Free Printable Unit 4 Quiz Practice

1.

Translate the following:

a number minus 20

a)

20 - n

b)

n + 20

c)

n - 20

d)

n/20

2.

Evaluate the expression if w = 4, x = 10, y = 28 and z = 7

y - 2x + z

a)

15

b)

25

c)

12

d)

36

3.

Simplify the expression by combining like terms

5 + j + 22 + 10j - 11

a)

12j + 15

b)

9j + 37

c)

11j - 16

d)

11j + 16

4.

Evaluate the expression if a = -2 and b = 10

3a + 2b

a)

26

b)

24

c)

14

d)

18

5.

Evaluate the expression if m = 3, n = 5, and p = 12

2m + n - p

a)

1

b)

4

c)

-1

d)

3

6.

Simplify the expression by combining like terms

8k - 3 + 4k + 7

a)

12k + 4

b)

12k - 10

c)

12k + 10

d)

8k + 4

7.

Evaluate the expression if c = 6 and d = -3

4c - 5d

a)

39

b)

33

c)

27

d)

21

8.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

9.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

10.

Which of the following is equivalent to 9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

11.

Which properties states that you can add or multiply numbers in any order and get the same value?

a)

Identity

b)

Commutative

c)

Associative

d)

Distributive

12.

Which property is demonstrated here?
a + 0 = a

a)

Associative Property of addition

b)

Commutative Property

of addition

c)

Identity Property

of addition

d)

Inverse Property

of addition

13.

Identify the property use to make the expressions equivalent

$\left(x+a\right)+5=x+\left(a+5\right)$

a)

Identity Property of Addition

b)

Commutative Property of Addition

c)

Associative Property of Addition

d)

Distributive Property

14.

Identify the property use to make the expressions equivalent

$10+y=y+10$

a)

Identity Property of Addition

b)

Commutative Property of Addition

c)

Associative Property of Addition

d)

Distributive Property

15.

Identify the property use to make the expressions equivalent

$12p\ •\ 1\ =\ 12p$

a)

Identity

b)

Commutative

c)

Associative

d)

Distributive

16.

Identify the property use to make the expressions equivalent

$4\left(x+y\right)\ =4x+4y$

a)

Identity

b)

Commutative

c)

Associative

d)

Distributive

17.

Identify the property use to make the expressions equivalent

$5\left(2a-3\right)=10a-15$

a)

Identity

b)

Commutative

c)

Associative

d)

Distributive

18.

Are these two expressions equivalent?
6 + 3 and 3 + 6

a)

Yes, because of the associative property

b)

Yes, because of the commutative property

c)

Yes, because of the distributive property

d)

No, these two expressions are not equivalent

19.

Are these two expressions equivalent?
2 • (3 • 7) and (2 • 3) • 7

a)

Yes, because of the associative property

b)

Yes, because of the commutative property

c)

Yes, because of the distributive property

d)

No, these two expressions are not exquivalent

20.

Simplify the expression:

5(y + z)

a)

5y + 5z

b)

5y + z

c)

5z + y

d)

5yz

21.

Which is an example of the Associative Property of Addition?

a)

9 + 0 = 9

b)

(3 + 8) + 5 = 3 + (8 + 5)

c)

4 + 3 = 3 + 4

d)

4 + (2 + 9) = (4 + 9) + 2

22.

Which is an example of the Commutative Property?

a)

(4 + 8) + 7 = 4 + (8 + 7)

b)

5 + 2 = 3 + 5

c)

9 x 1 = 9

d)

6 + 4 = 4 + 6

23.

Which property is shown here?
8 x 1 = 8

a)

Identity Property of Multiplication

b)

Distributive Property

c)

Commutative Property

d)

Associative Property

24.

Which property is shown here? 3+0=3

a)

Identity Property of Addition

b)

Distributive Property

c)

Commutative Property

d)

Associative Property

25.

Which is an example of Associative Property of Addition ?

a)

4 + 0 = 4

b)

6 + (-6) = 0

c)

(3 + 8) + 5 = 3 + (8 + 5)

d)

7 + 3 = 3 + 7

26.

This property tells us that you can move the parentheses when you are multiplying and the answer will not change.

a)

Associative Addition

b)

Associative Multiplication

c)

Commutative Addition

d)

Commutative Multiplication

27.

This property tells us that when we change the order of numbers when we are adding, the answer does not change.

a)

Commutative Addition

b)

Commutative Multiplication

c)

Associative Addition

d)

Associative Multiplication

28.

Simplify the expression completely.

3z+9+5z-4

a)

$8z+5$

b)

$8z+13$

c)

$13z$

d)

$21z$

29.

15. Simplify the following expression:

-7x +5 (1 - 8x)

a)

-33x + 5

b)

5 + 33x

c)

47x + 5

d)

5 - 47x

30.

14. Combine like terms

3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

31.

10. Simplify:

$9\left(6+7v\right)+6v$

a)

$63v+54$

b)

$54+69v$

c)

$63+13v$

d)

$-63v$

32.

7. Expand and simplify

$3\left(2a+5\right)+5\left(a-2\right)$

a)

$11a+5$

b)

$6a+15$

c)

$11a-5$

d)

$6a+15+5a-10$

33.

5. Simplify by combining like terms: 5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

34.

a number more than 12

a)

n + 12

b)

12n

c)

12 + n

d)

12 - n

35.

The product of seven and j

a)

7j

b)

j+7

c)

j-7

d)

$\frac{j}{7}$

36.

Five times Mike's age, increased by nine

a)

5(x+9)

b)

9(5+x)

c)

9x+5

d)

5x+9

37.

the difference of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

$3\div7n$

38.

5 more than the product of 7 and s

a)

7s + 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

39.

The difference of a number and 8

a)

8 - n

b)

8n

c)

n - 8

d)

8 x n

40.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

41.

The quotient of a number and 15

a)

15 x n

b)

n + 15

c)

15 - n

d)

$\frac{n}{15}$

42.

15 less than a number x

a)

15 - x

b)

x + 15

c)

15 + x

d)

x - 15

43.

A number d decreased by 9

a)

9 - d

b)

d - 9

c)

9d

d)

d - 8

44.

A number h increased by 12

a)

12h

b)

12 + h

c)

h - 12

d)

h + 12

45.

The sum of x and 15

a)

x + 15

b)

15x

c)

15 - x

d)

$15\div x$

46.

12 times the sum of a and b

a)

a + b - 12

b)

12 x a = b

c)

12(a+b)

d)

12 x a - b

47.

5 times a number, minus 8

a)

5m - 8

b)

5(m + 8)

c)

8m + 5

d)

8(m + 5)

48.

46 less than a number

a)

46 - n

b)

n - 46

c)

46 + n

d)

n + 46

49.

The product of 6 and y..

a)

6 + y

b)

6y

c)

y - 6

d)

y / 6

50.

the product of x and sixteen

a)

x + 16

b)

x - 16

c)

16x

d)

x/16

51.

Translate the following expression: 6 less than the product of 10 and a number

a)

6 - 10n

b)

10n - 6

c)

6 + 10n

d)

6 ÷ 10n

52.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

53.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

54.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

55.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

56.

What word or words tell you to multiply?

Select ALL that apply.

a)

times

b)

difference

c)

product

d)

double

57.

What word or words tell you to divide?

Select ALL that apply.

a)

half

b)

quotient

c)

product

d)

double

58.

Evaluate n³ if n = 4

a)

12

b)

16

c)

32

d)

64

59.

6a - 3d
when a = 1, d = 2

a)

3

b)

12

c)

1

d)

0

60.

Evaluate the expression when
x =5 and z = 4
z²- 2x

a)

6

b)

2

c)

17

d)

26

61.

Evaluate the expression. Let g = 3 & h = 9, what is
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

62.

8y + 12 - 2z
for y = 4 and z = 2

a)

40

b)

20

c)

84

d)

34

63.

Evaluate when x = 2 and y = 5:
2 + (12 - 5x) ⋅ 2y

a)

22

b)

40

c)

142

d)

-86

64.

Which property is shown in the picture?

a)

Commutative Property of Mulitpication

b)

Inverse Property of Addition

c)

Inverse Property of Multiplication

d)

Identity Property of Multiplication

65.

Distribute and Simplify completely.

a)

7x + 1

b)

7x + 10

c)

15x + 20

d)

33x + 1

66.

Distribute and simplify completely.

a)

9k + 4

b)

18K + 3

c)

18K + 4

d)

9K + 7

67.

Write this expression in words.

n - 14

a)

Fourteen minus a number

b)

The difference of 14 and a number

c)

A number decreased by fourteen

d)

A number subtracted from 14

68.

Write the expression in words.

a)

One fourth of a number

b)

A number divide by one fourth

c)

The sum of one fourth and a number

d)

The quotient of one fourth and a number

69.

The total of 15 and a number

a)

15/P

b)

15P

c)

15 - P

d)

15 + P

70.

A number divided by 9

a)

n - 9

b)

n + 9

c)

n/9

d)

9n

71.

When you are asked to "find the difference" you...

a)

Add

b)

Multiply

c)

Divide

d)

Subtract

72.

What operation do you preform when you read these phrases?

difference

decreased by

less than

a)

Subtraction

b)

Addition

c)

Multiplication

d)

Division

73.

What operation do you preform when you read these phrases?

Combined

Increased by

More than

a)

Division

b)

Multiplication

c)

Subtraction

d)

Addition

74.

What operation do you use when you read these phrases?

Quotient

Divided by

Half

Separated

a)

Multiplication

b)

Addition

c)

Division

d)

Subtraction

75.

The phrase "increased by" means...

a)

+

b)

-

c)

x

d)

/

76.

Which represents the expression below?

2n + 5

a)

2 more than a number more than 5

b)

2 more than 5 times a number

c)

2 times a number increased by 5

d)

a number decreased by 5 times 2.

77.

Translate this expression: three less than twice a number x

a)

3-2x

b)

3-2+x

c)

2+x-3

d)

2x-3

78.

What does the word product mean?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

79.

What does the word quotient mean?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

80.

Translate: 12 less than the product of b and 2

a)

$12-\frac{b}{2}$

b)

$2b-12$

c)

$2+b-12$

d)

$12-b+2$

81.

the difference between forty-six and a number

a)

46 x n

b)

46/n

c)

n-46

d)

46 − n

82.

46 less than a number

a)

46 - n

b)

n - 46

c)

46 + n

d)

n + 46

83.

"Subtracted from" and "less than" are terms that mean you need to "turn" or "flip" the terms around.

a)

True

b)

False

84.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

85.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

86.

$Evaluate\ 4c\ +\left(4d\ +3\right)^2\ for\ c=2\ and\ d=1$

a)

21

b)

57

c)

225

d)

125

87.

A letter used to represent a number value in an expression or an equation

a)

term

b)

coefficient

c)

constant

d)

variable

88.

Combination of numbers, operations, and variables which can be evaluated for a given value of the variables

a)

equation

b)

expression

c)

term

d)

coefficient

89.

A number that does not change (it stands alone without any variable attached)

a)

constant

b)

coefficient

c)

variable

d)

term

90.

A coefficient is __________.

a)

the variable

b)

a constant

c)

an exponent

d)

the number that comes before the variable

91.

Simplify the expression by using the Distributive Property:

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

92.

What does it mean to distribute?

a)

To multiply the numbers inside the parentheses by the number on the outside.

b)

To add all of the numbers together.

c)

To do the order of operations.

93.

Simplify the expression by using the Distributive Property:

9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

94.

Simplify the expression by using the Distributive Property:

3(2h + 3c + 2)

a)

6h + 9c + 2

b)

6h + 9c + 6

c)

2h + 3c + 6

d)

5h + 6c + 5

95.

Simplify the expression by using the Distributive Property:

6(x - 3 + 5y)

a)

6x + 18 - 30y

b)

6x 18 30y

c)

6x + 18 + 30y

d)

6x - 18 + 30y

96.

Simplify the expression by using the Distributive Property:

8(2x + 7)

a)

16x + 7

b)

16x + 56

c)

16x + 15

d)

8x + 7

97.

Rewrite using the Distributive Property: 15(9 + 2)

a)

(15x9) + (15x2)

b)

(15+9) x (15+2)

c)

(15x9) x (15x2)

d)

(15x9) + (15+2)

98.

What does the Distributive Property mean?

a)

states that for any numbers a, b, and c, the equation a(b + c) = ab + ac is true.

b)

states that for any numbers a, b, and c, the equation a(b + c) = ab x ac is true.

c)

states that for any numbers a, b, and c, the equation a(b + c) = a + b + a + c is true.

d)

states that for any numbers a, b, and c, the equation a(b + c) = a - b + ac is true.

99.

(1 + 3) + 4 = 1 + ( 3 + 4)

a)

Commutative Property of Multiplication

b)

Commutative Property of Addition

c)

Associative Property of Multiplication

d)

Associative Property of Addition

100.

"Change Order"

a)

Commutative Prop.

b)

Associative Prop.

c)

Distributive Prop.

d)

Inverse Prop.

101.

A symbol for a number we don't know yet. This is usually a letter.

a)

coefficient

b)

sum

c)

variable

d)

term

102.

The number you see before a variable (example: 6x, the 6 is the ________).

a)

coefficient

b)

variable

c)

term

d)

product

103.

Determine which choice best shows the commutative property of multiplication.

a)

1x1=1

b)

(1x7)+(1x6)=

c)

1x7=7x1

d)

(1x7)x6=1x(7x6)

104.

Determine which choice best shows the commutative property of addition.

a)

$2+4=4+2$

b)

$2=2$

c)

$2+4=6$

d)

$2+4=6-2$

105.

Determine which choice best shows the distributive property.

a)

$2\left(3+4\right)=2\cdot3+2\cdot4$

b)

$2+\left(3+4\right)=\left(2+3\right)+4$

c)

$2\cdot3=3\cdot2$

d)

$2+3=3+2$

106.

What is the coefficient of x?

a)

0

b)

1

c)

-x

d)

x

107.

Use the distributive property to rewrite the given expression.

2\left(x+y\right)

a)

$2x+2y$

b)

$2x-2y$

c)

$2xy$

d)

$2x+y$

Unit 4 Quiz Practice

Total questions: 107

Worksheet time: 6hrs 27mins

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