ivan wishes to determine which antenna he should purchase for his home. The TV store has supplied him with the information:

Range in Miles    
VHF UHF Model Price
30 20 A $40
45 35 B $50
60 40 C $60
75 55 D $70

Ivan wishes to receive Channel 17 (VHF) that is located 20 mi east and 45 mi north of his home and Channel 38 (UHF) that is located 23 mi south and 33 mi west of his home. Which model will allow him to receive both channels at the least cost? (Assume that the terrain between Ivan’s home and both broadcasting stations is flat.)

Model __________

ANSWER:   D
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

42. A furniture store offers free setup and delivery services to all points within a 24-mi radius of its warehouse distribution center. If you live 20 mi east and 14 mi south of the warehouse, will you incur a delivery charge? Justify your answer.

ANSWER:   Yes. The distance mi between house and warehouse is more than 24 mi.
POINTS:   1
QUESTION TYPE:   Essay
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:40 AM
DATE MODIFIED:   12/25/2015 9:40 AM

 

1. Determine whether lie on a straight line.

  a. no
  b. yes

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:41 AM
DATE MODIFIED:   12/25/2015 9:41 AM

 

2. Use the intercept form of an equation of a line to find an equation of a line with the x-intercept 3 and the y-intercept 4.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:41 AM
DATE MODIFIED:   12/25/2015 9:41 AM

 

3. Given that the point lies on the line , find k.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:41 AM
DATE MODIFIED:   12/25/2015 9:41 AM

 

4. If the line passing through the points is parallel to the line passing through the points  and , what is the value of a?

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:41 AM
DATE MODIFIED:   12/25/2015 9:41 AM

 

5. Write the equation in the slope-intercept form and then find the slope and -intercept of the corresponding line.

  a.
  b.
  c.
  d.

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:41 AM
DATE MODIFIED:   12/25/2015 9:41 AM

 

6. Metro Department Store’s annual sales (in millions of dollars) during the past 5 yr were

Annual Sales, y 5.8 6.2 7.4 8.5 9.2
Year, x 1 2 3 4 5

Derive an equation of the line L through the points corresponding to the first and fifth years.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:41 AM
DATE MODIFIED:   12/25/2015 9:41 AM

 

7. If the slope of the line L1 is negative, then the slope of a line L2 perpendicular to L1 may be positive or negative?

  a. negative
  b. positive

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:41 AM
DATE MODIFIED:   12/25/2015 9:41 AM

 

8. Using data compiled by the Admissions Office at Faber University, college admissions officers estimate that 54% of the students who are offered admission to the freshman class at the university will actually enroll. If the desired freshman class size for the upcoming academic year is 810 students, how many students should be admitted?

  a. 1,650
  b. 900
  c. 1,950
  d. 1,200
  e. 1,500

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:41 AM
DATE MODIFIED:   12/25/2015 9:41 AM

 

9. Determine whether the points A(-2, 9), B(4, -1), and C(7, -6) lie on a straight line.

  a. yes
  b. no

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:41 AM
DATE MODIFIED:   12/25/2015 9:41 AM

 

10. Find an equation of the line in general form that passes through the point (5, 8) and is perpendicular to the line .

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:41 AM
DATE MODIFIED:   12/25/2015 9:41 AM

 

11. Find an equation of the line in general form that passes through the point (-6, 6) and is parallel to the line .

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   b
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:41 AM
DATE MODIFIED:   12/25/2015 9:41 AM

 

12. Find an equation of the line that parallel to the x-axis and 8 units below it.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:41 AM
DATE MODIFIED:   12/25/2015 9:41 AM

 

13. Writing the equation in the slope intercept form, find the slope of the line.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:41 AM
DATE MODIFIED:   12/25/2015 9:41 AM

 

14. Find an equation of the line that has slope and y-intercept .

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:41 AM
DATE MODIFIED:   12/25/2015 9:41 AM

 

15. Find an equation of the line that passes through the points (1, 3) and (3, 13).

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:41 AM
DATE MODIFIED:   12/25/2015 9:41 AM

 

16. Find an equation of the line that passes through the point (1, -9) and has the indicated slope m = 8.

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   e
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

17. Find an equation of the horizontal line that passes through (-2, -7).

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

18. If the line passing through the points (2, a) and (4, –5) is parallel to the line passing through the points (7, 9) and (2, a + 11), what is the value of a?

  a. –3
  b. –8
  c. –7
  d. –5
  e. –4

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

19. Determine whether the line through each pair of points is perpendicular.

A(3, 9), B(7, 4) and C(–4, –13), D(1, –8)

  a. not perpendicular
  b. perpendicular

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

20. Determine whether the line through each pair of points is parallel.

  a. not parallel
  b. parallel

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/28/2015 2:17 AM

 

21. Given the equation , if x decreases by  2 units, what is the corresponding change in y?

  a.
  b.
  c.
  d.
  e.

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

22. Find the slope of the line that passes through points and .

  a. 5
  b. 2
  c. 3
  d. 7
  e. 6

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

23. Find the slope of the line that passes through points and .

  a. 5
  b. 6
  c. 2
  d. 4
  e. 1

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

24. Find the slope of the line shown in the figure.

  a.
  b.
  c. ​2
  d. ​-1
  e. ​1

 

ANSWER:   d
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

25. Find the slope of the line shown in the figure.

  a.
  b.
  c. ​3
  d. -3
  e. 1

 

ANSWER:   a
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

26. Given the graph of a line, which of the following statements is true?

  a. The slope of the line is negative, and its y-intercept is positive.
  b. The slope of the line is negative, and its y-intercept is negative.
  c. The slope of the line is positive, and its y-intercept is positive.
  d. The slope of the line is positive, and its y-intercept is negative.
  e. The slope of the line is zero.

 

ANSWER:   c
POINTS:   1
QUESTION TYPE:   Multiple Choice
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

27. If the line passing through the points (a, 1) and (5, 7) is parallel to the line passing through the points (1, 6) and (a + 1,3), what is the value of a?

a = __________

ANSWER:   -5
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   False
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

28. Given that the point lies on the line , find k.

k = __________

ANSWER:   9
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

29. Find the slope of the line shown in the figure.

m = __________

ANSWER:   -1
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

30. If the line passing through the points (1, a) and (2, –8) is parallel to the line passing through the points (9, 8) and (2, a + 10), what is the value of a?

a = __________

ANSWER:   -9
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

31. Find the slope of the line that passes through points and .

m = __________

ANSWER:   1
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

32. Find the slope of the line that passes through points and .

m = __________

ANSWER:   3
POINTS:   1
QUESTION TYPE:   Numeric Response
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

33. Use the intercept form of an equation of a line to find an equation of a line with the x-intercept 5 and the ​y-intercept 2.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

34. Find the slope of the line shown in the figure.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

35. Find an equation of the line that passes through the point (6, 7) and is perpendicular to the line

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/28/2015 2:19 AM

 

36. Find an equation of the line that passes through the point  and is parallel to the line

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/28/2015 2:22 AM

 

37. Find an equation of the line that is parallel to the x-axis and 1 units below it.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

38. Find an equation of the line that has slope m = 9 and y-intercept b = 1.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

39. Find an equation of the line that passes through the points (2, 9) and (–1, –12).

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

40. Find an equation of the line that passes through the point (3, -5) and has the slope m = 8.

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

41. Find an equation of the horizontal line that passes through (-4, -3).

ANSWER:  
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

42. Determine whether A(-2, 1), B​(1, 7), and C(4, 14) lie on a straight line. Answer yes or no.

ANSWER:   no
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

43. If the slope of the line L1 is positive, then the slope of a line L2 perpendicular to L1 may be positive or negative?

ANSWER:   negative
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

44. Determine whether the points A(–2, 5), B(2, –3), and C(8, –14) lie on a straight line. Answer yes or no.

ANSWER:   no
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

45. Determine whether the line through each pair of points is perpendicular. Answer perpendicular or not perpendicular.

A(3, 9), B(11, 5) and C(–3, –9), D(2, 1)

ANSWER:   perpendicular
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

46. Determine whether the line through each pair of points is parallel. Answer parallel or not parallel.

A(1, -2), B(-3, –10) and C(1, 2), D(-1, –8)

ANSWER:   not parallel
POINTS:   1
QUESTION TYPE:   Subjective Short Answer
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

Match the statement with one of the graphs.

Choose the correct letter for each question.

a. The slope of the line is undefined.
b. The slope of the line is positive, and its y-intercept is positive.
c. The slope of the line is positive, and its y-intercept is negative.
d. The slope of the line is zero.

 

QUESTION TYPE:   Matching
HAS VARIABLES:   True
DATE CREATED:   12/25/2015 9:42 AM
DATE MODIFIED:   12/25/2015 9:42 AM

 

47. ​

ANSWER:   d
POINTS:   1

 

48. ​

ANSWER:   c
POINTS:   1

 

49. ​

ANSWER:   b
POINTS:   1

 

50. ​

ANSWER:   a
POINTS:   1

 

 

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