chapter 2 form a - test bank and solution manual for your...

CHAPTER 2 FORM A

Name________________________________________

Determine whether the given ordered pair is a solution of the given equation.

1) 2x - 3y = 21; (3, 5)

A) Yes B) No

Graph the linear equation.

2) -25y = 5x + 30

A)

x-10 -5 5 10

y10

5

-5

-10

x-10 -5 5 10

y10

5

-5

-10

B)

x-10 -5 5 10

y10

5

-5

-10

x-10 -5 5 10

y10

5

-5

-10

C)

x-10 -5 5 10

y10

5

-5

-10

x-10 -5 5 10

y10

5

-5

-10

D)

x-10 -5 5 10

y10

5

-5

-10

x-10 -5 5 10

y10

5

-5

-10

- 1 -

Copyright © 2011 Pearson Education Inc. Publishing as Addison-Wesley.

Sketch the graph of the equation.

3) y = x2 + 1

A)

x-10 -5 5 10

y10

5

-5

-10

x-10 -5 5 10

y10

5

-5

-10

B)

x-10 -5 5 10

y10

5

-5

-10

x-10 -5 5 10

y10

5

-5

-10

C)

x-10 -5 5 10

y10

5

-5

-10

x-10 -5 5 10

y10

5

-5

-10

D)

x-10 -5 5 10

y10

5

-5

-10

x-10 -5 5 10

y10

5

-5

-10

Solve the problem.

4) Bridge's Car Sales opened as a used car sales lot in 2001. The graph shows the number of cars sold as a function

of time. How many cars were sold in 2002?

x2001 2002 2003 2004 2005 2006

y

900

800

700

600

500

400

300

200

x2001 2002 2003 2004 2005 2006

y

900

800

700

600

500

400

300

200

A) 600 B) 500 C) 250 D) 650

- 2 -


Find the slope of the line, if it is defined.

5) Through (-1, -9) and (7, 4)

A)5

6B)

13

8C) -

13

8D) Undefined

Write an equation in slope-intercept form of a line satisfying the given conditions.

6) Slope - 4

9; y-intercept 4

A) y = 4

9x - 4 B) y = -

4

9x - 4 C) y =

4

9x + 4 D) y = -

4

9x + 4

Identify whether the slope is positive, negative, zero, or undefined.

7)

x

y

x

y

A) Positive B) Negative C) Zero D) Undefined

- 3 -


Choose one of the four graphs which most closely resembles the graph of the given equation.

8) y = -2

A)

x-4 4

y4

-4

x-4 4

y4

-4

B)

x-4 4

y4

-4

x-4 4

y4

-4

C)

x-4 4

y4

-4

x-4 4

y4

-4

D)

x-4 4

y4

-4

x-4 4

y4

-4

Write an equation in standard form for a line passing through the pair of points.

9) (-4, 7) and (-4, 6)

A) y = 7

B) 6x + 7y = 0

C) x = -4

D) 7x + 6y = 0

E) None of the above

Convert the temperature.

10) 76°C = °F

A) 194.4°F B) 74.2°F C) 168.8°F D) 55.0°F

Compute r, the correlation coefficient.

11) The test scores of 6 randomly picked students and the number of hours they prepared are as follows:

Hours 5 10 4 6 10 9

Score 64 86 69 86 59 87

A) 0.2242 B) -0.2242 C) -0.6781 D) 0.6781

- 4 -


Solve the problem using your calculator.

12) The paired data below consist of the test scores of 6 randomly selected students and the number of hours they

studied for the test. Use linear regression to find a linear function that predicts a student's score as a function of

the number of hours he or she studied.

Hours 5 10 4 6 10 9

Score 64 86 69 86 59 87

A) y = -67.3 + 1.07x B) y = 33.7 - 2.14x C) y = 33.7 + 2.14x D) y = 67.3 + 1.07x

Solve the problem.

13) A study was conducted to compare the average time spent in the lab each week versus course grade for computer

students. The results are recorded in the table below. By using linear regression, the following function is

obtained: y = -2.88 + 6.23x, where x is the number of hours spent in the lab and y is grade on the test. Use this

function to predict the grade of a student who spends 8 hours in the lab.

Number of Hours

Spent in Lab

Grade

(Percent)

12 72

11 64

14 83

10 61

15 92

A) 35 B) 47 C) 41 D) 53

Solve the inequality and graph the solution.

14) -3(2z + 2) < -9z - 9

A) (-9, ∞)

-9-9B) (-1, ∞)

-1-1C) (-∞, -1)

-1-1D) (-∞, -9)

-9-9

Solve the problem.

15) A retailer knows that n games can be sold in a month if the price is 30 - 0.3n dollars per game. If he buys each

game for $6, and if he wishes to make a profit of at least $450 per month on sales of this game, how many games

must he sell each month?

A) 30 ≤ n ≤ 50 B) 25 ≤ n ≤ 30 C) 25 ≤ n ≤ 40 D) 30 ≤ n ≤ 80

- 5 -


Graph the solution of the inequality.

16) x ≤ 12

A) 1212

B) -12-12

C) -12 12-12 12

D) -12 12-12 12

Solve the inequality.

17) Company A rents copiers for a monthly charge of $180 plus 12 cents per copy. Company B rents copiers for a

monthly charge of $360 plus 6 cents per copy. What is the number of copies above which Company A's charges

are the higher of the two?

A) 6000 copies B) 1500 copies C) 3100 copies D) 3000 copies


18) s2 - 4s - 12 < 0

A) (-∞, -2), (6, ∞)

-2 6-2 6

B) (-2, 6)

-2 6-2 6

C) (6, ∞)

66

D) (-∞, -2)

-2-2


19)6x

4 - x ≥ 3x

A) (-∞, 0], [2, 4) B) [4, ∞) C) [0, 2] or [4, ∞) D) (-∞, 2], [4, ∞)

Solve the problem.

20) The cost of producing t units is C = 3t2 + 6t, and the revenue generated from sales is R = 4t2 + t. Determine the

number of units to be sold in order to generate a profit.

A) t > 0 B) t > 7 C) t > 6 D) t > 5

- 6 -


Answer Key

Testname: CHAPTER 2 FORM A

1) B

2) C

3) D

4) B

5) B

6) D

7) B

8) A

9) C

10) C

11) A

12) D

13) B

14) C

15) A

16) D

17) D

18) B

19) A

20) D

- 7 -


CHAPTER 2 FORM B

Name________________________________________


1) x2 + y2 - 8x + 6y = 28; (2, -4)

A) Yes B) No

Find the x-intercept(s) and y-intercept(s) of the graph of the equation.

2) 2x + y = -8

A) x-intercept: -4; y-intercept: -8

B) x-intercept: 8; y-intercept: -8

C) x-intercept: -8; y-intercept: 8

D) x-intercept: -8; y-intercept: -4


Sketch the graph of the equation.

3) y = 81 - x2

A)

x-10 -5 5 10

y10

5

-5

-10

x-10 -5 5 10

y10

5

-5

-10

B)

x-10 -5 5 10

y10

5

-5

-10

x-10 -5 5 10

y10

5

-5

-10

C)

x-10 -5 5 10

y10

5

-5

-10

x-10 -5 5 10

y10

5

-5

-10

D)

x-10 -5 5 10

y10

5

-5

-10

x-10 -5 5 10

y10

5

-5

-10

- 8 -


Solve the problem.

4) Bridge's Car Sales opened as a used car sales lot in 2005. The graph shows the number of cars sold as a function

of time. What was the increase in sales between 2006 and 2009?

x2005 2006 2007 2008 2009

y160

150

140

130

120

110

100Sal

es (

Th

ou

san

ds

of

Do

llar

s)

x2005 2006 2007 2008 2009

y160

150

140

130

120

110

100Sal

es (

Th

ou

san

ds

of

Do

llar

s)

A) $60,000 B) $20,000 C) $50,000 D) $10,000


5) Through (-9, -5) and (-9, 3)

A) 8 B) 4 C) 2 D) Undefined

Find the slope and the y-intercept of the line.

6) 3x - 5y = 21

A) m = - 3

5; b = 21

B) m = 5

3; b = -

21

5

C) m = - 5

3; b = -5

D) m = 3

5; b = 21


- 9 -



7)

x

y

x

y


Decide whether the pair of lines is parallel, perpendicular, or neither.

8) The line through (3, -5) and (-1, 7) and the line through (6, -13) and (-2, 11)

A) Parallel B) Perpendicular C) Neither

Find an equation of the the line satisfying the given conditions.

9) Through (7, 2); perpendicular to 7x + 5y = 59

A) 5x + 7y = 21

B) 5x - 7y = 59

C) 5x - 7y = 1

D) 5x + 7y = -59


Solve the problem.

10) Suppose the sales of a particular brand of appliance satisfy the relationship S(x) = 250x + 1600, where S(x)

represents the number of sales in year x, with x = 0 corresponding to 2002. Find the number of sales in 2009.

A) 5850 B) 11,450 C) 5600 D) 11,700


11) The following are costs of advertising (in thousands of dollars) and the number of products sold (in thousands):

Cost 9 2 3 4 2 5 9 10

Number 85 52 55 68 67 86 83 73

A) 0.2456 B) -0.0707 C) 0.2353 D) 0.7077

- 10 -



12) The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant

grew (in millimeters). Use linear regression to find a linear function that predicts a plant's growth as a function of

temperature.

Temp 62 76 50 51 71 46 51 44 79

Growth 36 39 50 13 33 33 17 6 16

A) y = -14.6 - 0.211x B) y = 14.6 + 0.211x C) y = 7.30 - 0.112x D) y = 7.30 + 0.122x


13) z - 9 < -10

A) (-1, ∞)

-1-1B) (-∞, -1]

-1-1C) [-1, ∞)

-1-1D) (-∞, -1)

-1-1

Solve the problem.

14) The equation y = 0.003x + 0.40 can be used to determine the approximate profit, y in dollars, of producing x

items. How many items must be produced so the profit will be at least $3573?

A) 0 < x ≤ 1,190,866 B) x ≥ 1,190,867 C) x ≥ 1,250,410.35 D) x ≥ 1,191,134

15) Sue drove her car 236 miles in January, 217 miles in February, and 342 miles in March. If her average mileage

for the four months from January to April is to be at least 299 miles, how many miles must she drive in April?

A) At most 299 miles

B) At least 274 miles

C) At most 401 miles

D) At least 401 miles


- 11 -



16) 6x + 3 ≥ 15

A) -3 2-3 2

B) -3 2-3 2

C) -3 2-3 2

D) -3 2-3 2


17) Gesher Back Packs, Inc., finds that the cost to make x back packs is C = 97x + 8,584, while the revenue produced

from them is R = 147x (C and R are in dollars). What is the smallest whole number of back packs, x, that must be

sold for the company to show a profit?

A) 172 B) 171 C) 89 D) 59

18) 4k3 - 4k2 ≤ 3k

A) -∞, - 1

2 or 0,

3

2B) -∞, -

1

2 or 0,

3

2C) -∞, -

1

2 or 0,

3

2D) -∞, -

1

2 or 0,

3

2

19)x2 + 4x - 5

x2 - 2x - 63 < 0

A) (-7, -5), (1, 9) B) (-7, -5), (1, ∞) C) (-5, 1), (9, ∞) D) (-∞, -5), (-7, 9)

Solve the problem.

20) A rectangular enclosure must have an area of at least 2000 yd2. If 180 yd of fencing is to be used, and the width

cannot exceed the length, within what limits must the width of the enclosure lie?

A) 45 ≤ w ≤ 50 B) 40 ≤ w ≤ 50 C) 40 ≤ w ≤ 45 D) 0 ≤ w ≤ 40

- 12 -


Answer Key

Testname: CHAPTER 2 FORM B

1) B

2) A

3) B

4) B

5) D

6) E

7) C

8) A

9) E

10) A

11) D

12) B

13) D

14) B

15) D

16) B

17) A

18) A

19) A

20) C

- 13 -


CHAPTER 2 FORM C

Name________________________________________


1)x2

6 +

y2

5 = 1; (1, -1)

A) Yes B) No


2) y = x2 + 2

A) x-intercept (2, 0), y-intercept (0, 2) B) x-intercept (2, 0), no y-intercepts

C) no x-intercepts, y-intercept (0, 2) D) no x-intercepts, y-intercept (2, 0)

Use a graphing calculator to find the graph of the equation.

3) y = x3 - 3x + 2

A)

x-5 5

y4

-4

x-5 5

y4

-4

B)

x-5 5

y4

-4

x-5 5

y4

-4

C)

x-5 5

y4

-4

x-5 5

y4

-4

D)

x-5 5

y4

-4

x-5 5

y4

-4

- 14 -


Solve the problem.

4) The height h in feet of a projectile thrown upward from the roof of a building after time t seconds is shown in the

graph below. How high will the projectile be after 2.5 seconds?

time1 2 3 4 5 6 7 8

height

600

500

400

300

200

100

time1 2 3 4 5 6 7 8

height

600

500

400

300

200

100

A) 454 ft B) 549 ft C) 522 ft D) 346 ft


5) Through the origin and (-2, -6)

A) 3 B) -6 C) -3 D) 2

Find the slope and the y-intercept of the line.

6) x + y = 1

A) m = 1; b = -1 B) m = 0; b = -1 C) m = -1; b = 1 D) m = 1; b = 0


7)

x

y

x

y


Decide whether the pair of lines is parallel, perpendicular, or neither.

8) The line through (-20, 5) and (-4, 7) and the line through (-5, 5) and (7, 4)

A) Parallel B) Perpendicular C) Neither

- 15 -


Find an equation of the line satisfying the given conditions.

9) Through (-7, -14); parallel to -7x + 5y = 14

A) 5x - 7y = -14

B) -7x + 5y = 14

C) -7x + 5y = -21

D) -7x - 5y = -21


Solve the problem.

10) Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were

$8000 in 2004 and $87,000 in 2009. Let x = 0 represent 2004. Find the equation giving yearly sales S(x).

A) S(x) = 79,000x + 8000

B) S(x) = 15,800x + 8000

C) S(x) = 15,800x + 87,000

D) S(x) = 79,000x + 87,000



11) The following are the temperatures on randomly chosen days and the amount a certain kind of plant grew (in

millimeters):

Temp 62 76 50 51 71 46 51 44 79

Growth 36 39 50 13 33 33 17 6 16

A) 0 B) 0.2563 C) 0.1955 D) -0.2105

Solve the problem.

12) Five students in a graduate program were randomly selected. The following data were obtained regarding their

GPA's on entering the program versus their current GPA's. Using linear regression, the following function is

obtained: y = -1.3630 + 1.3704x, where x is the entering GPA and y is the current GPA. Use this function to

predict current GPA of a student whose entering GPA is 2.9.

Entering GPA Current GPA

3.5 3.6

3.6 3.4

3.6 3.5

3.8 3.9

3.9 4.0

A) 2.6 B) 2.3 C) 2.8 D) 2.4

- 16 -



13) 11 - 3x - 10 ≥ -4x - 4

A) (-∞, -3)

-3-3B) [-5, ∞)

-5-5C) (-3, ∞)

-3-3D) (-∞, -5]

-5-5

Solve the problem.

14) The equation y = 0.003x + 0.30 can be used to determine the approximate cost, y in dollars, of producing x items.

How many items must be produced so the cost will be no more than $410?

A) 0 < x ≤ 143,395.35 B) 0 < x ≤ 136,567

C) 0 < x ≤ 136,568 D) 0 < x ≤ 136,767

15) During the first four months of the year, Jack earned $1410, $780, $530 and $1390. If Jack must have an average

salary of at least $1090 in order to earn retirement benefits, what must Jack earn in the fifth month in order to

qualify for benefits?

A) At least $1040 B) At least $1340 C) At most $1090 D) At most $1028


16) r + 2.3 < 7

A) -4.7 9.3-4.7 9.3

B) -9.3 4.7-9.3 4.7

C) -4.7 9.3-4.7 9.3

D) -9.3 4.7-9.3 4.7

- 17 -



17) (x - 9)(x + 1) > 0

A) (-1, ∞)

-1-1

B) (-∞, -9), (1, ∞)

-9 1-9 1

C) (-∞, -1), (9, ∞)

-1 9-1 9

D) (-1, 9)

-1 9-1 9


18)-6

-6x - 6 > 0

A) -∞, 1 B) 0, ∞ C) - 1, ∞ D) -∞, - 1

19)x2 + 2x - 15

x2 - 3x - 70 < 0

A) (-7, -5), (3, ∞) B) (-7, -5), (3, 10) C) (-5, 3), (10, ∞) D) (-∞, -5), (-7, 10)

Solve the problem.

20) If a rocket is propelled upward from ground level, its height in meters after t seconds is given by

h = -9.8t2 + 88.2t. During what interval of time will the rocket be higher than 196 m?

A) 8 < t < 9 B) 5 < t < 8 C) 4 < t < 5 D) 0 < t < 4

- 18 -


Answer Key

Testname: CHAPTER 2 FORM C

1) B

2) C

3) B

4) A

5) A

6) C

7) D

8) C

9) C

10) B

11) C

12) A

13) B

14) B

15) B

16) B

17) C

18) C

19) B

20) C

- 19 -


CHAPTER 2 FORM D

Name________________________________________

Graph the linear equation.

1) 5y - 45x = -25

A)

x-10 -5 5 10

y

10

5

-5

-10

x-10 -5 5 10

y

10

5

-5

-10

B)

x-10 -5 5 10

y

10

5

-5

-10

x-10 -5 5 10

y

10

5

-5

-10

C)

x-10 -5 5 10

y

10

5

-5

-10

x-10 -5 5 10

y

10

5

-5

-10

D)

x-10 -5 5 10

y

10

5

-5

-10

x-10 -5 5 10

y

10

5

-5

-10


2) y = x2 - 2

A) x-intercepts ( 2, 0) and (- 2, 0), y-intercept (0, 2)

B) x-intercepts ( 2, 0) and (- 2, 0), y-intercept (2, 0)

C) x-intercepts (0, 2) and (0, - 2), y-intercept (0, -2)

D) x-intercept (0, 2) , y-intercept (2, 0)


Use a graphing calculator to approximate all real solutions of the equation.

3) f(x) = x4 + 18x3 + 71x2 - 18x - 72

A) -6, -1, 1, 12 B) -12, -6, -1, 1 C) -1, 1, 6, 12 D) -12, -6, 1, 1

- 20 -


Solve the problem.

4) The graph shows the relationship between current I and resistance R if the voltage is fixed. Find the current if the

resistance is 2.4 Ω.

R1 2 3 4 5 6 7 8 9

I

4

3

2

1

R1 2 3 4 5 6 7 8 9

I

4

3

2

1

A) 0.83 A B) 0.25 A C) 1.79 A D) 2.40 A

Write an equation in slope-intercept form of a line satisfying the given conditions.

5) m = - 3

4; b = 8

A) y = - 3

4x + 8 B) y =

3

4x + 8 C) y =

3

4x - 8 D) y = -

3

4x - 8


6)

x

y

x

y


- 21 -


Choose one of the four graphs which most closely resembles the graph of the given equation.

7) y = 5x + 4

A)

x-6 -4 -2 2 4 6

y6

4

2

-2

-4

-6

x-6 -4 -2 2 4 6

y6

4

2

-2

-4

-6

B)

x-6 -4 -2 2 4 6

y6

4

2

-2

-4

-6

x-6 -4 -2 2 4 6

y6

4

2

-2

-4

-6

C)

x-6 -4 -2 2 4 6

y6

4

2

-2

-4

-6

x-6 -4 -2 2 4 6

y6

4

2

-2

-4

-6

D)

x-6 -4 -2 2 4 6

y6

4

2

-2

-4

-6

x-6 -4 -2 2 4 6

y6

4

2

-2

-4

-6

Write an equation in standard form for a line passing through the pair of points.

8) (9, 4) and (6, 2)

A) 2x + 3y = -6

B) -2x + 3y = -6

C) -5x - 4y = -22

D) 5x + 4y = -22


Convert the temperature.

9) 45°C = °F

A) 113.0°F B) 138.6°F C) 57.0°F D) 16.2°F

Solve the problem.

10) A biologist recorded 2 snakes on 30 acres in one area and 6 snakes on 45 acres in another area. Let y be the

number of snakes in x acres. Write an equation for the number of snakes.

A) y = x + 28 B) 15y = 4x + 90 C) 15y = 4x + 28 D) 15y = 4x - 90

- 22 -



11) Five students in a graduate program were randomly selected. The following data were obtained regarding their

GPA's on entering the program versus their current GPA's. Use linear regression to find a linear function that

predicts a student's current GPA as a function of the entering GPA.

Entering GPA Current GPA

3.5 3.6

3.6 3.8

3.6 3.7

3.8 4.0

3.9 3.8

A) y = 1.4630 + 0.6296x B) y = 0.6296 + 1.4630x

C) y = 0.7591 + 0.7727x D) y = 0.7727 + 0.7591x

12) Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly

selected to take both tests and the results are shown below. Use linear regression to find a linear function that

predicts a student's score on Test B as a function of his or her score on Test A.

Test A 48 52 58 44 43 43 40 51 59

Test B 73 67 73 59 58 56 58 64 74

A) y = -19.4 - 0.930x B) y = 19.4 + 0.930x C) y = 0.930 - 19.4x D) y = -0.930 + 19.4x


13) 28z - 32 > 4(6z - 5)

A) (-∞, 3)

33B) (3, ∞)

33C) (-∞, 28)

2828D) (28, ∞)

2828

Solve the problem.

14) A rectangular enclosure must have an area of at least 4200 yd2. If 260 yd of fencing is to be used, and the width

cannot exceed the length, within what limits must the width of the enclosure lie?

A) 60 ≤ w ≤ 65 B) 65 ≤ w ≤ 70 C) 60 ≤ w ≤ 70 D) 0 ≤ w ≤ 60

- 23 -


15) Jon has 609 points in his math class. He must have 65% of the 1100 points possible by the end of the term to

receive credit for the class. What is the minimum number of additional points he must earn by the end of the term

to receive credit for the class?

A) 715 points B) 396 points C) 106 points D) 491 points


16) b - 3 - 3 > 2

A) -2 2-2 2

B) -2 8-2 8

C) -2 2-2 2

D) -2 8-2 8


17) p2 - 8p + 12 > 0

A) (6, ∞)

66

B) (2, 6)

2 62 6

C) (-∞, 2)

22

D) (-∞, 2), (6, ∞)

2 62 6


18)4x

6 - x > x

A) (-∞, 2), (6, ∞) B) (0, 2), (6, ∞) C) (-∞, 0), (2, 6) D) (6, ∞)

Solve the problem.

19) The profit made when t units are sold, t > 0, is given by P = t2 - 30t + 221. Determine the number of units to be

sold in order for P < 0 (a loss is taken).

A) t > 0 B) t < 13 or t > 17 C) t = 13 or t = 17 D) 13 < t < 17

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20) A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an

initial velocity of 208 ft/sec, and the gorge is 672 ft deep, during what interval can the flare be seen?

(h = -16t2 + v0t + h0.)

A) 0 < t < 6 B) 12 < t < 13 C) 6 < t < 7 D) 18 < t < 19

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Answer Key

Testname: CHAPTER 2 FORM D

1) C

2) E

3) B

4) A

5) A

6) A

7) D

8) B

9) A

10) D

11) A

12) B

13) B

14) C

15) C

16) B

17) D

18) C

19) D

20) C

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chapter 2 form a - test bank and solution manual for your...

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