Mathematics with applications 9th edition lial test bank

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)
y
10

5

-5

-10

5

10

x

-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)
8

y

6
4
2

-8

-6

-4

-2

2

4

6

-2
-4
-6
-8

17

8 x


B)
8

y

6
4

2

-8

-6

-4

-2

2

4

6

8 x

2

4

6

8 x

2

4

6

8 x

-2
-4
-6
-8

C)
8

y

6
4
2

-8

-6

-4

-2
-2
-4
-6
-8

D)
8

y

6
4
2

-8

-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

C) 1

D) -2

Find the slope of the line, if it is defined.
6) Through (1, -2) and (3, -4)
A) 2

B) -1

Identify whether the slope is positive, negative, zero, or undefined.
7)
y
10

5

-10

-5

5

10

x

-5

-10

A) Undefined

B) Negative

C) Zero

D) Positive

Find an equation of the the line satisfying the given conditions.
6
8) Through (0, 4); m =
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

19

C) -2x - 5y = -1

D) 5x - 2y = -1


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.
x2 4 5 6
12)
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

-8

-7

-6

-5

-4

-3

-2

-1

0

1

2

3

4

-8

-7

-6

-5

-4

-3

-2

-1

0

1

2

3

4

-8

-7

-6

-5

-4

-3

-2

-1

0

1

2

3

4

B) (-3, ∞)
-10 -9

C) [-3, ∞)
-10 -9

D) (-∞, -3)
-10 -9

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

20

D) 10 ≤ w ≤ 20

Graph the solution of the inequality.
15) ∣r - 2.5∣ < 3
A)

-8

-6

-4

-2

0

2

4

6

8

B)

-8

-6

-4

-2

0

2

4

6

8

C)

-8

-6

-4

-2

0

2

4

6

8

D)

-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

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.
2x
18)
6-x
A) (-∞, 4) or (6, ∞)

B) (0, 4) or (6, ∞)

C) (4, 6)

D) (6, ∞)

21

D) x + 9 < 3


19) p 2 + 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)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)

A
B
B

D
A
B
D
A
B
C
C
A
D
A
A
B
A
B
A
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)
y
10

5

-10

-5

5

10

x

-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)

B)
y

-10

y

10

10

5

5

-5

5

10

x

-10

-5

-5

-5

-10

-10

C)

5

10

x

5

10

x

D)
y

-10

y

10

10

5

5

-5

5

10

x

-10

-5

-5

-5

-10

-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

25

D) -10, -5, 5


Solve the problem.
5)
y
800
700
600
500
400
300
200
100
1990 1991 1992 1993 1994 1995 1996 1997 1998

x

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
5
A) m = - ; b = -5
2
C) m = -

2
; b = -24
5

B) m =

2
24
;b=
5
5

D) m =

5
24
;b=
2
5

Identify whether the slope is positive, negative, zero, or undefined.
7)
y
10

5

-10

-5

5

10

x

-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

26

C) Perpendicular


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

B) (-25, ∞)
-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

D) (-∞, -7)
-14 -13 -12 -11 -10 -9

-8

-7

-6

-5

27

-4

-3

-2

-1

0


Graph the solution of the inequality.
14) ∣6x + 7∣ ≤ 4
A)

-8

-6

-4

-2

0

2

4

6

8

B)

-8

-6

-4

-2

0

2

4

6

8

C)

-8

-6

-4

-2

0

2

4

6

8

D)

-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

C) x < -1

D) x - 7 < 8

Write the statement using absolute value.
16) x is less than 8 unit(s) from 7.
A) x - 7 > 8

B) x < 15

Solve the inequality and graph the solution.
17) t2 - 2t - 35 ≤ 0
A) (-∞, -5] or [7, ∞)

-5

7

-5

7

B) [-5, 7]

C) [7, ∞)

7
D) (-∞, -5]

-5

28


Solve the inequality.
18) (b + 5)(b + 2)(b - 7) < 0

19)

A) (-∞, -5) or (-2, 7)

B) (-∞, -2)

C) (7, ∞)

D) (-5, -2) or (7, ∞)

3x + 5
>0
5x2 + 4
A) -∞, -

3
5

B) -∞, -

5
3

C) 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

29

D) t > 0


Answer Key
Testname: CHAPTER 2 FORM B

1)
2)
3)
4)
5)

6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)

B
C
A
A
B
B
C
A
D
C
D
A
A
A

B
D
B
A
D
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)

B)
y

-10

y

10

10

5

5

-5

5

10

x

-10

-5

-5

-5

-10

-10

C)

5

10

x

5

10

x

D)
y

-10

y

10

10

5

5

-5

5

10

x

-10

-5

-5

-5

-10

-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)
5

y

4
3
2
1
-5

-4

-3

-2

-1

1

2

3

4

5 x

1

2

3

4

5 x

1

2

3

4

5 x

-1
-2
-3
-4
-5

B)
5

y

4
3
2
1
-5

-4

-3

-2

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

C)
5

y

4
3
2

1
-5

-4

-3

-2

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

32


D)
5

y

4
3
2
1
-5

-4

-3

-2

-1

1

2

3

4

5 x

-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

Find the slope and the y-intercept of the line.
6) 5x - 4y = 12
5
A) m = ; b = 12
4
C) m =

B) m = -5; b = 3

5
; b = -3
4

D) m = 0; b = 5

33

D) Month 3


Choose one of the four lines graphed which most closely resembles the graph of the given equation.
7) y = -4x + 5

A)

B)
8

-8

-6

-4

y

8

6

6

4

4

2

2

-2

2

4

8 x

6

-6

-8

-4

-2

-2

-2

-4

-4

-6

-6

-8

-8

C)

y

2

4

6

8 x

2

4

6

8 x

D)
8

-8

-6

-4

y

8

6

6

4

4

2

2

-2

2

4

8 x

6

-6

-8

-4

y

-2

-2

-2

-4

-4

-6

-6

-8

-8

Find the x- and y-intercepts for the equation. Then graph the equation.
8) 8y - 2x = -6
3
A) (0, - ), (-3, 0)
4

B) (0, -

3
), (3, 0)
4

y

-10

y

10

10

5

5

-5

5

10

x

-10

-5

5

-5

-5

-10

-10

34

10

x


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

-18 -17 -16 -15 -14 -13 -12 -11 -10 -9

-8

-7

-6

-5

-4

-8

-7

-6

-5

-4

-5

-4

-3

-2

-1

B) [-11, ∞)

C) (-∞, -11]
-18 -17 -16 -15 -14 -13 -12 -11 -10 -9

D) (-∞, -8)
-15 -14 -13 -12 -11 -10 -9

-8

-7

-6

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

B)

-8

-6

-4

-2

0

2

4

6

8

C)

-8

-6

-4

-2

0

2

4

6

8

D)

-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

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

-3

9

C) (-3, 9)

D) (-3, ∞)

-3

36

D) x - 1 ≤ 5


Solve the inequality.
18) p 3 - 36p ≤ 0

19)

A) (-∞, -6) or [0, 6]

B) (-∞, -6] or [0, 6]

C) (-∞, -6] or (0, 6)

D) (-∞, -6) or (0, 6)

-5x + 2
>0
5x2 + 4
A) -∞, 0

B) -∞,

2
5

C) -∞, -

5
2

D) -

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)
2)
3)
4)

5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)

B
B
D
C
D
C
D
B
D
D
B
C
C

A
C
D
B
B
B
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.
x2 y2
1)
+
= 1; (1, -1)
4
7
A) Yes

B) No

Graph the linear equation.
2) -9x = y - 3
A)

B)
y

-10

y

10

10

5

5

-5

5

10

x

-10

-5

-5

-5

-10

-10

C)

5

10

x

5

10

x

D)
y

-10

y

10

10

5

5

-5

5

10

x

-10

-5

-5

-5

-10

-10

39


Give the x-intercepts and y-intercepts of the graph.
3)
y

10

5

-5

-10

5

10

x

-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)
5

y

4
3
2
1
-5

-4

-3

-2

-1

1

2

3

4

-1
-2
-3
-4
-5

40

5 x


B)
5

y

4
3
2
1
-5

-4

-3

-2

-1

1

2

3

4

5 x

1

2

3

4

5 x

1

2

3

4

5 x

-1
-2
-3
-4
-5

C)
5

y

4
3
2
1
-5

-4

-3

-2

-1
-1

-2
-3
-4
-5

D)
5

y

4
3
2
1
-5

-4

-3

-2

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

41