Free Printable ACAP PREP 8th Grade

1.

Which translation can be used to prove that figures 2 and 3 are congruent?

a)

(x, y) → (x, y - 4)

b)

(x, y) → (x + 2, y)

c)

(x, y) → (x - 3, y + 1)

d)

(x, y) → (x + 1, y - 3)

2.

Which pair of ratios form a proportion?

a)

7:11 and 35:44

b)

7:11 and 35:44

c)

9:12 and 27:48

d)

11:7 and 33:21

3.

Which mapping diagram does NOT represent a function from x → y?

a)

b)

c)

4.

Which two ratios form a proportion?

a)

2 : 3 and 12 : 18

b)

2 : 3 and 12 : 36

c)

2 : 3 and 4 : 12

5.

$x^3=\frac{27}{64}$

a)

x = 34

b)

x = (34)³

c)

$x=\frac{3}{4}$

d)

$x=(±34)3$

6.

Which line best fits the data in the scatterplot?

a)

y = 2x - 1

b)

y = 2x + 2

c)

y = 2x + 3

d)

y = 2x + 1

7.

x + 3y = 7

x - 3y = 1

Solve the system of equations.

a)

x = 4, y = 1

b)

x = 1, y = 4

c)

x = -23, y = 3

d)

x = 3, y = -23

8.

2(2 + 3) + 4x = 2(2x + 2) + 6

a)

no solution.

b)

infinitely many solutions.

c)

two solutions.

d)

one solution.

9.

The given lines are rotated 90°. Which choice describes the lines resulting from the transformation?

a)

intersecting

b)

parallel

c)

perpendicular

d)

skew

10.

Which scatterplot suggests no relationship between x and y?

a)

I and III only

b)

II only

c)

II and III only

d)

III only

11.

Simplyfy $\left(3^2\right)^2$ Choose two answers

a)

81

b)

9

c)

6

d)

$3^2$

e)

$3^4$

12.

Car rental agency A charges $50 per day plus 10 cents per mile driven. Agency B charges $20 per day plus 30 cents per mile driven. For a one-day rental it is cheaper to rent from agency A if you drive more than

a)

150

b)

100

c)

50

d)

75

13.

The cost of t-shirts varies directly with the number of t-shirts. The data is shown in the graph. If x = is number of t-shirts, and y = the cost, which equation models Bill's direct variation?

a)

y = 5.5 + x

b)

y = 5.5x

c)

y = 11x

d)

y = 11 + x

14.

Which of these equations has infinitely many solutions?

a)

0.5(4y + 16) = 2y − 8

b)

0.5(y + 16) = 2y − 8

c)

8x + 24 = −4(2x − 6)

d)

−3(6x + 4) + 30x = 12(x − 1)

15.

Which points represents the function y = 2x + 4?

a)

(-2,0) (0,4) (2,8)

b)

(-2,1) (0,4) (2,9)

c)

(-2,10) (0,4) (3,8)

d)

(2,0) (10,4) (2,8)

16.

The line segment shown is rotated 90° clockwise about the origin. What are the new coordinates of point B?

a)

(3, -4)

b)

(-3, 4)

c)

(-4, 3)

d)

(-4, -3)

17.

The line segment shown is rotated 90° counterclockwise about the origin. What are the new coordinates of point B?

a)

(-3, 4)

b)

(-3,- 4)

c)

(-4, 3)

d)

(-4, -3)

18.

The line segment shown is rotated 180° about the origin. What are the new coordinates of point B?

a)

(-3, 4)

b)

(-3,- 4)

c)

(-4, 3)

d)

(-4, -3)

19.

The line segment shown is rotated 270° clockwise about the origin. What are the new coordinates of point B?

a)

(-3, 4)

b)

(-3,- 4)

c)

(-4, 3)

d)

(-4, -3)

20.

The line segment shown is reflected over the y axis about the origin. What are the new coordinates of point B?

a)

(-4,3)

b)

(-3,- 4)

c)

(4, 3)

d)

(-4, -3)

21.

What is 4.9 × 10⁻³ in standard form?

a)

0.0049

b)

0.049

c)

4,900

d)

490

22.

What is 4.9 × 10³ in standard form?

a)

0.0049

b)

0.049

c)

4,900

d)

490

23.

The line that BEST models the data shown in the scatterplot is line

a)

A

b)

B

c)

C

d)

D

24.

The scatter plot represents the weight of a car and its gas mileage. Based on the data presented, which statement is true?

a)

The heaviest car gets the best gas mileage.

b)

The lightest car gets the worst gas mileage.

c)

Gas mileage decreases with an increase in car weight.

d)

Gas mileage decreases with an decrease in car weight.

25.

A polygon is drawn and then reflected over the line as shown in the diagram. Which statement is true?

a)

The two polygons are congruent because a reflection does not change size and shape.

b)

The two polygons are not congruent because a reflection changes angle measures.

c)

The two polygons are not congruent because a reflection changes side length

d)

The two polygons are congruent because all polygons are congruent.

26.

Which of the numbers is irrational?

a)

2.3

b)

$\sqrt{3}$

c)

$\sqrt{4}$

d)

$\frac{1}{3}$

27.

Identify the unit rate in the graph.

a)

80

b)

60

c)

40

d)

20

28.

Chris has $100 in his savings account and he adds $20 a month to the account. The total amount can be represented by the linear function T = 20x + 100. His goal is to have a total of $300 in four more months. What should he change in the function to reach this goal?

a)

Change the amount he adds each month to $50.

b)

Change the amount he adds each month to $40.

c)

Change the y-intercept of the linear function to $20.

d)

Change the y-intercept of the linear function to $50.

29.

$\frac{6x-6}{3}=2x-2$

a)

infinitely many solutions

b)

exactly two solutions

c)

exactly one solution

d)

no solution

30.

If point B is translated 5 units right and 3 units down, what are the coordinates of B'?

a)

(3, 1)

b)

(−1, 3)

c)

(1, −3)

d)

(1, 3)

31.

$Solve\ ^{\ \ \ \ \ \ \ \ }x^2=175.$

a)

$x=9\sqrt{4}$

b)

x = $5\sqrt{7}$

c)

$x=3\sqrt{7}$

d)

$x=7\sqrt{3}$

32.

Which linear function represents the table?

a)

y = 6x + 2

b)

y = 6x − 2

c)

y = −6x + 2

d)

y = −6x − 2

33.

Point A is located at (−5, 2) on a coordinate grid. Point A is translated 4 units to the right and 2 units down to create point A'. Which measurement is closest to the distance between point A and point A' in units?

a)

4.5

b)

4.7

c)

4.9

d)

5.1

34.

Which graph represents the equation y = −12x + 3 ?

a)

b)

c)

d)

35.

Which graph represents the equation y = −12x - 3 ?

a)

b)

c)

d)

36.

Which graph represents the equation y = 12x - 3 ?

a)

b)

c)

d)

37.

$What\ is\ the\ \ simplifiedform\ of\ \left(2x^2y^5\right)^4$

a)

$\left(16x^8y^{20}\right)$

b)

$\left(16x^6y^7\right)$

c)

$\left(16x^2y^3\right)$

38.

A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of a house.

• When the company spends 2 hours to clean floors and 3 hours to clean the rest of a house, the total charge is $80.

• When the company spends 1 hour to clean floors and 4 hours to clean the rest of a house, the total charge is $100.

Which ordered pair represents the hourly charges to clean floors and to clean the rest of the house?

a)

(4, 24)

b)

(2, 12)

c)

(12, 12)

d)

(24, 4)

39.

Solve the system

0.4x - 0.1y = 2

0.2x + 0.5y = 1

a)

(5, 0)

b)

(0, 5)

c)

(0, -5)

d)

(-5, 0)

40.

Which equation shows how to find the product of 100,000 and 1,000,000 using scientific notation?

a)

100,000 × 1,000,000 = (1 × 10⁵) × (1 × 10⁶) = 1 × 10^{(5 + 6)} = 1 × 10¹¹

b)

100,000 × 1,000,000 = (1 × 105) × (1 × 106) = 1 × 10(5 × 6) = 1 × 1030

c)

100,000 × 1,000,000 = (1 × 10⁶) × (1 × 10⁷) = 1 × 10^{(6 + 7)} = 1 × 10¹³

d)

100,000 × 1,000,000 = (1 × 10⁶) × (1 × 10⁷) = 1 × 10^{(6 × 7)} = 1 × 10⁴²

41.

(8,32) (13,52) shows a proportional relationship between x and y. What is the unit rate of y per x?

a)

1

b)

2

c)

3

d)

4

42.

The sun is about 93 million miles from the earth. Express this distance in scientific notation.

a)

93 x 10⁶

b)

0.93 x 10⁸

c)

9.3 x 10⁷

d)

9.3 x 10⁶

43.

For every 3 lbs of beef, there are ____ cups of broccoli.

a)

1 and 1/2

b)

2 and 1/2

c)

3 and 1/2

d)

4 and 1/2

44.

For every 1 lb of beef, there are ____ cups of broccoli.

a)

1 and 1/2

b)

2 and 1/2

c)

3 and 1/2

d)

4 and 1/2

45.

For every 4 cups of broccoli, there are ____ lbs of beef.

a)

1 and 2/3

b)

2 and 2/3

c)

3 and 2/3

d)

4 and 2/3

46.

What is the constant of proportionality of this table in y/x?

a)

3/2

b)

2/3

c)

1/3

d)

3

47.

What is the unit rate of this table?

a)

3/2

b)

2/3

c)

1/3

d)

3

48.

Identify a constant in the expression
3x + 2y + 7

a)

3

b)

2y

c)

7

d)

2

49.

Identify the coefficient in the expression
4m + n + 2

a)

2

b)

4

c)

m

d)

n

50.

How many terms are in the expression
3x + 2y + z

a)

5

b)

2

c)

4

d)

3

51.

Identify the variables in the expression
3x + 9

a)

x

b)

y

c)

9

d)

3x

52.

What is a constant?

a)

A term with no variables.

b)

A number.

c)

A term with numbers and variables.

d)

A letter.

53.

Identify the constant in the expression
4y + 2 + x

a)

x

b)

y

c)

4y

d)

2

54.

How is the number 9 best described in the expression
9m + 3n + 4

a)

coefficient

b)

variable

c)

constant

d)

term

55.

What is a variable.

a)

A number without a letter.

b)

A number multiplied by a letter.

c)

A symbol to represent the unknown.

d)

Parts of the expression separated by plus or minus signs.

56.

What is the coefficient of t^{3 ?}13x + 5y - 10t³

a)

-10

b)

8

c)

5

d)

13

57.

Write an algebraic expression:
three times a number

a)

3n

b)

3/n

c)

3+n

d)

3-n

58.

Solve 5^-2

a)

-10

b)

1/25

c)

1/(5)²

d)

-1/10

59.

3⁻⁴

a)

1 ⁄ 81

b)

-81

c)

81

d)

1 ⁄ 12

60.

Solve (-8)^-2

a)

1/(-8)²

b)

1/8²

c)

1/64

d)

-64

61.

Simplify

a)

7a⁵/b³

b)

b³/7a⁵

c)

7b³/a^-⁵

d)

7b³ /a⁵

62.

Simplify

a)

42x⁵

b)

-42/x⁵

c)

42/x^-⁵

d)

42/x⁵

63.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

64.

Simplify.

a)

y⁶⁰

b)

¹/_y¹⁶

c)

y^-16

d)

y⁴

65.

a)

0

b)

3

c)

1

d)

-1

66.

a)

1

b)

6⁰

c)

36/36

d)

all of the above

67.

$n^{-1}$

a)

$\frac{1}{n}$

b)

1

c)

$\frac{n}{1}$

d)

$n$

68.

$6n^{-1}$

a)

$6n$

b)

$\frac{n}{1}$

c)

$\frac{6}{n}$

d)

$\frac{n}{6}$

69.

$6x^{-2}$

a)

$\frac{x}{6}$

b)

$\frac{6}{x^2}$

c)

$\frac{x^2}{6}$

70.

$\left(\frac{-8p^{10}}{7r^3}\right)^{^2}$

a)

-64p²⁰/ 49r⁶

b)

64p²⁰/ 49r⁶

c)

-8p²⁰/ 14r⁶

d)

-64p¹²/ 49r⁵

71.

a)

b)

2x²z⁴

c)

3x²y⁵z⁴

d)

72.

a)

$\frac{27x^{15}z^3}{y^6}$

b)

$\frac{9x^{15}z^3}{y^6}$

c)

$27x^8yz^4$

d)

$\frac{27x^8z^4}{y}$

73.

According to exponent rules, when we multiply two powers with the same base we _______ the exponents.

Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

74.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

75.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

76.

Simplify so there are no negative exponents in the answer.

\left(3n^3\right)^{-3}

a)

$\frac{1}{27n^9}$

b)

$\frac{-27}{n^9}$

c)

$\frac{-27}{n^6}$

d)

$\frac{-9}{n^6}$

77.

Simplify so there are no negative exponents in the answer.

\frac{3x^3\cdot4x^4}{x^2}

a)

$12x^5$

b)

$12x^9$

c)

$7x^5$

d)

$7x^4$

78.

Shaun is 4 years older than her sister Charmaine. If the sum of their ages is 16 how old is Charmaine?

a)

4

b)

6

c)

8

d)

10

79.

.

Shaun is 6 years older than her sister Charmaine. If the sum of their ages is 16 how old is Charmaine?.

Shaun is 6 years Shaun is 6 years older than her sister Charmaine. If the sum of their ages is 16 how old is Charmaine?older than her sister Charmaine. If the sum of their ages is 16 how old is Charmaine?

a)

4

b)

2

c)

6

d)

10

80.

Shaun is 2 years older than her sister Charmaine. If the sum of their ages is 10 how old is Charmaine?

a)

2

b)

4

c)

6

d)

10

81.

Marty made a $220 bank deposit using $10 bills and $5 bills. She gave the teller a total of 38 bills, how many $5 bills were in the deposit?

a)

32

b)

31

c)

26

d)

12

82.

Marty made a $320 bank deposit using $10 bills and $5 bills. She gave the teller a total of 38 bills, how many $10 bills were in the deposit?

a)

32

b)

12

c)

27

d)

26

83.

Marty made a $320 bank deposit using $10 bills and $5 bills. She gave the teller a total of 38 bills, how many $5 bills were in the deposit?

a)

26

b)

32

c)

12

d)

27

84.

An airplane 28,000 feet above ground begins descending at a constant rate of 2,000 feet per minute. Which equation gives the height, h, of the airplane after m minutes?

a)

h = 28,000 − 2,000m

b)

h = 2,000m + 28,000

c)

h = 2,000 − 28,000m

d)

h = 28,000m + 2,000

85.

Your next math test is worth 111 points and contains 32 problems. Each problem is worth either 4 points or 3 points. How many 3 point problems are on the test?

a)

15

b)

16

c)

17

d)

18

86.

Your next math test is worth 115 points and contains 32 problems. Each problem is worth either 4 points or 3 points. How many 4 point problems are on the test?

a)

15

b)

16

c)

17

d)

19

87.

Alexis has played video games 24 hours over the last 9 days. She played either 2 hours a day or 3 hours a day. Formulate and solve a system of equations to determine how many days Alexis played for three hours a day.

a)

4

b)

5

c)

6

d)

7

88.

Alexis has played video games 24 hours over the last 9 days. She played either 2 hours a day or 3 hours a day. Formulate and solve a system of equations to determine how many days Alexis played for two hours a day.

a)

3

b)

4

c)

5

d)

6

89.

The graph shows the amount that Miracle Maid Service charges to clean a house. They charge a flat house visit fee plus an additional cost per room to clean a house. How much is the initial house visit fee?

a)

$30

b)

$4

c)

$20

d)

$10

90.

Which situation relates to the graph?

a)

A small pizza cost $6 ,and each topping costs an additional $4.

b)

A small pizza cost $6, and each topping costs an additional $2.

c)

A small pizza cost $2, and each topping costs an additional $6.

91.

match this equation y=-72x +360

a)

A bath tube has 72 liters of water, and 360 liters of water is added for each additional minute.

b)

A bath tube has 360 liters of water, and 72 liters of water is added for each additional minute.

c)

A bath tube has 360 liters of water remaining, and 72 liters of water is drained for each additional minute.

92.

A wheelchair ramp rises 36 inches and runs 3 inches. What is the rate of change?

a)

1/12

b)

12

c)

3

d)

39

93.

Anna has decided to purchase a small car with a small gas tank. If x represents the number of miles driven, which linear function would best ESTIMATE the gas in Anna's tank as she drives?

a)

y = 10 - 0.05x

b)

y = 12 + 0.05x

c)

y = 25 - 0.05x

94.

How much is the growth of students going up each year?

a)

200

b)

10

c)

2

d)

300

95.

Chris has $100 in his savings account and he adds $20 a month to the account. The total amount can be represented by the linear function T = 20x + 100. His goal is to have a total of $200 in four more months. What should he change in the function to reach this goal?

a)

Change the amount he adds each month to $25

b)

Change the amount he adds each month to $40.

c)

Change the y-intercept of the linear function to $20.

d)

Change the y-intercept of the linear function to $50.

96.

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)

97.

Who has the greater rate of change?

a)

Hunter has the greater rate of change.

b)

Casey has the greater rate of change

c)

They have the same rate of change

98.

What are the rate of change and initial value?

a)

Rate of Change = 3 Initial Value = 8

b)

Rate of Change = 1/3 Initial Value = 8

c)

Rate of Change = 8 Initial Value = 3

d)

Rate of Change = 8 Initial Value = 1/3

99.

How many times greater is

8.2 x 10⁸ then 200,000

a)

41 times greater

b)

410 times greater

c)

4.1 times greater

d)

4,100 times greater

100.

Which linear equation has a slope of -3 and a y-intercept of (0,4)?

a)

y = 3x - 4

b)

y = -3x + 4

c)

y = 4x - 3

d)

y = -4x + 3

101.

List the numbers in order from GREATEST to LEAST?

a)

b)

c)

d)

102.

Which statement describes the relationship between the data sets displayed on the scatterplot?

a)

The number of pets owned by a student increases as the student’s science test score increases.

b)

The number of pets owned by a student decreases as the student’s science test score increases.

c)

The number of pets owned by a student remains the same as the student’s science test score increases.

d)

There is no relationship between the number of pets owned by a student and the student’s science test score.

103.

Mrs. Patillo wanted to know whether there was a relationship between two sets of her students’ test scores. The scatterplot below shows the scores of her students. Which statement best describes the relationship?

a)

No correlation

b)

Constant relationship

c)

Negative correlation

d)

Positive correlation

104.

A used-car dealer kept records of the selling price of his used cars in 2005. The scatterplot shows the average selling price of his used cars based on the age of the used car. Using the graph, which is the closest to the selling price of an 8-year-old car?

a)

$7500

b)

$5000

c)

$2500

d)

$500

105.

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?

a)

The monthly fee

b)

How much Rich pays per visit

c)

The number of times Rich goes to the gym

d)

The total cost at the end of the month

106.

What percentage of girls have blonde hair?

a)

30%

b)

32%

c)

29%

d)

40%

107.

How many people purchased no food and no drink?

a)

60

b)

10

c)

20

d)

200

108.

Which of the following does NOT represent a function?

a)

F

b)

G

c)

H

d)

J

109.

What is the cost of 8 pounds of gummy candy?

a)

$ 12.50

b)

$ 8.00

c)

$ 13.00

d)

$ 12.00

110.

What value for the constant, h, in the equation shown will result in an infinite number of solutions?

6x + 18 = h (3x + 9)

a)

3

b)

2

c)

-3

d)

-2

111.

When you translate, (x-4,y) will move _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

112.

When you translate, (x+2,y) will move _____.

a)

2 units right

b)

2 units left

c)

2 units up

d)

2 units down

113.

Determine the slope.

a)

m=1/7

b)

m=-1/7

c)

m=-7

d)

m=7

114.

Which graph represents the equation y = −12x + 3 ?

Remember, in y = mx + b, m is the slope (rise/run) and b is the y-intercept

a)

b)

c)

d)

115.

$x^3$ = 125

Find x.

(a)

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

119.

a)

A

b)

B

c)

C

d)

D

120.

a)

A

b)

B

c)

C

d)

D

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.

For party decorations, you buy 6 rolls of crepe paper and 20 balloons for $11.90. After you start decorating, you determine that you need more party decorations. You buy 2 more rolls of crepe paper and 15 more balloons for $6.05. How much did each roll of crepe paper cost?

a)

$1.15

b)

$1.58

c)

22.6¢

d)

25¢

126.

Belle has $5.25 in dimes and nickels for a total of 63 coins. How many dimes does she have?

a)

42

b)

23

c)

11

d)

52

127.

Belle has $5.25 in dimes and nickels for a total of 63 coins. How many nickels does she have?

a)

42

b)

21

c)

11

d)

52

128.

Line L: y = 3x + 7

Line M: y = -2x + 12

Lines L and M intersect at point P.

Line N passes through the origin and through point P.

Determine the equation for line N.

a)

y=4x

b)

y=-2x

c)

y=10x

d)

y=X+3

129.

Line L: y = 3x + 7

Line M: y = -2x + 12

Lines L and M intersect at point P.

Line N is horizontal and passes through point P.

Determine the equation for line N.

a)

y=10

b)

y=1

c)

y=10x

d)

y=3x

130.

Line L: y = 3x + 7

Line M: y = -2x + 12

Lines L and M intersect at point P.

Line N is vertical and passes through point P.

Determine the equation for line N.

a)

x=10

b)

x=1

c)

y=1

d)

x=10

131.

Not including tax, 14 pieces of clothing cost $107. Pants cost $12.50 and shirts cost $4.00. No other types of clothes were purchased. Which system of equations could be used to solve for the number of pants (p) and the number of shirts (s) bought?

a)

b)

c)

d)

132.

Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. Formulate and solve a system of equations to determine how many times Jenny saved $250 for the month.

a)

5

b)

3

c)

4

d)

6

133.

Jeremy mows lawns during the summer in his neighborhood. Jeremy has made $800 mowing 35 lawns. He charged either $20 or $25 a lawn. Formulate and solve a system of equations to determine how many times Jeremy charged $20.

a)

15

b)

20

c)

8

d)

10

134.

Alex has a collection of butterflies and moths. He has 342 insects total. The number of butterflies is twice the number of moths. Write a system of equations that can be used to model this situation. How many butterflies does Alex have in his collection?

a)

134

b)

114

c)

228

d)

243

135.

Alex has a collection of butterflies and moths. He has 342 insects total. The number of butterflies is twice the number of moths. Write a system of equations that can be used to model this situation. How many moths does Alex have in his collection?

a)

134

b)

114

c)

228

d)

243

136.

The width of a rectangle is 6 less than half the length. If x represents the length, which equation could be used to find the width, y, of the rectangle?

a)

$x=\frac{1}{2}y-6$

b)

$y=\frac{1}{2}\left(y+6\right)$

c)

$y=\frac{1}{2}x-6$

d)

$y=\frac{1}{2}\left(y-6\right)$

137.

Suppose a ski cabin rental cost $225 per night. Additionally, each cabin rental also has a one time $50 recreational equipment fee. Which equation models the cost, c, for staying n nights at the ski cabin?

a)

c = 225(50 + n)

b)

c = 225n + 50

c)

c = 50n + 225

d)

c = 50(225 + n)

138.

Suppose a ski cabin rental cost $50 per night. Additionally, each cabin rental also has a one time $225 recreational equipment fee. Which equation models the cost, c, for staying n nights at the ski cabin?

a)

c = 225(50 + n)

b)

c = 225n + 50

c)

c = 50n + 225

d)

c = 50(225 + n)

139.

Derek reads at a rate of 25 words per minute. If he reads constantly until he is finished, how long would it take him to read a 225 word article?

a)

5 hours

b)

9 minutes

c)

25 minutes

d)

2 hours

140.

A lion's heart beats 12 times in 16 seconds. How many heartbeats will it have in 60 seconds?

a)

3.2 heartbeats

b)

45 heartbeats

c)

60 heartbeats

d)

80 heartbeats

141.

A lion's heart beats 12 times in 16 seconds. How many heartbeats will it have in one hour?

a)

3.2 heartbeats

b)

45 heartbeats

c)

60 heartbeats

d)

80 heartbeats

142.

A lion's heart beats 12 times in 16 seconds. How many heartbeats will it have in two hours?

a)

3.2 heartbeats

b)

45 heartbeats

c)

90 heartbeats

d)

80 heartbeats

143.

What is the slope?

a)

zero

b)

undefined

c)

positive

d)

negative

144.

The pitch of a roof is found the same way as the slope of a line. What is the pitch of a roof that has a height of 9 ft and a horizontal run of 7?

a)

7/9

b)

9/7

c)

2/3

d)

3/2

145.

Up and Running Auto Shop keeps track of their regular customers' data to see if there is a relationship between the life of a car's engine (y) and the number of times the oil is changed (x). When the data is shown on a scatter plot, the equation for the line of best fit is y = 0.4125x + 0.1576. What is the relationship between 0.4125 and the life of the car's engine?

a)

0.4125 shows how much the longevity of the engine increases with each oil change.

b)

0.4125 shows the expected longevity with no all changes.

c)

0.4125 shows the expected longevity for all engines, with or without oil changes.

d)

0.4125 is the expected decrease in longevity for each year without an oil change.

146.

A cayenne pepper plant's height when purchased was 3 inches. One week later, the plant 's height was exactly 4.3 inches. A bell pepper plant was also purchased at a height of 3 inches. Its height, h, after x weeks of growth is represented by h = 1.3x + 3. Assuming both plants continue to grow at a constant rate, which statement BEST compares the rate of change per week of the pepper plants?

a)

4.3 > 3

b)

3 > 1.3

c)

1.3 = 1.3

d)

3 = 3

147.

Jen and Ariel are reading a 400 page novel for their literature class. Jen decides to read 100 pages the first day and 50 pages each day thereafter. Ariel's progress on reading the book is represented by the linear function y = 40x + 80, where y is the total number of pages read after x days thereafter. Which statement BEST compares Jen's reading rate each day to Ariel's daily reading rate?

a)

Ariel read 20 pages more the first day than Jen read.

b)

Jen reads 20 pages per day more than Ariel.

c)

The reading rate each day for Jen and Ariel is the same.

d)

Ariel reads 10 pages per day less than Jen.

148.

Which situation relates to the graph?

a)

An airplane has 1 gallon of gas remaining, and 1 gallon of gas is used for each additional 10 miles flown.

b)

An airplane has 10 gallons of gas remaining, and 10 gallon of gas is used for each additional 1 mile flown.

c)

An airplane has 1 gallon of gas remaining, and 10 gallons of gas is used for each additional 1 mile flown.

d)

An airplane has 10 gallons of gas remaining, and 1 gallon of gas is used for each additional 10 miles flown.

149.

Which situation relates to the graph?

a)

Jake has 10 comic books in his collection, and each new comic book costs an additional $4.

b)

Jake has 4 comic books in his collection, and each new comic book costs an additional $10.

c)

Jake has 0 comic books in his collection, and each new comic book costs an additional $10.

d)

Jake has 10 comic books in his collection, and each new comic book costs an additional $1.

ACAP PREP 8th Grade

Total questions: 149

Worksheet time: 3hrs 1mins

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