Free Printable End of Year - Mixed Review 8th Grade Math

1.

Aniya and Angel are tracking the distance walked in miles, x, and the amount of time taken in minutes, y.

Which choice describes the linear association between the distance walked and the amount of time it takes?

a)

positive and strong

b)

positive and weak

c)

negative and strong

d)

negative and weak

2.

Thomas and Adrian are purchasing school supplies.

The cost of 1 notebook equals $10 minus the cost of 2 packs of pencils.

The cost of 1 notebook equals $7 minus 1/3 the cost of a pack of pencils.

What is the total cost of 1 notebook and 1 pack of pencils?

a)

$ 7.00

b)

$8.20

c)

$ 10.80

d)

$ 12.40

3.

Luis and Adrian are purchasing school supplies.

The cost of 1 notebook equals $12 minus the cost of 4 packs of pencils.

The cost of 1 notebook equals $6 minus 2/3 the cost of a pack of pencils.

What is the total cost of 1 notebook and 2 pack of pencils?

a)

$ 6.60

b)

$8.20

c)

$ 10.80

d)

$ 8.40

4.

Alejandro is tracking the growth of a plant over several weeks. The table below shows the height of the plant (y) in centimeters for each week (x). Which equation BEST models the relationship between the week number and the plant's height?

a)

y = x

b)

y = x + 2

c)

y = (1/2)x + 3

d)

y = (1/2)x + 4

5.

Elena and Marcus are mapping out hiking trails.

Elena’s trail passes through checkpoints located at coordinates (3, 10) and (9, 28).
Marcus’s trail passes through checkpoints located at coordinates (3, 18) and (7, 34).

At what point do their trails intersect?

a)

(0, -14)

b)

(-5, -14)

c)

(-3,-10)

d)

(-7,-18)

6.

Elena and Marcus are mapping out hiking trails.

Elena’s trail passes through checkpoints located at coordinates (4, 12) and (10, 30).
Marcus’s trail passes through checkpoints located at coordinates (4, 20) and (8, 36).

At what point do their trails intersect?

a)

(0, -14)

b)

(-8, -14)

c)

(-3,-20)

d)

(-4,-12)

7.

Ava is tracking the water level in a tank as it fills. The water level (in milliliters) can be modeled by the equation:

y = 300 + 3.2x

where x represents the number of minutes after the water starts flowing into the tank.

Which statement is true?

a)

The water level increases by 16 mL every 5 minutes.

b)

The water level increases by 5 mL every 16 minutes.

c)

The water level increases by 300 mL every 3.2 minutes.

d)

The water increases by 3.2 mL every 300 minutes

8.

Millie is tracking the water level in a tank as it fills. The water level (in milliliters) can be modeled by the equation:

y = 250 + 3.2x

where x represents the number of minutes after the water starts flowing into the tank.

Which statement is true?

a)

The water level started at 3.2 mL

b)

The water level decreases by 5 mL every 16 minutes.

c)

The water level started at 250 mL

d)

The water increases by 3.2 mL every 250 minutes

9.

Daniel and Julian are studying the decay of carbon-14 in their science class. The table shows the percent of carbon-14 remaining after a given number of half-lives. What type of association exists between the number of half-lives and the percent of carbon-14 remaining?

a)

negative and nonlinear

b)

positive and nonlinear

c)

negative linear

d)

positive linear

10.

Which equation has a rate of change that is 15 units more than the function and a y-intercept located 10 units below the function?

a)

y= 185x + 485

b)

y = 200x + 475

c)

y = 200x + 465

d)

y = 185x + 465

11.

Julian is tracking the number of books he reads each month and the total number of pages he has read. This shows a scatterplot of his data.

Which equation best fits the data?

a)

y = 22 - 4x

b)

y = 18 - 3x

c)

y = 16 - 2x

d)

y = 20 - x

12.

Bailey has a certain number of apples, y, which is equal to 40 minus the number of apples Luis has, x. The number of apples Bailey has is also equal to the number of apples Luis has minus 10. What is the number of apples Bailey has?

a)

25

b)

15

c)

30

d)

20

13.

The scatterplot shows the asking price for 10 used compact cars and how many years after 2000 each car was manufactured.

Julian believes y = 2700 + 215x models the data well. What is the meaning of the y-intercept?

a)

The asking price increases by $2700 for each year

b)

The asking price increases by $215 each year

c)

The asking price of a compact car manufactured in 2000 is $2700

d)

The asking price of a compact car manufactured in 2000 is $215

14.

Which set of data would the line $y=-2x-5$ fit the best?

a)

b)

c)

d)

15.

Jennifer, an agriculturist, determined that y = 0.79x - 51.1 is a good model for the data. How many flowers does the model predict that a bush will produce if the average daily temperature for the bush's flowering season is 90ºF?

a)

20

b)

21

c)

22

d)

19

16.

Bailey is tracking the growth of a plant over several weeks. The data collected is shown in the graph. Which equation best fits the data?

a)

y = 10 + (1/4)x

b)

y = 10 - (1/4)x

c)

y = 8 + (2/3)x

d)

y = 8 - (2/3)x

17.

This shows a system of equations.

y = 2x + 1

y = 4 - x

What is the x-value in the solution to the system?

18.

Luis is tracking the growth of a plant over several weeks. He records the height of the plant each week and plots the data on a graph. Which equation best fits the data?

a)

y = 3x + (1/3)

b)

y = (1/3)x + 3

c)

y = 3x + (3/4)

d)

y = (4/3)x + 3

19.

Reese bought a new car, and the equation y = 34150 - 6700x can be used to predict the value of the car, in dollars, x years after its purchase. What is the meaning of the y-intercept of the linear model?

a)

The initial value of the car was $34,150

b)

The initial value of the car was $27,450

c)

The value of the car is decreasing by $6,700 each year

d)

The value of the car is increasing by $6,700 each year

20.

Jayden and Zyquan both work for the same lawn-mowing service. The equation y = 20x gives the relationship between the amount Jayden earns, y, by mowing for x hours. The table shows the amount Zyquan earns working different hours.

How much more does Jayden earn per hour, in dollars, than Sam?

21.

Reese, the owner of the company, believes that the function y = 61500x + 11450 models the data well, where x is years of experience and y is salary. What is the meaning of the slope of the linear model?

a)

the predicted average increase in employee salary for each additional year of experience

b)

The average salary of an employee with 0 yrs experience

c)

The minimum change in salary for each additional year of experience

d)

The minimum salary of employees at the company

22.

This shows a system of equations.

y = -2x + 6

y = (-1/2)x - 3

What is the value of x in the solution?

23.

Which table represents a linear function with a rate of change less than the rate of change of y = 4x + 7

a)

b)

c)

d)

24.

Which scatterplot has a data point (4, -1) that is an outlier?

a)

b)

c)

d)

25.

Two plumbing companies charge and initial fee plus an hourly rate. Company 1 charges $36 per hour plus an initial fee of $54. This table shows the total cost Company 2 charges based on the number of hours of service.

How many dollars more is the initial fee for company 2 than the initial fee for company 1?

26.

Enyel and Maritza are analyzing the relationship between the number of x and y values in the scatterplot shown. What type of association does the scatterplot show?

a)

positive, linear

b)

positive, nonlinear

c)

negative, linear

d)

negative, nonlinear

27.

Place the descriptions of lines that have the same slope and y-intercept as $y=\frac{3}{4}x+2$ into the appropriate boxes.

Same y-intercept (a)

Same slope: (b)

Choose from the below words

line passing through (-4,0) and (4, 4)

line passing through (4, 0) and (8, 3)

line passing through (2, 6) and (4, 10)

28.

This table shows how much time 7 students spent studying for an English test and their scores on the test.

Select an option from the list to identify the outlier and the association between the amount of time and the score.

Outlier - (a)

Association - (b)

Choose from the below words

30 minutes, score of 95

20 minutes, score of 77

50 minutes, score of 89

55 minutes, score of 90

positive, linear

negative linear

negative nonlinear

positive nonlinear

29.

What is the measure, in degrees of angle x in the diagram shown?

Numeric answer only

(a)

30.

To the nearest foot, what is the greatest possible perimeter for a right, isosceles triangle if at least one side of the triangle is 5 feet long

(a)

31.

WHICH TABLE REPRESENT A FUNCTION?

a)

1

b)

2

c)

3

d)

4

32.

Which table represents a linear function?

a)

b)

c)

d)

33.

Determine if the graph is linear or nonlinear. Increasing,decreasing, both or neither?

a)

Linear; increasing

b)

Nonlinear; increasing

c)

Linear; both increasing and decreasing

d)

Nonlinear; both increasing and decreasing

34.

What is the measure, in degrees of angle x in the diagram shown?

Numeric answer only

(a)

35.

To the nearest foot, what is the greatest possible perimeter for a right, isosceles triangle if at least one side of the triangle is 5 feet long

(a)

36.

a)

5.0 cm

b)

10.2 cm

c)

15.3 cm

d)

21.0 cm

37.

a)

The initial value of the car is $14,000.

b)

The average value of the car is $14,000

c)

The car’s value decreases by $875 each year after it was purchased.

d)

The car’s value decreases by $16 each year after it was purchased.

38.

Alexis has a cylindrical trash can with a diameter of 24 cm and a height of 42 cm. What is the approximate volume of the can?

a)

$1,008\ cm^3$

b)

$3,167\ cm^3$

c)

$19,000\ cm^3$

d)

$76,000\ cm^3$

39.

a)

$y=3x+10$

b)

$y=3x+60$

c)

$y=4x+5$

d)

$y=4x+35$

40.

In which choice is y a function of x?

a)

(1, 3), (3, 4), (4, 5), (5, 6)

b)

(2, 0), (2, 3), (4, 5), (6, 7)

c)

(2, 5), (4, 8), (6, 10), (2, 12)

d)

(6, 2), (4, 1), (6, 8), (8, 10)

41.

a)

b)

c)

d)

42.

a)

10.0 units

b)

9.5 units

c)

9.0 units

d)

8.5 units

43.

(a)

44.

a)

Day 4 to Day 6

b)

Day 6 to Day 8

c)

Day 8 to Day 10

d)

Day 10 to Day 12

45.

a)

-22

b)

-5

c)

5

d)

22

46.

a)

$\frac{3}{400}$

b)

$\frac{3}{100}$

c)

$\frac{3}{25}$

d)

3

47.

Kyle bought 1 jump rope and 5 boxes of sidewalk chalk for $19.25. Rhea bought 2 jump ropes and 3 boxes of sidewalk chalk for $14. The equations below represent Kyle's and Rhea's purchases.

jump rope = (a)

chalk = (b)

Choose from the below words

$1.75

$3.50

$1.25

$4.00

48.

a)

Function

b)

Not a Function

49.

Does this mapping represent a function?

a)

Yes

b)

No

50.

The diameter of a bush is $7.62\times10^{-2}$ meters. The diameter of a tree trunk is $3.81\times10^{-1}$ meters. How many times larger is the diameter of tree trunk? (a)

Choose from the below words

2 times larger

3 times larger

4 times larger

5 times larger

51.

The diameter of each tire model car is 10.668 mm. The actual diameter of the tire $5.29\times10^2$ mm. About how many times larger is the actual tire? (a)

Choose from the below words

5 times

50 times

100 times

500 times

52.

An elephant weighs $8.8\times10^3$ kg. A small dog weighs 4 kg. How many times heavier is the elephant than the dog? (a)

Choose from the below words

22,000 times

2,200 times

220 times

22 times

53.

What is the value of $\frac{7^2}{7^4}$

a)

$\frac{1}{49}$

b)

$\frac{1}{14}$

c)

14

d)

49

54.

Which expression is equivalent to $\frac{\left(5^4\right)^2}{\left(5^{-3}\right)^4}$ ?

a)

$5^{20}$

b)

$5^4$

c)

$\frac{1}{5^4}$

d)

$\frac{1}{5^{20}}$

55.

Which expression is equivalent to $\frac{\left(2^2\cdot2\right)^4}{\left(2^4\cdot2^2\right)}$ ?

a)

$\frac{1}{2^3}$

b)

1

c)

2

d)

$2^6$

56.

The graph and table are both linear functions. At what point do they intersect?

a)

$\left(0,4\right)$

b)

$\left(5,-11\right)$

c)

$\left(5,0\right)$

d)

$\left(5,19\right)$

57.

This shows a system of equations

$y=-3x+2$

$y=4x-5$

What is the solution to the system?

a)

$\left(1,-3\right)$

b)

$\left(1,-1\right)$

c)

$\left(-3,4\right)$

d)

$\left(2,-5\right)$

58.

This shows a system of equations.

$y=x+1$

$y=-3x+9$

What is the solution to the system?

a)

$\left(1,2\right)$

b)

$\left(2,3\right)$

c)

$\left(3,4\right)$

d)

$\left(4,5\right)$

59.

This shows a system of equations.

$y=2x+3$

$y=-2x+7$

What value of x that satisfies this system?

a)

$-2$

b)

$1$

c)

$2$

d)

$5$

60.

Justin and KD are each saving money.

Justin has $15 saved and plans to save $5 more each week.

KD has $25 saved and plans to save $4 more each week.

How many weeks will it be before both have saved the same amount of money?

a)

5

b)

7

c)

8

d)

10

61.

Reed reads at a constant rate of 1.5 pages per minute and has already read 20 pages. Samantha has read 25 pages and reads at a constant rate of $\frac{3}{4}$ pages per minute.

In how much time will Reed and Samantha read the same number of pages

a)

6 minutes, 23 seconds

b)

6 minutes, 40 seconds

c)

29 minutes

d)

30 minutes

62.

A system of equations is shown.

$y=2x-5$

$y=4x+3$

What is the solution to the system of equations?

a)

$\left(-4,-13\right)$

b)

$\left(-4,3\right)$

c)

$\left(4,-13\right)$

d)

$\left(4,3\right)$

63.

A rectangle has a width of 6 inches. The area of the rectangle is 2 inches less than the perimeter. What is the length of the rectangle?

a)

2.5 inches

b)

3.5 inches

c)

4.0 inches

d)

8.0 inches

64.

Elijah wants to order some lunch for himself and his friends. Bryanna's Deli charges $5 per sandwich plus $8 for delivery. Yemaya's Deli charges $6 per sandwich plus $4 for delivery. How many sandwiches would Elijah have to purchase to make the total cost of lunch the same?

a)

4 sandwiches

b)

12 sandwiches

c)

6 sandwiches

d)

28 sandwiches

65.

What is the value of k when $k^3=\frac{1}{125}$

a)

$\frac{1}{25}$

b)

$\frac{1}{5}$

c)

5

d)

25

66.

What is the value of x when $x^3=\frac{27}{64}$

a)

$\frac{9}{8}$

b)

$\frac{3}{4}$

c)

$\frac{3}{8}$

d)

$\frac{3}{16}$

67.

What is the value of x if $x^2-5=31$

a)

5

b)

6

c)

13

d)

18

68.

What is the value of x in the equation $x^3+4=68$

a)

3

b)

4

c)

8

d)

64

69.

What is the value of x if $\sqrt[3]{x}-3=4$

a)

7

b)

49

c)

147

d)

343

70.

What is the value $x^3=\frac{125}{64}$

a)

$\frac{4}{5}$

b)

$\frac{5}{4}$

c)

$\frac{5}{8}$

d)

$\frac{8}{5}$

71.

Here is a linear function. Which table has the same slope as the function in the graph?

a)

b)

c)

d)

72.

Dumbledore compared the function $y=2x-3$ and this graph. What is the difference in the y-intercepts?

a)

1

b)

2

c)

3

d)

4

73.

Two companies offer Quidditch Brooms for rental. They each require a deposit and then a charge per hour to use a broom. Slytherin Sales charges a $25 deposit and then $18 per hour. The cost to use a broom from Ravenclaw Rides is shown in the table.

Hours -- Cost

3 -- 86

5 -- 130

8 -- 196

Which company charges more per hour, and how much more?

a)

Slytherin, $5

b)

Ravenclaw, $5

c)

Slytherin, $4

d)

Ravenclaw, $4

74.

The equation $y=x+8$ and the graph represent linear equations.

Which statement is true?

a)

The slope in the equation is steeper than the graph

b)

One of the rates of change is positive and the other is negative

c)

Both y-intercepts are positive

d)

The graph has a steeper slope than the equation

75.

A function is shown in the table and a second function is graphed. Which function has a larger y-intercept and what is its y-intercept?

a)

The table, 4

b)

The table, -4

c)

The graph, 3

d)

The graph, -3

76.

Consider the linear function $y=-\frac{2}{5}x+7$ and the linear function in the table. Which has the larger y-intercept, and what is its value?

a)

Equation, 17.5

b)

Equation, 7

c)

Table, 20

d)

Table, 5

77.

Two linear functions are shown. Linear function J is represented by the equation $y=\frac{3}{4}x-6$ . The table represents linear function K.

Which Function has a larger x-intercept and what is its x-intercept?

a)

Function J, -6

b)

Function J, 8

c)

Function K, 5

d)

Function K, 10

78.

Melissa compared function 1, $y=4x+5$ , to function 2, a linear function that goes through the points shown in the table.

x - - y

2 - - 12

4 - - 24

6 - - 36

8 - - 48

Which function has the grater rate of change, and what is its rate of change?

a)

Function 1, 4

b)

Function 1, 6

c)

Function 2, 4

d)

Function 2, 6

79.

Taylor and Abby are given a 5,000 essay assignment.

* Abby has already typed 375 and can type 45 words per minute.

* Taylor's typing rate is given by the equation $T=57w+290$ , where T is the total words types and w is time in minutes.

What is the approximate difference in time it takes Abby and Taylor to finish their essays?

a)

12 minutes

b)

20 minutes

c)

75 minutes

d)

85 minutes

80.

Lines n and o are cut by a transversal p.

What is the value of x?

a)

10

b)

20

c)

32

d)

36

81.

A triangle is shown. What is the measure of angle n?

a)

26º

b)

44º

c)

46º

d)

64º

82.

What is the value of x?

a)

10º

b)

34º

c)

38º

d)

76º

83.

The lines f and g are parallel and cut by transversal h.

What is the value of x?

a)

45

b)

55

c)

65

d)

75

84.

A triangle is shown. What is the measure of angle x?

a)

34º

b)

38º

c)

44º

d)

50º

85.

A triangle is shown.

What is the measure of angle x?

a)

24º

b)

41º

c)

65º

d)

72º

86.

The image shows a line segment. Which of the following is the equation for this line segment?

a)

$y=\frac{1}{2}x+10$

b)

$y=-\frac{1}{2}x+10$

c)

$y=-2x+10$

d)

$y=2x+10$

87.

A farmer determined the equation $y=-\frac{5}{4}x+88.75$ best fits his data when comparing the weight, y, in grams, of strawberries to the average daily mean temperature, x, in ºF. What is the meaning of the rate of change of the equation?

a)

For every 5 strawberries the farmer picks, the temperature decreases by 4 degrees

b)

The farmer lost on average 5 strawberries for every 4 degree increase in temperature.

c)

When the weight of the strawberries increased by 4 grams, the temp decreased by 5 degrees

d)

When the temperature by 4 degrees, the strawberries lost on average 5 grams of weight.

88.

What is the slope of a line that passes though the points (-3, 2) and (-6, 5)?

a)

-3

b)

-1

c)

$\frac{1}{3}$

d)

1

89.

A linear function is represented by the table.

What is the y-intercept of the function?

a)

-3

b)

0

c)

3

d)

6

90.

This table represents a linear function.

What equation represents this function?

a)

$y=-x+5$

b)

$y=-x+2$

c)

$y=2x+4$

d)

$y=4x+2$

91.

The set of data in the image represents a linear function.

Which of the following equations would represent this linear function?

a)

$y=-4x+4$

b)

$y=-4x-4$

c)

$y=4x+4$

d)

$y=4x-4$

92.

This table shows a set of data.

Which linear equations fits the set of data?

a)

$y=-8x-2$

b)

$y=-4x+30$

c)

$y=4x-14$

d)

$y=8x+2$

93.

What is the solution to the inequality?

$12-\left(3x+4\right)>3x-4$

a)

$x<2$

b)

$x>2$

c)

$x<\frac{10}{3}$

d)

$x>\frac{10}{3}$

94.

$\frac{1}{4}\left(x-8\right)+\frac{1}{2}x=2x+\frac{3}{4}\left(x-24\right)$

(a)

95.

Select all of the following that would satisfy this inequality

$3x+4\le\frac{1}{2}\left(x+4\right)-6$

a)

$-4\frac{1}{2}$

b)

$-3\frac{1}{5}$

c)

$-2$

d)

$3\frac{1}{5}$

e)

$4\frac{3}{5}$

96.

How many solutions does this equation have?

$8x+6=14-4\left(2-2x\right)$

a)

One

b)

None

c)

infinitely many

d)

two

97.

What is the value of x in the equation?

$0.25x+7=4\left(x-2\right)$

(a)

98.

What value of x satisfies this equation?

$12\left(x-2\right)+3x=\frac{1}{2}\left(x+6\right)+2$

(a)

99.

What value of x satisfies the equation?

$2x+40=3x-85$

(a)

100.

What is the solution to the inequality shown? $-2\left(x+3\right)<6-x$

a)

$x>-12$

b)

$x<-12$

c)

$x>12$

d)

$x<12$

101.

What is the solution to the inequality shown?

$2-x<4-3x$

a)

$x>1$

b)

$x<1$

c)

$x>-1$

d)

$x<-1$

102.

What is the solution to this inequality?

$7\left(2m-\frac{3}{7}\right)\le16m+7$

a)

$m\le-5$

b)

$m\ge-5$

c)

$m\le-\frac{52}{49}$

d)

$m\ge-\frac{52}{49}$

103.

What is the solution to the inequality shown?

$3m+5>2\left(m-7\right)$

a)

$m>-12$

b)

$m>12$

c)

$m>-19$

d)

$m>19$

104.

What is the value of x in this equation?

$6x-4\left(x-9\right)=2\left(3-x\right)$

(a)

105.

Does the table represent a linear relationship between x and y?

a)

No, the rate of change is not constant.

b)

Yes the rate of change is 1.

c)

Yes, the rate of change is 2.

d)

No, the table does not represent a relationship/

106.

Which table represents a nonlinear relationship?

a)

b)

c)

d)

107.

Is the equation linear or nonlinear?

a)

Linear

b)

Nonlinear

108.

Is the function linear or nonlinear?
y = x² + 7

a)

Linear

b)

Nonlinear

109.

Is the function linear or nonlinear?

a)

Linear

b)

Nonlinear

110.

Is the function linear or nonlinear?
y = 3x² - 4x + 2

a)

Linear

b)

Nonlinear

111.

What type of function represents this equation?

a)

Linear

b)

Nonlinear

112.

Is the function represented by the table linear or nonlinear?

a)

Linear

b)

Nonlinear

113.

Is the function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

114.

Match the following

a)

1.

Function

b)

{(0, 2), (3, 4),

(6, 6), (9, 8)}

2.

Function

c)

3.

Not a Function

d)

4.

Function

e)

5.

Not a Function

115.

What type of association does this scatterplot show?

a)

No association

b)

Nonlinear Association

c)

Positive Linear

d)

Negative Linear

116.

Based on this scatterplot, which statement is correct?

a)

The score of 80 is an outlier

b)

The score of 40 is an outlier

c)

The more assignments the students completed, the higher their test score

d)

The fewer assignments the students completed, the higher their test score

117.

The table shows the number of hours Jayleen watched TV per week and her weekly science test grades. What type of association exists?

a)

No association

b)

Positive association

c)

Negative association

d)

Irrational association

118.

Which situation would most likely represent a positive correlation?

a)

the temperature ouside and the temperature inside

b)

an increase in altitude and an increase in temperature

c)

the amount of money earned and the amount of money spent

d)

the number of miles driven and the amount of gas consumed

119.

Which typeof association is most likely to exist between the amount of time an individual uses a laptop and the percent of battery life of the laptop?

a)

A negative association

b)

A positive association

c)

Nonlinear association

d)

No association

120.

Based on this scatterplot, which point would most likely be considered an outlier?

a)

$\left(2,4\right)$

b)

$\left(4,4\right)$

c)

$\left(6,6\right)$

d)

$\left(8,3\right)$

121.

What type of correlation is shown in the table?

a)

A positive correlation

b)

A constant correlation

c)

A negative correlation

d)

No correlation

122.

What type of correlation does this scatterplot show?

a)

linear association

b)

positive association

c)

negative association

d)

nonlinear association

123.

Which statement is true?

a)

As the price decreases, the quantity purchased decreases

b)

As the price increases, the quantity purchased increases

c)

As the price increases, the quantify purchased decreases

d)

There is no relationship between price and quantity purchased.

124.

Write a linear equation to represent the table. (y=mx+b)

125.

y=mx+b

126.

What is the equation for the table?

a)

y =1/4x -3

b)

y =4x - 3

c)

y = -3x -3

d)

y =-2x -3

127.

Line segment PQ is tranlated 3 units to the right, resulting in segment P'Q'. If the length of PQ is 6 units, what is the length, in units, of segment P'Q'?

Enter numerical value only.

(a)

128.

The figure will be dilated with the respect to the original by a scale factor of 3. What will be the length of C'D' after the dilation?

a)

3 units

b)

6 units

c)

15 units

d)

18 units

129.

If triangle KLM is rotated 90º clockwise about the origin, what would be the coordinates of point M?

a)

(-6, -2)

b)

(-2, -6)

c)

(2, 6)

d)

(6, 2)

130.

Which scatterplot is the best modeled by the equation $y=-x+1$

a)

b)

c)

d)

131.

Which is an equation for the line?

a)

$y=2x+2$

b)

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

c)

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

d)

$y=-2x+2$

132.

Jasmine determined she can use the equation $y=\frac{1}{2}x+50$ to predict how many ice-cream cones she will sell at a particular event, based on the temperature, x, in degrees Fahrenheit. What is the meaning of the y-intercept in the equation?

a)

Jasmine will sell 50 ice-cream cones when the temperature is 0°F.

b)

For every 2° increase, Jasmine will sell 1 additional ice-cream cone.

c)

For every 1° increase, Jasmine will sell 2 additional ice-cream cones.

d)

When the temperature is 50°F, Jasmine will sell fewer ice-cream cones than usual.

133.

Noah has a lunch account at the cafeteria. Noah can estimate the amount of money left in his lunch account using the equation y = 48 – 5x, where x represents the number of days he eats lunch. What is the meaning of the slope in the equation?

a)

He has $48 in his lunch account.

b)

He spends $5 per day eating lunch at the cafeteria.

c)

He has $43 in his lunch account after eating one day.

d)

He spends $10 of his lunch account after eating two days.

134.

The equation C = 5.5b + 88 represents the relationship between carbohydrates (b) and calories (C) of some foods. What is the meaning of the slope?

a)

The number of calories increases by 5.5 each time a carbohydrate is added.

b)

The number of calories increases by 88 each time a carbohydrate is added.

c)

The total number of calories is 93.5.

d)

Most foods start with 88 calories.

135.

Layla recorded her baby sister’s height, y, in inches, each month, x. The scatterplot shows her results.

Layla modeled the data approximately with the linear function y = 0.75x + 15. What does the slope of the line represent?

a)

Her sister grew about 15 inches each month.

b)

Her sister grew about 1 inch every 15 months.

c)

Her sister grew about 0.75 inch each month.

d)

Her sister grew about 1 inch every 0.75 month.

136.

Madison collected data on airline flights. The equation for her set of data is M = 1,754 – 550h, where M represents the distance a plane is from its destination and h represents the time in hours. What is the meaning of the y-intercept?

a)

the distance the plane traveled per hour

b)

the distance the plane has traveled after 1 hour

c)

the length of time the plane takes to reach its destination

d)

the distance from the destination before the plane departs

137.

An employee at an arcade determined he could use the equation y = 50 – 2x to predict the number of tokens a guest has, y, based on the number of minutes, x, the guest has been at the arcade. What is the meaning of the slope of the equation?

a)

Guests typically have 50 tokens when they first arrive.

b)

Guests typically have 50 tokens left when they leave.

c)

Guests typically earn 2 tokens per minute.

d)

Guests typically use 2 tokens per minute.

138.

A school’s math department has money to spend on calculators. It uses the equation y = 1,000 – 80x to determine how much money is left in the account to spend on calculators, where x represents the number of calculators purchased. What is the meaning of the slope of the equation?

a)

Each calculator costs $80.

b)

Each calculator costs $1,000.

c)

The account had $80 before buying calculators.

d)

The account had $1,000 before buying calculators.

139.

A cell phone company charges its customers a flat fee of $60 each month for calls and texts, plus an additional $5.00 for each gigabyte of data used. What does the y-intercept of the function represent?

a)

the flat fee for calls and texts

b)

the cost for each gigabyte of data used

c)

the total amount of a monthly bill with 1 gigabyte of data used

d)

the total amount of a monthly bill with 2 gigabytes of data used

140.

The cost, y, in dollars, to purchase x school T-shirts includes a one-time setup fee, plus a charge per T-shirt. The cost is modeled with the linear function y = 6.67x + 35. What is the cost to purchase each T-shirt after the beginning setup cost is paid?

a)

$ 41.67

b)

$ 35.00

c)

$ 28.33

d)

$ 6.67

141.

A water company uses the function T = 35 + 0.003w to calculate each customer’s monthly water bill, T, where w is the number of gallons of water used. Which statement describes the slope of the function?

a)

Customers are charged $35.00 each month.

b)

Customers are charged 0.003 of a cent each month.

c)

Customers are charged $0.003 per gallon of water used.

d)

Customers are charged $35.003 per gallon of water used.

142.

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

(a)

143.

How many times greater is the slope of $y=4x+8$ than the slope of the line that passes through (0, 4) and (6, 7)?

a)

2 times

b)

4 times

c)

6 times

d)

8 times

144.

Which equation has the same y-intercept as the linear function in the table?

a)

$y=3x-21$

b)

$y=4x-24$

c)

$y=5x+8$

d)

$y=6x+12$

145.

Which equation has the same y-intercept as the linear function in the table?

a)

$y=3x-5$

b)

$y=4x-15$

c)

$y=5x-6$

d)

$y=6x+12$

146.

Which table represents a linear function?

a)

b)

c)

d)

147.

What value of x satisfies the equation shown?

$2\left(x-3\right)=6x+18$

(a)

148.

Which table represents a nonlinear relationship?

a)

b)

c)

d)

149.

$2t+6=2\left(t+3\right)$

a)

True for all

b)

True for none

c)

One solution only

150.

$3\left(n+1\right)=3n+1$

a)

True for all

b)

True for none

c)

One solution only

151.

$\frac{1}{4}\left(20d+4\right)=5d$

a)

True for all

b)

True for none

c)

One solution only

152.

$5-9+3x=-10+6+3x$

a)

True for all

b)

True for none

c)

One solution only

153.

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

a)

True for all

b)

True for none

c)

One solution only

154.

$y\cdot-6\cdot-3=2\cdot y\cdot9$

a)

True for all

b)

True for none

c)

One solution only

155.

In the figure lines P and Q are parallel. What is the measure of angle s? Numerical answers only, no words, spaces or other symbols.

(a)

156.

In the figure line R is parallel to line S. What is the value of x? Numerical answers only, no words, spaces, or other symbols.

(a)

157.

In the figure, line m is parallel to line n. What is the value of x? (Use the number only, no symbols, spaces, or words)

(a)

158.

Find the solution for the equation. Use only numbers in your answer.

Encuentra la solución de la ecuación. Utilice sólo números en su respuesta.

$-\frac{1}{2}\left(t+3\right)-10=-6.5$

159.

Find the solution for the equation. Use only numbers in your answer.

Encuentra la solución de la ecuación. Utilice sólo números en su respuesta. $\frac{n}{7}-12=5n+5$

160.

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