Free Printable ACA Quiz 4.4 Review

1.

The graph for this type of relationship always intersects the origin.

a)

Positive Relationship

b)

Multiplicative Relationship

c)

Additive Relationship

d)

Negative Relationship

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

A

b)

B

c)

C

d)

D

5.

a)

Additive

b)

Multiplicative

6.

a)

Additive

b)

Multiplicative

7.

a)

Additive

b)

Multiplicative

8.

a)

Additive

b)

Multiplicative

9.

a)

y = 2x

b)

y = 2 + x

10.

a)

Line A

b)

Line B

11.

a)

Graph

b)

Table

12.

a)

Line A

b)

Line B

13.

Which graph represents the equation y = 3x?

a)

b)

c)

d)

14.

Which table corresponds with this graph?

a)

b)

c)

d)

15.

What is the correct equation for a multiplicative relationship?

a)

y = x + 2

b)

x = y + 2

c)

y = 2x

d)

x=2y

16.

The total number of markers, m, contained in p packages can be represented by the equation m = 8p. Which of the following tables best represents this situation?

a)

b)

c)

d)

17.

Based on the graph, which statement is true?

a)

A. The cost is the dependent variable.

b)

B. The flat fee is the dependent variable.

c)

C. The number of people is the dependent variable.

d)

D. The number of zoo exhibits is the dependent variable.

18.

1. Graph 1 and Graph 2 represent relationships that have different rules. Based on the information in Graph 1 and Graph 2, which statement is true?

a)

Graph 1 represents a multiplicative relationship because the graph includes the ordered pair (0, 0).

b)

Graph 1 represents an additive relationship because the graph does not include the ordered pair (0, 0).

c)

Graph 2 represents a multiplicative relationship because the graph includes the ordered pair (0, 0).

19.

What kind of relationship is this?

a)

Additive

b)

Multiplicative

20.

The ____-axis represents the independent quantity.

a)

x

b)

y

21.

The ____-axis represents the dependent quantity.

a)

x

b)

y

22.

Which equation represents the relationship of the values in the table?

a)

y = x + 6

b)

y = 6 - x

c)

y = x + 3

d)

y = 3x

23.

Which expression best represents the relationship between cars and minutes?

a)

x + 4

b)

2x

c)

x + 5

d)

x - 5

24.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

25.

Which list shows the independent quantities?

a)

1, 2, 3

b)

70, 80, 90

c)

1, 2, 3, 70, 80, 90

d)

70, 160, 270

26.

What kind of relationship is seen in the graph above?

a)

Additive

b)

Multiplicative

27.

A student carries a backpack that weighs 10 pounds. They also carry an instrument that weighs x pounds. Which equation represents the total weight?

a)

y = 10x

b)

y = 10/x

c)

y = 10 + x

d)

y = 10 - x

28.

Which table represents the relationship in the graph above?

a)

b)

c)

d)

29.

The number of dimes in a collections is 5 less than the number of quarters.

Which table shows possible numbers of dimes and quarters in the collection?

a)

A

b)

B

c)

C

d)

D

30.

Which list below shows the dependent quantities?

a)

0, 1, 2, 3, 4, 5

b)

0, 5, 10, 15, 20

c)

10, 20, 60, 80, 100

d)

None of the above

31.

What kind of relationship is seen in the table above?

a)

Additive

b)

Multiplicative

32.

Which values are your inputs?

a)

y- values

b)

x-values

33.

Identify the independent variable:

The amount of money, m, earned if t raffle tickets are sold

a)

money, m

b)

tickets, t

34.

Which list below shows the dependent quantities?

a)

0, 1, 2, 3, 4, 5

b)

0, 5, 10, 15, 20

c)

10, 20, 60, 80, 100

d)

None of the above

35.

Which list shows the independent quantities?

a)

1, 2, 3

b)

70, 80, 90

c)

1, 2, 3, 70, 80, 90

d)

70, 160, 270

36.

Which equation matches the table?

a)

y = x + 4

b)

y = 5x

c)

y = x - 4

d)

y = x + 16

37.

Translate each verbal phrase.

"Sum of X and 3 is 5"

a)

X = 3 + 5

b)

3 + 5 = X

c)

X + 3 = 5

d)

I don't know.

38.

Translate each verbal phrase.

"n minus 2 is equal to 16"

a)

n = -2 + 16

b)

2 + 16 = n

c)

16 = n -2

d)

n - 2 = 16

39.

Which statement describes the relationship between x and y in these two equations?

Y = x - 2

Y = 2x

a)

In y = x - 2 and in y = 2x, the value is 2 less than the value of x.

b)

In y = x - 2 and in y = 2x, the value is 2 times the value of x.

c)

In y = x - 2, the value of y is 2 less than x, and in y = 2x, the value of y is twice the value of x.

d)

In y = x - 2, the value of y is 2 times the value of x, and in y = 2x, the value of y is 2 less than the value of x.

40.

Which equation best represents the relationship in this table?

a)

y = 9.6x

b)

y = 10.6x

c)

y = 9.6

d)

y = x + 9.6

41.

Which situation can be represented by the equation y = 12x?

a)

A factory uses a total of Y gallons of water at a rate of 12 gallons per hour for X hours.

b)

A bakery serves a total of Y cakes in one day, in which 12 cakes are served during the first hour and X meals are served during the remaining hours.

c)

A restaurant prepares a total of Y batches of pizza sauce from 12 pounds of tomatoes, with each batch weighing X pounds.

d)

A company manufactures a total of 12 plates every hour, with X of the plates made are blue and Y of the plates are green.

42.

Which equation represents the table?

a)

b)

c)

d)

43.

Jose travelled at a rate of 0.25 miles per minute. Which equation represents this relationship?

(Remember you can convert a fraction into a decimal, if needed)

a)

y = ^x/₄

b)

y = x + 0.25

c)

y = ¹⁄₄x

d)

y = 0.25

44.

15 + 7 × 2 – 11 + 35=

a)

38

b)

251

c)

53

d)

50

45.

(7 + 41) ÷ 2 – 15 =

a)

19

b)

9

c)

25

d)

3

46.

18 + (6 – 2) × 2 =

a)

26

b)

29

c)

44

d)

40

47.

What would be my first step? 3 + 4 x 6 - 4 =

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

48.

(9 + 23) ÷ (5 - 3) =

a)

16

b)

32

c)

15

d)

12

49.

18 − 4 × 2 =

a)

28

b)

16

c)

10

d)

12

50.

_{18 + 2 x 4 =}

a)

80

b)

26

c)

24

d)

13

51.

Solve.
25 - 14 + 3 =

a)

14

b)

8

c)

11

d)

10

52.

12 - 4 x 2 =

a)

16

b)

4

c)

8

d)

18

53.

10 + 45 ÷ 9 -(14 ÷ 2) =

a)

9

b)

8

c)

53

d)

18

54.

7 x (7 - 4) ÷ 3 =

a)

8

b)

6

c)

7

d)

5

55.

(4 x 8) - (9 + 7) =

a)

16

b)

25

c)

41

d)

32

56.

Pick the correct order for Order of Operations

a)

Parentheses, Multiplication, Division, Addition, Exponents, Subtraction

b)

Exponents, Multiplication, Division, Addition, Parentheses, Subtraction

c)

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

57.

Which operation would you do first?

( 12 + 10) ÷ 10 x 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

58.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

59.

$5^2-10\div2\times4$

a)

4

b)

5

c)

80

d)

160

60.

$8^2-7^2$

a)

5

b)

2

c)

15

d)

1

61.

6³– 10 ÷ 5

a)

1.6

b)

200

c)

41.2

d)

214

62.

(7 + 41) ÷ 2 – 15

a)

19

b)

9

c)

25

d)

3

63.

Which operation would you do first?

(12 + 10) ÷ 10 · 14 - 6

a)

Division

b)

Multiplication

c)

Addition (parentheses)

d)

Subtraction

64.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

65.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

66.

-2 ⋅ (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

67.

8²- 20 ÷ 2 x 5

a)

14

b)

10

68.

Simplify the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

69.

Simplify the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

70.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

71.

56¹= ?

a)

56

b)

0

c)

1

d)

65

72.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

73.

Which is equivalent to 4 x 4 x 4 x 4 x 4

a)

4⁶

b)

5⁴

c)

4⁴

d)

4⁵

74.

5⁴=

a)

20

b)

625

c)

1024

75.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

76.

What operation do you use with exponents?

a)

addition

b)

subtraction

c)

multiplication

d)

division

77.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 ?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

78.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

79.

How would you represent 8⁶ ?

a)

8 x 6

b)

8 x 8 x 6

c)

8 x 8 x 8 x 8 x 8 x 8

d)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

80.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

81.

7⁰ = ?

a)

1

b)

7

c)

0

d)

-7

82.

Which is equivalent to 3^{4 ?}

a)

27

b)

9

c)

81

d)

12

83.

Which is equivalent to 2⁴

a)

8

b)

20

c)

16

d)

12

84.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

d)

not here

85.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

d)

not here

86.

56¹= ?

a)

56

b)

0

c)

1

d)

65

87.

10³

a)

10

b)

100

c)

1000

d)

30

88.

Write 36 as the product of it's prime factors...

a)

2 x 2 x 3 x 3

b)

2 x 2 x 2 x 3

c)

2² x 3²

d)

2² x 3

89.

2 x 2 x 2 or 2³is the prime factorization of

a)

6

b)

12

c)

22

d)

8

90.

Using a Factor Tree, find the prime factorization of 75.

a)

5² x 3

b)

5 x 5 x 3

c)

3² x 5

d)

15 x 5

91.

If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?

a)

2⋅3⋅5⋅7

b)

2³⋅3²⋅5⋅7

c)

2²⋅3²⋅5⋅7

d)

8⋅9⋅35

92.

What is the Prime Factorization of 144?

a)

2⁴x 3²

b)

2²x 3⁴

c)

2⁴x 3⁴

d)

2² x 3 x 3²

93.

Use a factor tree to find the prime factorization of 45

a)

3 x 3 x 5

b)

3 x 5 x 4

c)

3 x 2 x 8

d)

9 x 5

94.

Which group are ALL prime numbers?

a)

1,2,3,4,5

b)

2,4,6,8,10

c)

2,3,5,7,11,13

d)

2,3,5,7,9,11

95.

Use a number tree to find the prime factorization of 18

a)

3x2x2

b)

3x3x3

c)

33x3

d)

3x3x2

96.

Name the property shown by the following statement. 4 x 1 = 4

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Multiplication Property of One (Identity)

97.

Name the property shown by the following statement. 4 x 5 = 5 x 4

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Addition Property of Zero (Identity)

98.

Name the property shown by the following statement. 3(2a - 3) = 6a - 9

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Multiplication Property of One (Identity)

99.

Name the property shown by the following statement. 6(2 + z) = 12 + 6z

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Multiplication Property of One (Identity)

100.

Name the property shown by the following statement. a(bc) = (ab)c

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Multiplication Property of One (Identity)

101.

Evaluate expression if a=3 and b=4

4b-5a

a)

2

b)

1

c)

-8

d)

8

102.

Evaluate expression if a=3 and b=4

18 ÷ 2a

a)

3

b)

2.25

c)

27

d)

9

103.

Evaluate Expression x=7, y=15, z=8

9y ÷ (2x+1)

a)

5

b)

10

c)

9

d)

19

104.

Evaluate expression a=3, b=4

ab ÷ 3

a)

3

b)

12

c)

4

d)

20

105.

Find an equivalent expression for the given expression: 36x + 24

a)

4(9x + 7)

b)

4(9x + 8)

c)

2(18x + 12)

d)

12(3x + 3)

106.

Which expression represents twice the quantity of 11 less than k.

a)

11 -k

b)

k - 11

c)

2k - 11

d)

2(k-11)

107.

Choose the equivalent expression for the given expression: 2(r + y)

a)

3ry

b)

2r + y

c)

2r + 2y

d)

3r + 3y

108.

Use the distributive property to find an equivalent expression: 5(2f + 4)

a)

10f + 4

b)

10f + 9

c)

10f + 20

d)

30f

ACA Quiz 4.4 Review

Total questions: 108

Worksheet time: 2hrs 48mins

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