Name:    RC3:  Functions and Statistics - Algebra 1 SOL Simulation 2012

(Questions courtesy of Chesterfield County Public Schools)

Multiple Choice

Identify the choice that best completes the statement or answers the question.

1. a. b. c. d. 2.

Which function has an x-intercept of 4?
 a. b. c. d. 3.

The class results for a math test had a mean score of 78.35 and a standard deviation of 6.24.  If a student’s score was 87, what was the student’s z-score for the test, rounded to the nearest hundredth?
 a. 1.39 b. 1.03 c. 0.83 d. -1.39

4.

A function g is described
·      g(x) = (x – 3)2 + 6
·      The domain of g is all real numbers greater than 0.
The range of g is all real numbers greater than or equal to –
 a. 9 b. 6 c. 3 d. -3

5.

·      Let n represent the number of calories a person burns.
·      Let t represent the amount of time, in minutes, spent running.

A person burned 275 calories running for 22 minutes.
The next day the same person burned 450 calories running for
36 minutes.
Which equation best describes this relationship?
 a. b. c. d. 6. a. 84 b. 87 c. 91 d. 93

7.

If f(-3) = 14, which could be the equation for f(x)?
 a. f(x) = -3x – 5 b. f(x) = x – 17 c. f(x) = 4x + 2 d. f(x) = 5 – 3x

8. a. 39 b. 16 c. 13 d. 9

9.

Which of the following relations represents an inverse variation?
 a. b. c. d. 10.

Given the relation B = {(4, 3), (5, 8), (9, 7), (x, 5)}.  Which of the following values for x will make the relation B a function?
 a. 4 b. 5 c. 7 d. 9

11.

The data shown represents the number of text messages sent from       various phones.  The data has a mean of 34 and a standard       deviation of 8.1, rounded to the nearest tenth.

{19, 23, 26, 29, 32, 33, 37, 38, 40, 42, 43, 46}

How many of these data points have a z-score greater than -0.3?
 a. 3 b. 4 c. 6 d. 8

12. a. f(x) = x + 5 b. f(x) = 3x + 1 c. f(x) = 2x + 2 d. f(x) = 4x

13.

A painting contractor determined the average amount of time       needed to paint a house.
·      When 2 painters are used it takes 20 hours to paint the exterior of a house.
·      When 6 painters are used it takes hours to paint the exterior of a house.

·      Let p represent the number of painters.
·      Let h represent the amount of time, in hours, required
to paint a house.

 a. The time required to paint a house varies directly with the       number of painters because h = 10p. b. The time required to paint a house varies directly with the       number of painters because ph = 40. c. The time required to paint a house varies inversely with the       number of painters because h = 10p. d. The time required to paint a house varies inversely with the       number of painters because ph = 40.

14.

The data displays fuel efficiency ratings for ten vehicles classified       by the U.S. Environmental Protection Agency as hybrid vehicles.

{48, 40, 35, 34, 29, 27, 26, 24, 21, 20}

What is the approximate standard deviation of the fuel efficiency       ratings?
 a. 30.4 b. 28 c. 8.9 d. 8.4

15. a. I and III b. I, IV, and V c. I, III, and IV d. I, II, III, and IV

16. a. The data for 1999 is more dispersed than the data for 1997. b. The lower 25% of the data for 1999 is less than the minimum value for 1997. c. The interquartile range for 1999 is more dispersed than the interquartile range for 1997. d. The data is spread more to the right of the median than to the left for both 1997 and 1999.

17. a. b. c. y = 3.5x – 6 d. y = 6x – 3.5

18. a. b. c. d. 19. The cost of a ticket to Funland varies according to the season.        Which of the following conclusions about the number of tickets       purchased and the cost per ticket is best supported by the       scatter plot shown?
 a. The cost per ticket increases as the number of tickets purchased increases. b. The cost per ticket decreases as the number of tickets purchased increases. c. The cost per ticket is unchanged as the number of tickets             purchased increases. d. There is no relationship between the cost per ticket and the       number of tickets purchased.

20. a. {-6, -2, 3} b. {-2, 3} c. {-6, 3} d. {-6, -2}