Free Printable 6th- Unit 4 Review

1.

Match the expanded form with the correct exponent.

a)

$4^3$

1.

4x4x4

b)

$4^7$

2.

4x4x4x4x4x4x4

c)

$2^5$

3.

2x2x2x2x2

d)

$5^2$

4.

5x5

e)

$7^4$

5.

7x7x7x7

2.

Simplify $12^2$

(a)

3.

Simplify $9^3$

(a)

4.

Match the Exponent to the Standard Form

a)

$6^2$

1.

36

b)

$2^3$

2.

8

c)

$7^3$

3.

343

d)

$5^4$

4.

625

e)

$10^3$

5.

1,000

5.

Write the following in exponential form:

4 x 4 x 4 x 4 x 4

a)

4⁵

b)

5⁴

c)

4⁶

d)

4⁶

6.

What did you get when you solved this?

a)

22

b)

19

c)

I got a different answer

7.

Which is the correct order of operations?

a)

PEMDAS

b)

DASMPE

c)

PEMASD

d)

SAPMED

8.

Which should you look for FIRST when using the order of operations.

a)

Parenthesis

b)

Multiplication

c)

Division

d)

Addition

9.

Which operation is performed FIRST? (13 - 1) + 4

a)

addition

b)

subtraction

c)

multiplication

10.

Which operation is performed FIRST: 38 + (9 x 6) ÷ 3

a)

addition +

b)

division ÷

c)

multiplication X

11.

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

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

12.

What are the steps to solve the following expression? 50 − 16 ÷ 2

a)

add, multiply

b)

subtract, divide

c)

divide, subtract

d)

subtract, multiply

13.

Do you multiply or divide first?

a)

Multiply

b)

Divide

c)

Go from left to right. Whichever comes first!

14.

Do you add or subtract first?

a)

ADD

b)

SUBTRACT

c)

it depends on which comes first moving left to right.

15.

Which step should be solved first in the following equation?

$\left[8-\left(12\div3\right)+2\right]\times4$

a)

$13+9$

b)

$12\div3$

c)

$3+2$

d)

$2\times4$

16.

What is the value of this expression?

$50-\left(3\times5\right)+\left(2\times4\right)$

(a)

17.

What value is equivalent to this expression?

$20-7\times2+\left(12\div3\right)$

a)

$78$

b)

$30$

c)

$10$

d)

$3$

18.

James wants to save money to buy two new games. He had $35 from his birthday, and he saved $5.20 each week from doing chores. The amount of money that each game costs is represented by the expression below.

$\left[35+4\left(5.20\right)\right]\div2$

(a)

19.

What is the value of the following expression?

$\frac{5}{6}-\left[\frac{1}{3}+\frac{2}{9}\right]$

a)

$\frac{11}{18}$

b)

$\frac{5}{18}$

c)

$\frac{13}{18}$

d)

$\frac{4}{18}$

20.

Which statement is true about the parentheses in this expression?

$5[(14+5)-3\times2]$

a)

The parentheses indicate that 3x2 should be solved first

b)

The parentheses indicate that 14+5 should be last

c)

The parentheses indicate that 14+5 should be solved after 3x2

d)

The parentheses indicate that 14+5 should be solved before 3x2

21.

Brianna is baking some cookies. She used $\frac{1}{2}$ a cup of flour in her first batch. She then makes 3 more batches with 2 cups of flour each. The total amount of flour that Brianna used can be found using the expression below.

$\frac{1}{2}+\left(3\times2\right)$

How much flour did Brianna use?

a)

$6\frac{1}{2}$ cups

b)

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

c)

$7\frac{1}{2}$ cups

d)

$6$ cups

22.

Which statement is true about the parentheses in this expression?

$36\ \div(2\times2)+20$

a)

The parentheses indicate that $36\div2$ should be solved first

b)

The parentheses indicate that

$2+20$ should be solved first

c)

The parentheses indicate that $2\times2$ should be solved first

d)

The parentheses indicate that $2\times2$ should be solved last

23.

Priscilla is packing up her books because she is moving:

~She packs 12 boxes, each with 10 books

~She donated 35 books to the library

~She was given 7 books for her birthday

Which expression can be used to show how many books Priscilla has?

a)

[(12x10)-35]+7

b)

12x10-35-5

c)

(12x10)-(35+7)

d)

(12+10)-35+7

24.

Kevin took $30 to the candy store. He bought three bags of candy for $1.50 each and a tub of cotton candy for $2.60. The amount of change that Kevin receives can be represented using the expression below.

$30-\left[\left(3\times1.50\right)+2.60\right]$

What is amount of change that Kevin received in dollars and cents?

(a)

25.

Which step in the expression should be solved first?

$13\left[7.9+4\left(2.3\right)\right]$

a)

$13\times7.9$

b)

$4\left(2.3\right)$

c)

$7.9+4$

d)

None of the above

26.

Place the operations in order of how you would solve the following equation:

7 x [9 - (6+2)]

(a) (b) (c)

Choose from the below words

Add

Subtract

Multiply

Divide

27.

Place the operations in order of how you would solve the following equation:

(9-5) + (2x3)

(a) (b) (c)

Choose from the below words

Subtract

Multiply

Add

Divide

28.

Reorder the operations into the order of operations steps

a)

Parentheses

b)

Exponets

c)

Multiply/Divide (Left to right)

d)

Add/Subtract (Left to right)

1)

2)

3)

4)

29.

What is the value of the following expression?

$\frac{1}{2}+\left[\frac{3}{4}-\frac{2}{8}\right]$

a)

$2$

b)

$\frac{5}{8}$

c)

$\frac{4}{8}$

d)

$1$

30.

Solve the equation:

$4\times6.80$

a)

27.20

b)

28.30

c)

27.80

d)

24.20

31.

Solve the equation:

$7\times5.95$

(a)

32.

Solve the equation:

$\frac{1}{2}-\frac{1}{6}$

a)

$\frac{4}{6}$

b)

$\frac{4}{12}$

c)

$\frac{1}{3}$

d)

$\frac{3}{6}$

33.

Solve the equation:

$\frac{1}{3}+\frac{1}{4}$

a)

$\frac{7}{24}$

b)

$\frac{4}{12}$

c)

$\frac{1}{12}$

d)

$\frac{7}{12}$

34.

What is the order of the steps for the following expression?

50- 16 x 2 ÷ (12-4)

a)

Subtraction

Multiplication

Division

Parentheses

b)

Parentheses

Multiplication

Division

Subtraction

c)

Parentheses

Subtraction

Multiplication

Division

d)

Multiplication

Division

Subtraction

Parentheses

35.

11 = n + 6; n = 5

a)

Yes

b)

no

36.

y - 6 = 24; y = 18

a)

yes

b)

no

37.

x/9 = 4; x = 36

a)

yes

b)

no

c)

d)

38.

15t = 100; t = 6

a)

yes

b)

no

c)

d)

39.

The sum of a number f and 9 is equal to 38.

a)

f - 9 = 38

b)

9f = 38

c)

f + 9 = 38

d)

38 - 9 = f

40.

The product of 17 and a number n is equal to 102.

a)

17 + n = 102

b)

102n = 17

c)

17 - n = 102

d)

17n = 102

41.

Craig is c years old. His 12-year-old friend Kaitlin is 1/2 year younger than Craig.

a)

c - 1/2 = 12

b)

c + 1/2 = 12

c)

c/2 = 12

d)

12/c = 2

42.

1) SUM is the answer to what type of problem?

a)

subtraction

b)

addition

c)

multiplication

d)

division

43.

2) Which operation would you use to find the PRODUCT?

a)

subtraction

b)

addition

c)

multiplication

d)

division

44.

3) Which is would the the correct expression to find the DIFFERENCE between 25 and 18?

a)

7

b)

25 + 18

c)

25 x 18

d)

25 - 18

45.

4) Which of the following is the answer to a division problem?

a)

sum

b)

difference

c)

quotient

d)

product

46.

1) 3 times the sum of 2 and 5

a)

3 x 2 + 5

b)

3 x (2 + 5)

c)

(3 x 5 ) + 2

47.

2)The difference between 25 and 10 divided by 3

a)

25 - 10 ÷ 3

b)

25 - (10 ÷ 3)

c)

(25 - 10) ÷ 3

d)

3 ÷ (25 - 10)

48.

3) Which of the following does the expression match?

18 ÷ (2 + 4)

a)

18 divided by the sum of 2 and 4

b)

The sum of 2 and 4 divided by 18.

c)

18 divided by 2 and 4.

d)

The difference in 2 and 4 divided by 18.

49.

4) Which of the following does the expression match?

8 + (4 x 2)

a)

8 more than the quotient of 4 and 2.

b)

The difference in the product of 4 and 2 plus 8.

c)

The product of 4 and 2, added to 8.

d)

The sum of 8 and 4 doubled.

50.

5) The quotient of 24 and 3, multiplied by the sum of 5 and 4.

a)

24 ÷ 3 x 5 + 4

b)

(24 ÷ 3) x (5 + 4)

c)

24 ÷ (3 x 5) + 4

d)

(24 x 3) ÷ 5 + 4

51.

What is the sum of 14 and x?

a)

x - 14

b)

14(x)

c)

14 + x

d)

14/x

52.

What is the quotient of sixteen and a number?

a)

n ÷ 6

b)

6 ÷ n

c)

n ÷ 16

d)

16 ÷ n

53.

What is a number decreased by seventeen?

a)

n + 17

b)

n - 17

c)

17 + n

d)

17 - n

54.

What is 5 less than the product of 6 and s?

a)

6s - 5

b)

5 - 6s

c)

5 + 6 - s

d)

6 - s -5

55.

twice h increased by 5

a)

2 + h + 5

b)

h ∙ h + 5

c)

5 ∙ h ∙ 2

d)

2h + 5

56.

the product of y and 7

a)

y x 7

b)

y ∙ 7

c)

y + 7

d)

y ÷ 7

57.

u decreased by 17

a)

17 - u

b)

u - 17

c)

u + 17

d)

u ÷ 17

58.

half of a number, c

a)

c ÷ 2

b)

½ ÷ c

c)

c ÷ ½

d)

c + ½

59.

triple the sum of x and 5

a)

3 + x + 5

b)

3 ∙ x + 5

c)

3(x + 5)

d)

(3x) + 5

60.

Which expression means:
15 miles less than Debbie

a)

d + 15

b)

d - 15

c)

15 - d

d)

15 + d

61.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

62.

Factor in simplest form: 6x + 12

a)

3(2x + 4)

b)

6(x+2)

c)

6x(x+2)

d)

1/2 (3x + 24)

63.

Factor completely: 6x + -3

a)

3(2x + -1)

b)

-2 + -1 + 6 + x

c)

6( -2 + x )

d)

3 ( 1 + 2x)

64.

Write in standard form: -3(2p - 3q)

a)

-6p + 9q

b)

-6p - 9q

c)

6p - 9q

d)

5p +9q

65.

Write in standard form: -5 + 2(1 + 3x)

a)

7 + 3x

b)

-3 -15x

c)

-3 + 6x

d)

7 - 3x

66.

Factor completely: -3 + 6x

a)

-3 (1 + 2x)

b)

-2 + -1 + 6 + x

c)

6( -2 + x )

d)

3 ( 1 + 2x)

67.

Factor completely: 16 + 24x

a)

8 ( 2 + 3x)

b)

4 ( 4 + 7x)

c)

8 ( 2 - 3x)

d)

6 ( 4x + 3)

68.

Simplify by distributing:
3(-6x-3)

a)

18x+9

b)

-18x-9

c)

12x+6

d)

18x-9

69.

Factor:
17xy - x

a)

17(xy - x)

b)

y(17x - x)

c)

x(17y - 1)

d)

Can't be factored

70.

Factor:
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

71.

Factor:
7x + 48y

a)

7(x + 7y)

b)

7(x + y)

c)

can't be factored

d)

7(x + 48y)

72.

Ms. Carmean simplified the expression 3(2x-4) to 6x-4. Is she correct?

a)

Yes

b)

No

73.

True or False?
2x + 6 = 2(x + 3)

a)

True

b)

False

74.

Factor Completely:
24+16q

a)

4(7+4q)

b)

8(3+2q)

c)

4(6q+2)

d)

24(24-16q)

75.

Factor:
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

76.

The coefficients of -9y²+4-2y+5y² are:

a)

-9, -2 and 5

b)

-9

c)

4 and 2

d)

9, 2 and -5

77.

The constants of -9y²+4-2y+5y² are:

a)

-2

b)

-9

c)

5

d)

4

78.

The like terms of -9y²+4-2y+5y² are:

a)

4 and -2

b)

-9y²and 5y²

c)

-9y², -2y , 4 and 5y²

d)

-9y², -2y and 5y²

79.

All of the terms of -9y²+4-2y+5y² are:

a)

-9y²5y²

b)

1, 2y, 3x², 4

c)

-9y²4 -2y 5y²

d)

-2y 5y²

80.

Factoring is the opposite of distributing.

a)

True

b)

False

81.

a)

A

b)

B

c)

C

d)

D

82.

Use the distributive property

4(x-2)

4 lines

83.

What is the simplified version of this expression? $5(a+6)$

a)

$5a+6$

b)

$a+30$

c)

$5a+30$

d)

$5a-30$

84.

What is the simplified version of this expression? $7\left(5x-1\right)$

a)

$35x+7$

b)

$35x-1$

c)

$35x-7$

d)

$-35x-7$

85.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

86.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

87.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

88.

What what is the inverse operation of addition?

a)

addition

b)

subtraction

c)

multiplication

d)

division

89.

Solve
4 = 2 + x

a)

x = 6

b)

x = 2

c)

x = 8

d)

x =-2

90.

Solve
12 = y + 5

a)

y = 17

b)

y = -7

c)

y = 8

d)

y = 7

91.

Solve
1.54 = x - 2.9

a)

x = 4.44

b)

x = 1.36

c)

x = 4.34

d)

x = 1.37

92.

b – 4 = 9

a)

b=5

b)

b=13

c)

b=10

d)

b=-5

93.

8 = c – 4

a)

c=4

b)

c=12

c)

c=10

d)

c=-12

94.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

95.

What is the inverse operation of multiplication?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

96.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

97.

Solve the equation:
4p = 16

a)

p = 12

b)

p = -12

c)

p = -4

d)

p = 4

98.

Solve the equation: 8p = 16

a)

p = 2

b)

p = -2

c)

p = -4

d)

p = 4

99.

$x\div4=4$

a)

4

b)

16

c)

20

d)

1

100.

$\frac{x}{5}=20$

a)

100

b)

120

c)

4

d)

5

101.

n + 4 = 12

a)

16

b)

3

c)

8

d)

7

102.

x - 7 = 2

a)

5

b)

9

c)

7

d)

14

103.

12 = x + 7

a)

5

b)

19

c)

84

d)

6

104.

s - 17 = 87

a)

70

b)

94

c)

60

d)

104

105.

48 = x - 37

a)

85

b)

11

c)

16

d)

75

106.

n - 18 = 3

a)

15

b)

21

c)

54

d)

22

107.

w - 3.4 = 5.5

a)

2.1

b)

8.1

c)

8.9

d)

2,9

108.

41 = 3 + x

a)

44

b)

42

c)

38

d)

71

109.

71 = s + 38

a)

109

b)

47

c)

34

d)

33

110.

m - 432 = 274

a)

158

b)

604

c)

706

d)

86

111.

v - 35 = 44

a)

9

b)

11

c)

79

d)

21

112.

7x = 42

a)

294

b)

6

c)

7

d)

284

113.

9n = 45

a)

6

b)

5

c)

-5

d)

7

114.

x/3 = 9

a)

3

b)

36

c)

4

d)

27

115.

n/12 = 4

a)

3

b)

10

c)

48

d)

36

116.

1/5 n = 40

a)

200

b)

8

c)

10

d)

120

117.

Match the following

a)

Coefficient

1.

a number in front of a variable

b)

Variable

2.

a letter or symbol used to represent an unknown

c)

Constant

3.

a number by itself

d)

Operation

4.

add, subtract, multiply, and divide

e)

Equation

5.

two equivalent expressions

118.

Match the following

a)

x=2

1.

3x=6

b)

x=5

2.

x+5=10

c)

x=12

3.

x/3=4

d)

x=4

4.

x-1=3

e)

x=9

5.

2x=18

119.

All equations have . . .

a)

an addition sign

b)

three variables

c)

a cute puppy

d)

an equal sign

120.

How comfortable are you with solving equations

a)

I got this - I'm a pro!

b)

I need a little more time.

c)

I'm kinda struggling.

d)

I have no idea what I'm doing.

121.

$k+19=10$

a)

k = 190

b)

k = -9

c)

k = 29

d)

k = 10/19

122.

$21\ =\ 14\ +\ x$

a)

x = 7

b)

x = 35

c)

x = 294

d)

x = 1.5

123.

$-14\ =\ j\ -\ 20$

a)

j = -7/10

b)

j = -34

c)

j = 280

d)

j = 6

124.

$y\ -\ 7\ =\ -5$

a)

y = -35

b)

y = 2

c)

y = -12

d)

y = 5/7

125.

$110\ =\ -11m$

a)

m = 99

b)

m = -10

c)

m = 121

d)

m = -1210

126.

$-11p\ =\ -44$

a)

p = -55

b)

p = -33

c)

p = 484

d)

p = 4

127.

$\frac{n}{2\ }=\ -6$

a)

n = -12

b)

n = -4

c)

n = -3

d)

n = -8

128.

$\frac{a}{3}=\ 15$

a)

a = 45

b)

a = 18

c)

a = 12

d)

a = 5

6th- Unit 4 Review

Total questions: 128

Worksheet time: 32hrs 0mins

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