chapter 2 form a - testbankcollege.eutestbankcollege.eu/sample/test-bank-finite-math...chapter 2...

30
CHAPTER 2 FORM A Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the given ordered pair is a solution of the given equation. 1) 3x + y = 12; (3, 3) A) Yes B) No Give the x-intercepts and y-intercepts of the graph. 2) x -10 -5 5 10 y 10 5 -5 -10 x -10 -5 5 10 y 10 5 -5 -10 A) x-intercept: -5; y-intercept: -7 B) x-intercept: 7; y-intercept: 5 C) x-intercept: -7; y-intercept: -5 D) x-intercept: 5; y-intercept: 7 Find the x-intercepts and y-intercepts of the graph of the equation. 3) -2x + y = 2 A) x-intercept: -4; y-intercept: -3 B) x-intercept: -1; y-intercept: 2 C) x-intercept: 2; y-intercept: -1 D) x-intercept: -3; y-intercept: -4 Use a graphing calculator to find the graph of the equation. 4) f(x) = (x - 4) 3 + 1 A) x -8 -6 -4 -2 2 4 6 8 y 8 6 4 2 -2 -4 -6 -8 x -8 -6 -4 -2 2 4 6 8 y 8 6 4 2 -2 -4 -6 -8 17

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CHAPTER 2 FORM A

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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

1) 3x + y = 12; (3, 3)

A) Yes B) No

Give the x-intercepts and y-intercepts of the graph.

2)

x-10 -5 5 10

y

10

5

-5

-10

x-10 -5 5 10

y

10

5

-5

-10

A) x-intercept: -5; y-intercept: -7 B) x-intercept: 7; y-intercept: 5

C) x-intercept: -7; y-intercept: -5 D) x-intercept: 5; y-intercept: 7

Find the x-intercepts and y-intercepts of the graph of the equation.

3) -2x + y = 2

A) x-intercept: -4; y-intercept: -3 B) x-intercept: -1; y-intercept: 2

C) x-intercept: 2; y-intercept: -1 D) x-intercept: -3; y-intercept: -4

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

4) f(x) = (x - 4)3 + 1

A)

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

17

B)

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

C)

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

D)

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

18

Solve the problem.

5) Big "D" Sales

1989-1990

Month

What were the total sales for the first 6 months of 1990?

A) $366,000 B) $302,000 C) $64,000 D) $286,000

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

6) Through (1, -2) and (3, -4)

A) 2 B) -1 C) 1 D) -2

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

7)

x-10 -5 5 10

y

10

5

-5

-10

x-10 -5 5 10

y

10

5

-5

-10

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

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

8) Through (0, 4); m = 6

7

A) -6x + 7y = 28 B) 7x - 6y = -28

C) -6x + 7y = -28 D) -6x - 7y = 28

9) Through (-5, 12); perpendicular to -2x + 5y = 50

A) 5x - 2y = 50 B) 5x + 2y = -1 C) -2x - 5y = -1 D) 5x - 2y = -1

19

Convert the temperature.

10) 55°F = °C

A) 67.0°C B) 131.0°C C) 12.8°C D) 1.4°C

Solve the problem.

11) Suppose the sales of a particular brand of appliance satisfy the relationship S(x) = 240x + 4200,

where S(x) represents the number of sales in year x, with x = 0 corresponding to 1982. Find the

number of sales in 1988.

A) 11,280 B) 5400 C) 5640 D) 11,040

Find the equation of the least squares line. Round values to the nearest hundredth, if necessary.

12)x 2 4 5 6

y 7 11 13 20

A) y' = 3x B) y' = 2.8x + .15

C) y' = 3x + .15 D) y' = 2.8x

Solve and graph the inequality and graph the solution.

13) a + 7 < 4

A) (-∞, -3]

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4

B) (-3, ∞)

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4

C) [-3, ∞)

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4

D) (-∞, -3)

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4

Solve the problem.

14) A rectangular enclosure must have an area of at least 200 yd2. If 60 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) 10 ≤ w ≤ 15 B) 0 ≤ w ≤ 10 C) 15 ≤ w ≤ 20 D) 10 ≤ w ≤ 20

20

Graph the solution of the inequality.

15) ∣r - 2.5∣ < 3

A) -8 -6 -4 -2 0 2 4 6 8-8 -6 -4 -2 0 2 4 6 8

B) -8 -6 -4 -2 0 2 4 6 8-8 -6 -4 -2 0 2 4 6 8

C) -8 -6 -4 -2 0 2 4 6 8-8 -6 -4 -2 0 2 4 6 8

D) -8 -6 -4 -2 0 2 4 6 8-8 -6 -4 -2 0 2 4 6 8

Write the statement using absolute value.

16) x is more than 3 units from -9.

A) x > -6 B) x + 9 > 3 C) x > -12 D) x + 9 < 3

Solve the inequality and graph the solution.

17) v2 - 8v + 12 ≥ 0

A) (-∞, 2] or [6, ∞)

2 6

B) [6, ∞)

6

C) (-∞, 2]

2

D) [2, 6]

2 6

Solve the inequality.

18)2x

6 - x < x

A) (-∞, 4) or (6, ∞) B) (0, 4) or (6, ∞)

C) (4, 6) D) (6, ∞)

21

19) p2 + 2p - 15 > 0

A) (-∞, -5) or (3, ∞) B) (3, ∞)

C) (-5, 3) D) (-∞, -5)

Solve the problem.

20) The profit made when t units are sold, t > 0, is given by P = t2 - 36t + 323. Determine the

number of units to be sold in order for P = 0 (the break- even point).

A) t = -19 or t = -17 B) t > 19

C) t = 36 D) t = 19 or t = 17

22

Answer Key

Testname: CHAPTER 2 FORM A

1) A

2) B

3) B

4) D

5) A

6) B

7) D

8) A

9) B

10) C

11) C

12) A

13) D

14) A

15) A

16) B

17) A

18) B

19) A

20) D

23

CHAPTER 2 FORM B

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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

1) 5x + 4y - 40 = 0; (4, 5)

A) No B) Yes

Give the x-intercepts and y-intercepts of the graph.

2)

x-10 -5 5 10

y

10

5

-5

-10

x-10 -5 5 10

y

10

5

-5

-10

A) x-intercept: 1; y-intercepts: -1, 1 B) x-intercept: -1; y-intercepts: 1

C) x-intercepts: -1, 1; y-intercept: -1 D) x-intercept: 1; y-intercepts: -1

24

Sketch the graph of the equation.

3) y = x2 + 2

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

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

4) f(x) = x3 - 75x - 250

A) -5, -5, 10 B) 5, -5, 10 C) -5, 5, 10 D) -10, -5, 5

25

Solve the problem.

5)

x1990 1991 1992 1993 1994 1995 1996 1997 1998

y

800

700

600

500

400

300

200

100

x1990 1991 1992 1993 1994 1995 1996 1997 1998

y

800

700

600

500

400

300

200

100

Crafty Bill's Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number

of cars sold as a function of time. What is the approximate number of cars sold in 1995?

A) 700 B) 750 C) 350 D) 600

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

6) -5y = -2x - 24

A) m = - 5

2; b = -5 B) m =

2

5; b =

24

5

C) m = - 2

5; b = -24 D) m =

5

2; b =

24

5

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

7)

x-10 -5 5 10

y

10

5

-5

-10

x-10 -5 5 10

y

10

5

-5

-10

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

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) Neither C) Perpendicular

26

Solve the problem.

9) The rate of return of certain investments increases as the risk factor of the investment increases.

An investment with a risk factor of 2 has a rate of return of 5.0%. An investment with a risk

factor of 19 has a rate of return of 13.0%. What is the average rate of return per unit of risk?

A) 1.27% per unit risk B) 0.79% per unit risk

C) 2.12% per unit risk D) 0.47% per unit risk

10) On a summer day, the surface water of a lake is at a temperature of 25° Celsius. What is this

temperature in Fahrenheit?

A) 25° B) 57° C) 77° D) 45°

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

Suppose that sales were $5500 in 1982 and $56,000 in 1987. Let x = 0 represent 1982. Find the

equation giving yearly sales S(x).

A) S(x) = 50,500x + 5500 B) S(x) = 50,500x + 56,000

C) S(x) = 10,100x + 56,000 D) S(x) = 10,100x + 5500

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. By using linear regression, the following function is obtained:

y = 67.3 + 1.07x where x is number of hours studied and y is score on the test. Use this

function to predict the score on the test of a student who studies 7 hours.

Hours 5 10 4 6 10 9

Score 64 86 69 86 59 87

A) 74.8 B) 79.8 C) 69.8 D) 77.8

Solve and graph the inequality and graph the solution.

13) 5x - 9 > 4x - 16

A) (-7, ∞)

-14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0-14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0

B) (-25, ∞)

-32 -31 -30 -29 -28 -27 -26 -25 -24 -23 -22 -21 -20 -19 -18-32 -31 -30 -29 -28 -27 -26 -25 -24 -23 -22 -21 -20 -19 -18

C) (-∞, -25)

-32 -31 -30 -29 -28 -27 -26 -25 -24 -23 -22 -21 -20 -19 -18-32 -31 -30 -29 -28 -27 -26 -25 -24 -23 -22 -21 -20 -19 -18

D) (-∞, -7)

-14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0-14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0

27

Graph the solution of the inequality.

14) ∣6x + 7∣ ≤ 4

A) -8 -6 -4 -2 0 2 4 6 8-8 -6 -4 -2 0 2 4 6 8

B) -8 -6 -4 -2 0 2 4 6 8-8 -6 -4 -2 0 2 4 6 8

C) -8 -6 -4 -2 0 2 4 6 8-8 -6 -4 -2 0 2 4 6 8

D) -8 -6 -4 -2 0 2 4 6 8-8 -6 -4 -2 0 2 4 6 8

Solve the inequality.

15) Company A rents copiers for a monthly charge of $200 plus 8 cents per copy. Company B rents

copiers for a monthly charge of $400 plus 4 cents per copy. What is the number of copies

above which Company A's charges are the higher of the two?

A) 10,000 copies B) 5000 copies C) 5100 copies D) 2500 copies

Write the statement using absolute value.

16) x is less than 8 unit(s) from 7.

A) x - 7 > 8 B) x < 15 C) x < -1 D) x - 7 < 8

Solve the inequality and graph the solution.

17) t2 - 2t - 35 ≤ 0

A) (-∞, -5] or [7, ∞)

-5 7

B) [-5, 7]

-5 7

C) [7, ∞)

7

D) (-∞, -5]

-5

28

Solve the inequality.

18) (b + 5)(b + 2)(b - 7) < 0

A) (-∞, -5) or (-2, 7) B) (-∞, -2)

C) (7, ∞) D) (-5, -2) or (7, ∞)

19)3x + 5

5x2 + 4 > 0

A) -∞, - 3

5B) -∞, -

5

3C) 0, ∞ D) -

5

3, ∞

Solve the problem.

20) The cost of producing t units is C = 4t2 + 7t, and the revenue generated from sales is

R = 5t2 + t. Determine the number of units to be sold in order to generate a profit.

A) t > 7 B) t > 8 C) t > 6 D) t > 0

29

Answer Key

Testname: CHAPTER 2 FORM B

1) B

2) C

3) A

4) A

5) B

6) B

7) C

8) A

9) D

10) C

11) D

12) A

13) A

14) A

15) B

16) D

17) B

18) A

19) D

20) C

30

CHAPTER 2 FORM C

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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

1) 2x - 4y = 16; (4, 2)

A) Yes B) No

Graph the linear equation.

2) 2y + 12x = -6

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

Find the x-intercepts and y-intercepts of the graph of the equation.

3) -2x + 3y = 6

A) x-intercept: -2; y-intercept: -4 B) x-intercept: -4; y-intercept: -2

C) x-intercept: 2; y-intercept: -3 D) x-intercept: -3; y-intercept: 2

31

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

4) y = x3 - 3x + 2

A)

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

B)

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

C)

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

32

D)

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

Solve the problem.

5) Big "D" Sales

1989-1990

Month

Which month in 1989 had the lowest sales?

A) Month 6 B) Month 2 C) Month 8 D) Month 3

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

6) 5x - 4y = 12

A) m = 5

4; b = 12 B) m = -5; b = 3

C) m = 5

4; b = -3 D) m = 0; b = 5

33

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

7) y = -4x + 5

A)

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

B)

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

C)

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

D)

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

x-8 -6 -4 -2 2 4 6 8

y8

6

4

2

-2

-4

-6

-8

Find the x- and y-intercepts for the equation. Then graph the equation.

8) 8y - 2x = -6

A) (0, - 3

4), (-3, 0)

x-10 -5 5 10

y

10

5

-5

-10

x-10 -5 5 10

y

10

5

-5

-10

B) (0, - 3

4), (3, 0)

x-10 -5 5 10

y

10

5

-5

-10

x-10 -5 5 10

y

10

5

-5

-10

34

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

9) (-2, -6) and (5, -8)

A) -4x - 13y = -124 B) 2x - 7y = 46

C) 4x + 13y = -124 D) -2x - 7y = 46

Convert the temperature.

10) 193°C = °F

A) 405.0°F B) 139.2°F C) 201.2°F D) 379.4°F

Compute r, the coefficient of correlation.

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

follows:

Hours 4 10 5 5 3 3

Score 54 99 56 99 70 72

A) -.2241 B) .6039 C) -.6781 D) .2015

Solve the problem using your calculator.

12) The paired data below consist of the costs of advertising (in thousands of dollars) and the

number of products sold (in thousands). Use linear regression to find a linear function that

predicts the number of products sold as a function of the cost of advertising.

Cost 9 2 3 4 2 5 9 10

Number 85 52 55 68 67 86 83 73

A) y = 26.4 + 1.42x B) y = -26.4 - 1.42x

C) y = 55.8 + 2.79x D) y = 55.8 - 2.79x

Solve and graph the inequality and graph the solution.

13) -8z + 6 ≤ -9z - 5

A) (-8, ∞)

-15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1-15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1

B) [-11, ∞)

-18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4-18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4

C) (-∞, -11]

-18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4-18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4

D) (-∞, -8)

-15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1-15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1

35

Solve the problem.

14) 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 $9, and if he wishes to make a profit of at least $360 per month on

sales of this game, how many games must he sell each month?

A) 30 ≤ n ≤ 40 B) 30 ≤ n ≤ 70 C) 20 ≤ n ≤ 30 D) 20 ≤ n ≤ 35

Graph the solution of the inequality.

15) ∣8x - 4∣ ≥ 3

A) -8 -6 -4 -2 0 2 4 6 8-8 -6 -4 -2 0 2 4 6 8

B) -8 -6 -4 -2 0 2 4 6 8-8 -6 -4 -2 0 2 4 6 8

C) -8 -6 -4 -2 0 2 4 6 8-8 -6 -4 -2 0 2 4 6 8

D) -8 -6 -4 -2 0 2 4 6 8-8 -6 -4 -2 0 2 4 6 8

Write the statement using absolute value.

16) x is within 5 units of 1.

A) x - 1 ≥ 5 B) x - 1 < 5 C) x - 1 > 5 D) x - 1 ≤ 5

Solve the inequality and graph the solution.

17) (x - 9)(x + 3) > 0

A) (-∞, -9) or (3, ∞)

-9 3

B) (-∞, -3) or (9, ∞)

-3 9

C) (-3, 9)

-3 9

D) (-3, ∞)

-3

36

Solve the inequality.

18) p3 - 36p ≤ 0

A) (-∞, -6) or [0, 6] B) (-∞, -6] or [0, 6]

C) (-∞, -6] or (0, 6) D) (-∞, -6) or (0, 6)

19)-5x + 2

5x2 + 4 > 0

A) -∞, 0 B) -∞, 2

5C) -∞, -

5

2D) -

2

5, ∞

Solve the problem.

20) The profit made when t units are sold, t > 0, is given by P = t2 - 30t + 209. Determine the

number of units to be sold in order for P < 0 (a loss is taken).

A) t = 11 or t = 19 B) t < 11 or t > 19

C) t > 0 D) 11 < t < 19

37

Answer Key

Testname: CHAPTER 2 FORM C

1) B

2) B

3) D

4) C

5) D

6) C

7) D

8) B

9) D

10) D

11) B

12) C

13) C

14) A

15) C

16) D

17) B

18) B

19) B

20) D

38

CHAPTER 2 FORM D

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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

1)x2

4 +

y2

7 = 1; (1, -1)

A) Yes B) No

Graph the linear equation.

2) -9x = y - 3

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

39

Give the x-intercepts and y-intercepts of the graph.

3)

x-10 -5 5 10

y

10

5

-5

-10

x-10 -5 5 10

y

10

5

-5

-10

A) x-intercept: 1 B) x-intercept: -1

C) y-intercept: -1 D) y-intercept: 1

Find the x-intercepts and y-intercepts of the graph of the equation.

4) y = x2 + 8

A) y-intercept (0, 8), x-intercept (8, 0) B) y-intercept (8, 0), no x-intercepts

C) x-intercept (8, 0), no y-intercepts D) y-intercept (0, 8), no x-intercepts

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

5) y = x4 + x3 - 5x2 - 4x + 4

A)

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

40

B)

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

C)

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

D)

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

41

Solve the problem.

6) 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 3.9 s?

t1 2 3 4 5

h600

500

400

300

200

100

t1 2 3 4 5

h600

500

400

300

200

100

A) 550 ft B) 400 ft C) 450 ft D) 500 ft

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

7) Slope - 2

3; y-intercept

9

3

A) y = 2

3x -

9

3B) y = -

2

3x -

9

3C) y = -

2

3x +

9

3D) y =

2

3x +

9

3

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

8)

x-10 -5 5 10

y

10

5

-5

-10

x-10 -5 5 10

y

10

5

-5

-10

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

42

Find the x- and y-intercepts for the equation. Then graph the equation.

9) 5x - 15y = 30

A) (0, -2), (-6, 0)

x-10 -5 5 10

y

10

5

-5

-10

x-10 -5 5 10

y

10

5

-5

-10

B) (0, -2), (6, 0)

x-10 -5 5 10

y

10

5

-5

-10

x-10 -5 5 10

y

10

5

-5

-10

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

10) Through (0, 5); m = - 6

7

A) 6x + 7y = -35 B) 7x + 6y = -35 C) 6x + 7y = 35 D) 6x - 7y = 35

11) Through (-3, -12); parallel to -6x - 7y = 53

A) -7x - 6y = -12 B) -6x - 7y = 102

C) -6x + 7y = 102 D) -3x - 7y = 53

Solve the problem.

12) The outdoor temperature rises by 6° Fahrenheit. What is this temperature in Celsius?

A) 6° B) 3.3° C) -26° D) -14.4°

13) A biologist recorded 2 snakes on 14 acres in one area and 9 snakes on 31 acres in another area.

Let y be the number of snakes in x acres. Write an equation for the number of snakes. Assume

the relationship between the number of snakes and the number of acres is linear (that is, the

equation you produce will be linear).

A) y = x + 12 B) 17y = 7x + 64

C) 17y = 7x - 64 D) 17y = 7x + 12

Find the equation of the least squares line. Round values to the nearest hundredth, if necessary.

14)x 12 14 16 18 20

y 54 53 55 54 56

A) y' = .25x + 50.4 B) y' = 3x + 50

C) y' = 54 D) y' = 55.3

43

Solve the problem.

15) The equation y = 0.003x + 0.20 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 $275?

A) 0 ≤ x ≤ 91,733.33 B) 0 ≤ x ≤ 91,600

C) x > 91,600 D) x > 91,733.33

Solve the inequality.

16) Fantastic Flags, Inc., finds that the cost to make x flags is C = 9x + 14,542, while the revenue

produced from them is R = 41x (C and R are in dollars). What is the smallest whole number of

flags, x, that must be sold for the company to show a profit?

A) 455 B) 465,344 C) 727,100 D) 291

Write the statement using absolute value.

17) s is at least 4 units from 5.

A) s - 5 > 4 B) s - 5 < 4 C) s - 5 ≤ 4 D) s - 5 ≥ 4

Solve the inequality and graph the solution.

18) x2 + 5x ≤ -4

A) (-∞, 1] or [4, ∞)

1 4

B) [-4, -1]

-4 -1

C) [1, 4]

1 4

D) (1, 4)

1 4

Solve the inequality.

19)x2 - 10x + 9

x - 5 > 0

A) (-∞, -9) or (-1, 5) B) (-∞, 5) or (-9, ∞)

C) (1, 5) or (9, ∞) D) (-9, 5)

44

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 + 107.8t. During what interval of time will the rocket be higher than 274.4 m?

A) 0 < t < 4 B) 4 < t < 7 C) 8 < t < 11 D) 7 < t < 8

45

Answer Key

Testname: CHAPTER 2 FORM D

1) B

2) B

3) D

4) D

5) C

6) D

7) C

8) A

9) B

10) C

11) B

12) D

13) C

14) A

15) B

16) A

17) D

18) B

19) C

20) B

46