Quiz about ACAP PREP 8th Grade

Question 1

Which pair of ratios form a proportion?

Accepted Answer

11:7 and 33:21

Answer

7:11 and 35:44

Answer

7:11 and 35:44

Answer

9:12 and 27:48

Question 2

Which two ratios form a proportion?

Accepted Answer

2 : 3 and 12 : 18

Answer

2 : 3 and 12 : 36

Answer

2 : 3 and 4 : 12

Question 3

Which line best fits the data in the scatterplot?

Accepted Answer

y = 2x - 1

Answer

y = 2x + 2

Answer

y = 2x + 3

Answer

y = 2x + 1

Question 4

x + 3y = 7

x - 3y = 1

Solve the system of equations.

Accepted Answer

x = 4, y = 1

Answer

x = 1, y = 4

Answer

x = -23, y = 3

Answer

x = 3, y = -23

Question 5

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

Accepted Answer

infinitely many solutions.

Answer

no solution.

Answer

two solutions.

Answer

one solution.

Question 6

Which scatterplot suggests no relationship between x and y?

Accepted Answer

II only

Answer

I and III only

Answer

II and III only

Answer

III only

Question 7

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

Accepted Answer

150

Answer

100

Answer

50

Answer

75

Question 8

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?

Accepted Answer

y = 5.5x

Answer

y = 5.5 + x

Answer

y = 11x

Answer

y = 11 + x

Question 9

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 10

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

Accepted Answer

(-4,3)

Answer

(-3,- 4)

Answer

(4, 3)

Answer

(-4, -3)

Question 11

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

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 12

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

Accepted Answer

Gas mileage decreases with an increase in car weight.

Answer

The heaviest car gets the best gas mileage.

Answer

The lightest car gets the worst gas mileage.

Answer

Gas mileage decreases with an decrease in car weight.

Question 13

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

Accepted Answer

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

Answer

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

Answer

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

Answer

The two polygons are congruent because all polygons are congruent.

Question 14

Identify the unit rate in the graph.

Accepted Answer

40

Answer

80

Answer

60

Answer

20

Question 15

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?

Accepted Answer

Change the amount he adds each month to $50.

Answer

Change the amount he adds each month to $40.

Answer

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

Answer

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

Question 16

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

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 17

Solve the system

0.4x - 0.1y = 2

0.2x + 0.5y = 1

Accepted Answer

(5, 0)

Answer

(0, 5)

Answer

(0, -5)

Answer

(-5, 0)

Question 18

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

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 19

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

Accepted Answer

9.3 x 10⁷

Answer

93 x 106

Answer

0.93 x 10⁸

Answer

9.3 x 10⁶

Question 20

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

Accepted Answer

4 and 1/2

Answer

1 and 1/2

Answer

2 and 1/2

Answer

3 and 1/2

Question 21

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

Accepted Answer

1 and 1/2

Answer

2 and 1/2

Answer

3 and 1/2

Answer

4 and 1/2

Question 22

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

Accepted Answer

2 and 2/3

Answer

1 and 2/3

Answer

3 and 2/3

Answer

4 and 2/3

Question 23

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

Accepted Answer

3/2

Answer

2/3

Answer

1/3

Answer

3

Question 24

What is the unit rate of this table?

Accepted Answer

3/2

Answer

2/3

Answer

1/3

Answer

3

Question 25

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

Accepted Answer

7

Answer

3

Answer

2y

Answer

2

Question 26

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

Accepted Answer

4

Answer

2

Answer

m

Answer

n

Question 27

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

Accepted Answer

3

Answer

5

Answer

2

Answer

4

Question 28

Identify the variables in the expression
3x + 9

Accepted Answer

x

Answer

y

Answer

9

Answer

3x

Question 29

What is a constant?

Accepted Answer

A term with no variables.

Answer

A number.

Answer

A term with numbers and variables.

Answer

A letter.

Question 30

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

Accepted Answer

2

Answer

x

Answer

y

Answer

4y

Question 31

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

Accepted Answer

coefficient

Answer

variable

Answer

constant

Answer

term

Question 32

What is a variable.

Accepted Answer

A symbol to represent the unknown.

Answer

A number without a letter.

Answer

A number multiplied by a letter.

Answer

Parts of the expression separated by plus or minus signs.

Question 33

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

Accepted Answer

-10

Answer

8

Answer

5

Answer

13

Question 34

Write an algebraic expression:
three times a number

Accepted Answer

3n

Answer

3/n

Answer

3+n

Answer

3-n

Question 35

Solve 5-2

Accepted Answer

1/25

Answer

-10

Answer

1/(5)2

Answer

-1/10

Question 36

Solve (-8)^-2

Accepted Answer

1/64

Answer

1/(-8)2

Answer

1/82

Answer

-64

Question 37

Simplify

Accepted Answer

7b3 /a5

Answer

7a5/b3

Answer

b3/7a5

Answer

7b³/a^-⁵

Question 38

Simplify

Accepted Answer

42/x5

Answer

42x5

Answer

-42/x5

Answer

42/x-5

Question 39

Simplify the following expression:
xy^-7

Accepted Answer

x/y7

Answer

xy7

Answer

x7/y

Answer

x7y

Question 40

Simplify.

Accepted Answer

y4

Answer

y60

Answer

1/y16

Answer

y-16

Question 41

Question 41.

Accepted Answer

1

Answer

0

Answer

3

Answer

-1

Question 42

Question 42.

Accepted Answer

all of the above

Answer

1

Answer

60

Answer

36/36

Question 43

$$n^{-1}$$

Accepted Answer

$$\frac{1}{n}$$

Answer

1

Answer

$$\frac{n}{1}$$

Answer

$$n$$

Question 44

$$6n^{-1}$$

Accepted Answer

$$\frac{6}{n}$$

Answer

$$6n$$

Answer

$$\frac{n}{1}$$

Answer

$$\frac{n}{6}$$

Question 45

$$6x^{-2}$$

Accepted Answer

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

Answer

$$\frac{x}{6}$$

Answer

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

Question 46

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

Accepted Answer

64p²⁰/ 49r⁶

Answer

-64p²⁰/ 49r⁶

Answer

-8p²⁰/ 14r⁶

Answer

-64p¹²/ 49r⁵

Question 47

Question 47.

Accepted Answer

Option A is correct

Answer

2x2z4

Answer

3x²y⁵z⁴

Answer

D.

Question 48

Question 48.

Accepted Answer

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

Answer

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

Answer

$$27x^8yz^4$$

Answer

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

Question 49

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

Accepted Answer

multiply

Answer

add

Answer

subtract

Answer

divide

Question 50

Simplify the following expression:

(xyz)⁰ =

Accepted Answer

1

Answer

0

Answer

xyz

Answer

-1

Question 51

Simplify so there are no negative exponents in the answer.

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 52

Simplify so there are no negative exponents in the answer.

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

Accepted Answer

$$12x^5$$

Answer

$$12x^9$$

Answer

$$7x^5$$

Answer

$$7x^4$$

Question 53

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

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 54

.

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?

Accepted Answer

10

Answer

4

Answer

2

Answer

6

Question 55

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

Accepted Answer

4

Answer

2

Answer

6

Answer

10

Question 56

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?

Accepted Answer

32

Answer

31

Answer

26

Answer

12

Question 57

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?

Accepted Answer

26

Answer

32

Answer

12

Answer

27

Question 58

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?

Accepted Answer

12

Answer

26

Answer

32

Answer

27

Question 59

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?

Accepted Answer

17

Answer

15

Answer

16

Answer

18

Question 60

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?

Accepted Answer

19

Answer

15

Answer

16

Answer

17

Question 61

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.

Accepted Answer

6

Answer

4

Answer

5

Answer

7

Question 62

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.

Accepted Answer

3

Answer

4

Answer

5

Answer

6

Question 63

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?

Accepted Answer

$30

Answer

$4

Answer

$20

Answer

$10

Question 64

Which situation relates to the graph?

Accepted Answer

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

Answer

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

Answer

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

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