Free Printable Unit 2: Linear Relationships

1.

a)

A

b)

B

c)

C

d)

D

2.

a)

F

b)

G

c)

H

d)

J

3.

a)

a

b)

b

c)

c

d)

d

4.

a)

f

b)

g

c)

h

d)

j

5.

a)

a

b)

b

c)

c

d)

d

6.

a)

a

b)

b

c)

c

d)

d

7.

a)

f

b)

g

c)

h

d)

j

8.

a)

a

b)

b

c)

c

d)

d

9.

a)

a

b)

b

c)

c

d)

d

10.

a)

F

b)

G

c)

H

d)

J

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

F

b)

G

c)

H

d)

J

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

115

b)

-.6

c)

-115

d)

.6

15.

a)

F

b)

G

c)

H

d)

J

16.

a)

A

b)

B

c)

C

d)

D

17.

a)

F

b)

G

c)

H

d)

J

18.

Find the unit rate for this graph.

a)

40

b)

2

c)

20

d)

1

19.

How much money does Rico earn each hour of doing chores?

a)

2

b)

4

c)

6

d)

8

20.

Using the table and the graph, identify the y intercept.

a)

(0,2)

b)

(2,6)

c)

(4,10)

d)

(6,14)

21.

What is the y intercept of this graph?

a)

(6,2)

b)

(-2,0)

c)

(2,6)

d)

(0,3)

22.

Identify the y intercept of the BLUE line.

a)

-1

b)

1/2

c)

5

d)

2

23.

Which variable is used to represent the y intercept in an equation?

a)

y

b)

m

c)

x

d)

b

24.

What does the y intercept mean on this graph?

a)

It took the hiker 18 minutes to reach the bottom.

b)

It took the hiker 360 minutes to reach the bottom.

c)

The hiker started out at a height of 360 feet.

d)

The hiker started out at a height of 18 feet.

25.

Given y = mx+b, what does the y intercept mean in this scenario?

a)

Cost per mile

b)

Total miles driven

c)

Total cost

d)

Initial car rental fee

26.

Is the equation y=7x+5 proportional or non-proportional?

a)

proportional

b)

non-proportional

27.

Which equation is proportional?

a)

y=5x+1

b)

y=4x-3

c)

y=7x

d)

y=2x+7

28.

In order for a graph to be proportional it has to___?

a)

pass over the y-axis

b)

pass over the x-axis

c)

pass through the origin

29.

Joe has a square tablecloth with a total area of 48 square feet. Which measurement is closest to the length of each side of the tablecloth in feet?

a)

9.8 ft

b)

5.0 ft

c)

12.0 ft

d)

6.9 ft

30.

Which of the following is not a way to determine a proportional situation?

a)

b)

Goes through the origin. (0,0)

c)

Use STAT. b=0

d)

31.

Which best describes the graph?
y = 75x

a)

Proportional

b)

Nonproportional

32.

Which best describes this graph?
y= 3.75x + 2

a)

Proportional

b)

Non-proportional

33.

What is the y-intercept for the following graph and is it proportional or non-proportional?

a)

Proportional, b=1

b)

Proportional, b=-2

c)

Non-proportional, m= -1

d)

Non-proportional, b=1

34.

What is the y-intercept for the following graph and is it proportional or non-proportional?

a)

Proportional, b=0

b)

Proportional, m=0

c)

Non-proportional, b=1

d)

Non-proportional, b=0

35.

What is the y-intercept for the following table and is it proportional or non-proportional?

*Hint* Use STAT

a)

Proportional, y-intercept is 0

b)

Non-proportional, y-intercept is 0

c)

Proportional, slope is 0

d)

Non-proportional, slope is 0

36.

*Hint* Use STAT

a)

b)

c)

d)

37.

y/x. Then match the graph.

a)

b)

c)

d)

38.

y/x Match the graph

a)

b)

c)

d)

39.

y/x Then math the graph

a)

b)

c)

d)

40.

Match the graph

a)

b)

c)

d)

41.

a)

b)

c)

d)

42.

a)

b)

c)

d)

43.

Which could not be a proportional situtation?

a)

The number of gallons of water in x barrels with 42 gallons of water in each barrel

b)

The amount an employee who makes $8.50 per hou ears in h hours

c)

The weight in a x weeks of a puppy that gains 2 pounds oer week if its starting weight is 8 pounds

d)

The cost of purchasing p pounds of bananas for $0.55 per pound

44.

Which situation represents a proportional situation?

a)

The cost of purchasing a basket of oranges for $1.30 per pound plus $5.00 for the basket

b)

The cost of purchasing peaches for $7.00 per box pf peaches with a delivery charge of $3.00

c)

The cost of purchasing grapefruit for $1.80 per pound with a coupon for $1.00 off the total cost

d)

The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound

45.

Which linear function best describes the graph above?

a)

y=3/5x+4

b)

y=5/3x+4

c)

y=3/5x-6.5

d)

y=5/3x+6.5

46.

What is the y-intercept of this graph?

a)

(0, 4)

b)

(0,-2)

c)

(0,-4)

d)

(-4,0)

47.

What is the slope of the line in the graph?

a)

m=-2

b)

m=-1/2

c)

m=2

d)

m=-4

48.

The slope of the line in the graph is negative.

a)

True

b)

False

49.

What is the y-intercept of the graph?

a)

b=-2

b)

b=-1

c)

b=1

d)

b=-1/2

50.

What linear function best describes this graph?

a)

y=-1/2x+1

b)

y=1/2x-1

c)

y=-1/2x-1

d)

y=-2x+1

51.

What is the y-intercept of the graph?

a)

b=2

b)

b=8

c)

b=1/4

d)

b=-2

52.

What is the slope of the line of the graph?

a)

m=-1/4

b)

m=-2

c)

m=1/4

d)

m=8

53.

What is the equation of the function represented by the graph?

a)

y=1/4x-2

b)

y=-1/4x-2

c)

y=1/4x+2

d)

y=4x+8

54.

What is the equation of the line in the graph ?

a)

y=-1/2x+5

b)

y=1/2x+5

c)

y=1/2x-5

d)

y=-1/2x+10

55.

a)

$\frac{7}{6}miles\ per\ hour$

b)

$\frac{3}{4}miles\ per\ hour$

c)

$\frac{2}{8}miles\ per\ hour$

d)

$\frac{10}{5}miles\ per\ hour$

56.

The value of y varies directly with x. When y=75, x=1/2. What is the value of y when x is 2.25

a)

84

b)

337.5

c)

16.66

d)

168.75

57.

It takes Kendrick 20 minutes to travel 5 miles to school on his bike. Which correctly shows the relationship between the distance Kendrick travels and time?

a)

15 miles per minute

b)

4 miles per minute

c)

0.25 mile per minute

d)

1.25 miles per minute

58.

The cost of a pizza varies directly with the length of the diameter. If a pizza with a 12-inch diameter cost $8.64, how much should a pizza with a 16-inch diameter cost?

a)

103.68

b)

138.24

c)

11.52

d)

6.48

59.

What is k, the constant of variation?

a)

15

b)

40

c)

54

d)

35

60.

The number of inches a bungee cord stretches varies directly with the number of pounds it holds. One cord stretches 12 inches when a 30-pound object is attached to it. Which table best represents this relationship?

a)

b)

c)

d)

61.

The number of donuts produced by a machine is directly proportional to the time the machine runs. The machine produces 380 donuts in 20 minutes. How many donuts can the machine produce after running for 45 minutes?

a)

675 donuts

b)

855 donuts

c)

920 donuts

d)

not here

62.

k=

a)

$\frac{x}{y}$

b)

$\frac{y}{x}$

c)

y intercept

d)

origin

63.

When we compare quantities, we compare them as _____ over _____.

a)

x over y

b)

rate over one

c)

y over x

d)

y intercept

64.

Write an equation for this scenario. Bella watches tiktok videos 4.5 hours per day

a)

y=4.5x

b)

y=45

c)

y=45x

d)

y=x45-2

65.

a)

A

b)

B

c)

C

d)

D

66.

a)

160

b)

20

c)

45

d)

40

67.

a)

320

b)

40

c)

80

d)

8

68.

a)

26

b)

650

c)

13

d)

10

69.

a)

1320

b)

16

c)

990

d)

120

70.

a)

7

b)

2.5

c)

5

d)

16.75

71.

a)

200

b)

240

c)

60

d)

12

72.

a)

A

b)

B

c)

C

d)

D

73.

a)

F

b)

G

c)

H

d)

J

74.

In a direct variation, y=39 when x=3. Find the value of y when x=2.

a)

26

b)

3

c)

58.5

d)

2

75.

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

a)

$394

b)

$440

c)

$472.80

d)

$512.20

76.

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. Find the amount of pay for 31 hours of work.

a)

$3813

b)

$620

c)

$190.65

d)

$4.96

77.

The number of kilograms of water in a person’s body varies directly as the person’s mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person whose mass is 75 kg?

a)

50 kg water

b)

72 kg water

c)

94 kg water

d)

150 kg water

78.

On a treasure map, the actual distance is directly related to the scaled distance. If 15 miles is represented by 3 centimeters, then how many centimeters on the treasure map are equivalent to 135 miles?

a)

27 cm

b)

675 cm

c)

529 cm

d)

32 cm

79.

The interest received on a savings account varies directly with the amount deposited. Daniel received $55.35 in interest on $1230 he deposited. How much interest would Daniel have received if he had deposited $2000 into his account?

a)

34.04

b)

90.00

c)

1,285.35

d)

44,444.44

80.

a)

A

b)

B

c)

C

d)

D

81.

Is this an example of a proportional or non-proportional linear situation?

a)

Proportional

b)

Non-Proportional

82.

Which graph appears to show a proportional relationship between x and y?

a)

b)

c)

d)

83.

Which representation shows y as a function of x?

a)

A

b)

B

c)

c

d)

D

84.

Which graph does NOT represent y as a function of x?

a)

A

b)

B

c)

C

d)

D

85.

Which set of ordered pairs represents y as a function of x?

a)

A

b)

B

c)

C

d)

D

86.

Which set of ordered pairs represents y as a function of x?

a)

A

b)

B

c)

C

d)

D

87.

Which statement describes the mapping?

a)

The mapping represent y as a function of x, because each y-value corresponds to exactly one x-value.

b)

The mapping does not represent y as a function of x, because two of the x-values correspond to the same y-value.

c)

The mapping represent y as a function of x, because each x-value corresponds to exactly one y-value.

d)

The mapping does not represent y as a function of x, because there are more x-values than different corresponding y-values.

88.

Which graph represents y as a function of x?

a)

F

b)

G

c)

H

d)

J

89.

a)

A

b)

B

c)

C

d)

D

90.

Which representation does not show y as a function of x?

a)

A

b)

B

c)

C

d)

D

91.

Which set of ordered pairs is a function?

a)

b)

c)

d)

92.

Which mapping represents a function

a)

b)

c)

d)

93.

Which table of ordered pairs represents a function?

a)

b)

c)

d)

94.

Which of the following sets of ordered pairs does not represent a function?

a)

b)

c)

d)

95.

Look at the table.

Which number could fill the two empty cells to make the table a function

a)

0

b)

3

c)

-2

d)

5

96.

Which of the following sets of ordered pairs represents a function?

a)

b)

c)

d)

97.

Which of the following is a function?

a)

A

b)

B

c)

C

d)

D

98.

Which mapping represents a function?

a)

b)

c)

d)

99.

Which of the following is NOT a function?

a)

A

b)

B

c)

C

d)

D

100.

The table represents a function.

Which of the following numbers could fill the empty cell in the table and allow it to remain a function?

a)

-8

b)

-2

c)

-5

d)

8

101.

Look at the graph.

Which of the following is true for the graph?

a)

The graph is a function

b)

The graph is not a function

c)

The graph shows a proportional relationship

d)

None of the above

102.

A set of ordered pairs is shown in the picture.

Which value of x would make this relationship a function?

a)

4

b)

21

c)

7

d)

5

103.

Which graph does not represent y as a function of x?

a)

b)

c)

d)

104.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

105.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

106.

Which of these tables represent a function?

a)

A

b)

B

c)

C

d)

D

107.

Is this is a function or not a function?

a)

Function, because is passes the vertical line test.

b)

Not a Function, because the vertical line test touches more than one point.

c)

Not a Function, because the vertical line test is too small.

d)

Function, because it has a possible slope.

108.

A relation contains the points (1, 2), (2, −1), (3, 0), (4, 1), and (5, −1). Which statement accurately describes this relation?

a)

The relation does not represent a function because each value of x is associated with a single value of y.

b)

The relation represents a function because one value of y is associated with two values of x.

c)

The relation does not represent a function because each value of y is associated with two values of x.

d)

The relation represents a function because each value of x is associated with a single value of y.

109.

Which representation is not y as a function of x?

a)

b)

c)

d)

110.

a)

It is a function because each x has only one y.

b)

It's not a function because an x has multiple y's.

c)

It's not a function because a y has multiple x's.

d)

It is a function because each y has only one x.

111.

Which function represents y as a function of x?

a)

b)

c)

d)

112.

Which set of ordered pairs represents y as a function of x?

a)

(0, 0), (1,2), (1, 2), (2,4), (2, 4)

b)

(0, 0), (1, 1), (2, 4), (3, 9), (3, 16)

c)

(0, 0), (0, 1), (0, 2), (0, 1), (0, 2)

d)

(0, 0), (-1, -0.5), (-2, -1), (-3, -1.5), (-4, -2)

113.

Which representation shows y as a function of x?

a)

b)

c)

d)

114.

Determine if the following representation is a function.

a)

Function, because the outputs are all different

b)

Not a Function, because the x values repeat

115.

Which of the following is NOT a function?

a)

b)

c)

d)

116.

a)

A

b)

B

c)

C

d)

D

117.

a)

A

b)

B

c)

C

d)

D

118.

a)

A

b)

B

c)

C

d)

D

119.

a)

A

b)

B

c)

C

d)

D

120.

4 lines

121.

a)

A

b)

B

c)

C

d)

D

122.

a)

A

b)

B

c)

C

d)

D

123.

a)

A

b)

B

c)

C

d)

D

124.

a)

A

b)

B

c)

C

d)

D

125.

a)

A

b)

B

c)

C

d)

D

126.

a)

A

b)

B

c)

C

d)

D

127.

a)

A

b)

B

c)

C

d)

D

128.

John went to the fair. It cost him $5 to get in and $2 in tickets for each ride.

a)

Proportional

b)

Non-Proportional

129.

Mary went to six flags with a group of 7 friends. It cost them $35 per ticket.

a)

Proportional

b)

Non-Proportional

130.

A paint your own pottery studio charges $15 plus $8 per piece of pottery.

a)

Proportional

b)

Non-Proportional

131.

David is having his birthday party at a water park. The park charges $150 plus $10 per guest.

a)

Proportional

b)

Non-Proportional

132.

Bob goes to the gas station to get gas and the station charges $2.05 a gallon.

a)

Proportional

b)

Non-Proportional

133.

Sara has a 9 inch candle that burns at 1 in per hour.

a)

Proportional

b)

Non-Proportional

134.

Jaylon purchased tickets to a concert online. The tickets cost her $30 a piece and a $5 service fee.

a)

Proportional

b)

Non-Proportional

135.

A rock climber is at 120 feet and slowly descending at a rate of 15 feet per hour.

a)

Proportional

b)

Non-Proportional

136.

Hector decided to get a new phone plan. He choose the unlimited plan for $85.99 a month.

a)

Proportional

b)

Non-Proportional

137.

Which could not be a proportional situtation?

a)

The number of gallons of water in x barrels with 42 gallons of water in each barrel

b)

The amount an employee who makes $8.50 per hou ears in h hours

c)

The weight in a x weeks of a puppy that gains 2 pounds oer week if its starting weight is 8 pounds

d)

The cost of purchasing p pounds of bananas for $0.55 per pound

138.

Which situation represents a proportional situation?

a)

The cost of purchasing a basket of oranges for $1.30 per pound plus $5.00 for the basket

b)

The cost of purchasing peaches for $7.00 per box pf peaches with a delivery charge of $3.00

c)

The cost of purchasing grapefruit for $1.80 per pound with a coupon for $1.00 off the total cost

d)

The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound

139.

a)

b)

c)

d)

140.

a)

b)

c)

d)

141.

Match the graph

a)

b)

c)

d)

142.

y/x Match the graph

a)

b)

c)

d)

143.

What is the y-intercept for the following table and is it proportional or non-proportional?

*Hint* Use STAT

a)

Proportional, y-intercept is 0

b)

Non-proportional, y-intercept is 0

c)

Proportional, slope is 0

d)

Non-proportional, slope is 0

144.

Which situation could NOT represent a proportional relationship?

a)

The number of gallons of water in x barrels with 42 gallons of water in each barrel

b)

The amount an employee who makes $8.50 per hour earns in h hours

c)

The weight in x weeks of a puppy that gains 2 pounds per week if its starting weight is 8 pounds

d)

The cost of purchasing p pounds of bananas for $0.55 per pounds

145.

Which situation represents a proportional relationship?

a)

The cost of purchasing a basket of oranges for $1.30 per pound plus $5.00 for the basket

b)

The cost of purchasing peaches for $7.00 per box of peaches with a delivery charge of $3.00

c)

The cost of purchasing grapefruit for $1.80 per pound with a coupon for $1.00 off the total cost

d)

The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound

146.

A balloon is released from the top of a 75-foot building. The balloon rises at a rate of 2 feet per second. Which equation describes the height of the balloon, $h$ , after $s$ seconds?

a)

$h=75s$

b)

$h=2s$

c)

$h=2s+75$

d)

$h=75s+2$

147.

Look at the set of ordered pairs.

{(-8,3), (-6,2), (-4,1), (-2,0)}

Which of the following shows the correct equation for the function represented by the ordered pairs?

a)

$y=-0.5x-1$

b)

$y=-2x-1$

c)

$y=-\frac{1}{4}x+1$

d)

$y=-2x-2$

148.

An art studio charges $65 per month for art lessons. There is also an additional supply fee of $25 at the time of registration. Which equation best describes the total cost, c, given the number of months, m?

a)

$c=65m-25$

b)

$c=90m$

c)

$c=25m+65$

d)

$c=65m+25$

149.

A local theater group sells individual tickets to performances for $10 each. There are 25 season ticket holders who pay for the performances in advance. Which equation represents the amount of money, M, brought in during one month through the sale of individual tickets?

a)

$M=25t+10$

b)

$M=10t+25$

c)

$M=10t+250$

d)

$M=250t+10$

150.

What does "m" stand for in

y=mx+b

?

a)

"x"

b)

slope

c)

y-intercept

d)

mathematics

151.

What does "b" stand for in

y=mx+b

?

a)

"y"

b)

slope

c)

y-intercept

d)

because

152.

Ms. Burchett plants a 4-inch tomato plant in her garden. The tomato plant grows at a rate of 2 inches each week. Which equation can be used to determine h, the height of the tomato plant in inches after w weeks?

a)

$h=2w+4$

b)

$h=\frac{1}{2}w+4$

c)

$h=4w+2$

d)

$h=2w+\frac{1}{4}$

153.

What is the slope in the equation:

y=4x+3

?

a)

3

b)

4x

c)

4

d)

3x

154.

What is the y-intercept in the following equation:

y=4x-5

a)

-4

b)

4

c)

-5

d)

5

155.

Mrs. Crawford purchases turkey from the deli counter for $3.25 per pound. She also purchases a loaf of bread from the bakery for $4.50. Which equation can be used to represent the total cost, c, of Mrs. Crawford's purchase of bread and t pounds of turkey?

a)

$c=4.50t+3.25$

b)

$c=\left(4.50+3.25\right)t$

c)

$c=3.25t$

d)

$c=3.25t+4.50$

156.

Look at the set of ordered pairs.

{(0,3), (5,0)}

Which of the following shows the correct equation for the function represented by the ordered pairs?

a)

$y=-\frac{1}{2}x+3$

b)

$y=\frac{5}{3}x+5$

c)

$y=-\frac{3}{5}x+3$

d)

$y=-\frac{2}{3}x+5$

157.

Mrs. Cogar receives a coupon from Outdoor Experts and decided to purchase new chairs for her outdoor patio. The information below shows the cost for different numbers of chairs from Outdoor Experts.

(number of chairs, total cost $)

(3 , 312)

(4 , 441)

(5 , 570)

(6 , 699)

Which equation best shows the relationship between t, the total cost, and c, the number of chairs purchases?

a)

$t=129c-75$

b)

$t=104c-75$

c)

$t=129c+75$

d)

$t=116.5c+75$

158.

Mr. T makes and ships personalized baseball caps. The information below shows the relationship between the cost, y, and the number of baseball caps sold, x.

(number of caps , total cost $)

(1 , 31.50)

(2 , 58.00)

(3 , 84.50)

(4 , 110.00)

Which equation best represents the relationship?

a)

$y=26.50x$

b)

$y=26.50x+5$

c)

$y=31.50x$

d)

$y=5x+26.50$

159.

What is the equation of the line above?

a)

$y=\frac{1}{2}x-4$

b)

$y=-\frac{1}{2}x-4$

c)

$y=\frac{1}{2}x-8$

d)

$y=-\frac{1}{2}x-8$

160.

How do you find the equation of line that is given in a TABLE?

a)

guess

b)

ask your teacher

c)

use the STAT function in the calculator

d)

calculate it in your head

161.

a)

A/F

b)

B/G

c)

C/H

d)

D/J

162.

a)

A/F

b)

B/G

c)

C/H

d)

D/J

163.

a)

A/F

b)

B/G

c)

C/H

d)

D/J

164.

a)

A/F

b)

B/G

c)

C/H

d)

D/J

165.

a)

A/F

b)

B/G

c)

C/H

d)

D/J

166.

a)

A/F

b)

B/G

c)

C/H

d)

D/J

167.

a)

A/F

b)

B/G

c)

C/H

d)

D/J

168.

a)

A/F

b)

B/G

c)

C/H

d)

D/J

169.

a)

A/F

b)

B/G

c)

C/H

d)

D/J

170.

Write the slope intercept form of the equation of a line using the graph.

a)

A

b)

B

c)

C

d)

D

171.

Write the slope-intercept form of the equation of a line using the given graph.

a)

A

b)

B

c)

C

d)

D

172.

What is the equation?

a)

y = 3x + 2

b)

y = 2x - 3

c)

y = 1/2x - 3

d)

y = -2x + 3

173.

What is the function of the table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

174.

a)

A. y=-3x+8

b)

B. y=3x+8

c)

C. y=-3x-8

d)

D. y=3x-8

175.

How do you find slope from a graph?

a)

pick two points on the graph and create a list and spreadsheet from the points.

b)

look at where the line crosses the y axis.

c)

pick a point on the line and divide the y value divided by the x value.

d)

choose the answer choice that looks the most complicated

176.

Joseph's candy bars cost $1.25 each. Which function can be used to to find t, the total cost of c candy bars.

a)

t = $1.25c

b)

t = $1.25

c)

t = $1.25c + 0

d)

t = $1.25/10

177.

A coach is ordering trophies for a team.

The coach pays a one-time fee of $15. The coach also pays $4 for each trophy.

Which function can be used to find c, the total amount the coach pays in dollars when t trophies are ordered?

a)

c = 4t + 15

b)

c = 4t - 15

c)

c = 15t + 4

d)

c = 15t - 4

178.

Ashley is saving $18 that she earned for babysitting. She earns $7 every week for doing chores at home, which she also saves. Which function can be used to find t, the total amount of money Ashley will have saved at the end of w, weeks of doing chores?

a)

t = 7w + 18

b)

t = 18w + 7

c)

t = 25w

d)

t = 18w

179.

Carlos bought a video game. He made an initial payment of $75 to the store, and he will pay $5 each month until the game is paid off. Which equation represents the relationship between m, the number of monthly payments Carlos has made, and t, the total amount that Carlos has paid the store?

a)

t = 75m + 5

b)

t = 5m - 75

c)

t = 75m + 80

d)

t = 5m + 75

180.

A student is ordering candy bars for a team fundraiser.

The student pays a one-time fee of $8. The student also pays $2 for each candy bar.

Which function can be used to find t, the total amount the student pays in dollars when c, the number of candy bars are ordered?

a)

c = 8t + 2

b)

c = 8t - 2

c)

c = 2t + 8

d)

c = 2t - 8

181.

Jimena is saving $4 that she found outside. She earns $24 every week at her babysitting job on the weekends, which she also saves. Which function can be used to find t, the total amount of money Jimena will have saved at the end of w, weeks of doing chores?

a)

t = 28w

b)

t = 24w

c)

t = 24w + 4

d)

t = 4w + 24

182.

Hector bought the new iphone. He made an initial payment of $375 to the store, and he will pay $35 each month until the phone is paid off. Which equation represents the relationship between m, the number of monthly payments Hector has made, and t, the total amount that Hector has paid the store?

a)

t = 35m + 375

b)

t = 375m + 5

c)

t = 375m + 80

d)

t = -35m + 375

183.

Nicholas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design. Which equation can be used to find y, the total cost to buy x shirts?

a)

y = 22.5x - 9.5

b)

y = 9.5x - 22.5

c)

y = 22.5x + 9.5

d)

y = 9.5x + 22.5

184.

A fish is swimming at a constant rate toward the ocean floor. The equation y = 7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming. Which statement best describes the depth of the fish, given this equation?

a)

From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.

b)

From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.

c)

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

d)

From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.

185.

A pilot takes a taxi from the airport to a hotel. The taxi driver charges a $2.50 initial charge plus $2.65 per mile. Which equation can be used to find y, the total cost of the trip, if x represents the number of miles of the trip?

a)

y = 2.50x + 2.65

b)

y = 2.65(x + 2.50)

c)

y = 2.65x - 2.50

d)

y = 2.65x + 2.50

186.

A store sells new video games for $55 each. Used video games sell for $12 each. Jacob is buying 3 NEW video games and x used video games. Which equation can be used to find y, the total price Jacob must pay in dollars?

a)

y = 12x + 55

b)

y = 12x + 165

c)

y = 55x + 12

d)

y = 165x + 12

Unit 2: Linear Relationships

Total questions: 186

Worksheet time: 5hrs 45mins

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