Free Printable Unit 1 Review

1.

What is the simplified form of this expression
3x+4+5x+3

a)

15x

b)

8x+7

c)

7x+8

2.

Add these expressions
(3x+15) + (4x+13)

a)

7x+ 28

b)

35x

c)

x+2

3.

Solve
-5t + 9 = 24

a)

t = -3

b)

t = 3

c)

t = 6

d)

t = 12

4.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

5.

Evaluate the expression. Let c = 3 d = 2
3c + 7d

a)

27

b)

21

c)

29

d)

23

6.

What is the first step to solve this equation:
11 - 3x = 44

a)

Subtract 11 from both sides

b)

Divide - 3 on both sides

c)

Add 3 to both sides

d)

Add 11 to both sides

7.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

8.

Identify the coefficient(s) in the expression 2x + 4 - x + 3x,

a)

4

b)

x

c)

2 and 3

d)

2, 4, and 3

9.

Which phrase matches the expression
y - 6

a)

6 decreased by a number, y

b)

A number, y, decreased by 6

c)

6 minus a number, y

10.

Identify the variable(s) in the following expression 5x + 1 + 3x² + 7

a)

x

b)

5x and 3x²

c)

x and x²

d)

1 and 7

11.

Which of the following are expressions? (Select all that apply.)

a)

3x + 4

b)

twelve is three more than nine

c)

the difference of x and 8

d)

2y

12.

Which of the following are true about an equation?

a)

Contains an equal sign

b)

May contain variables

c)

Has many solutions

d)

Shows two expressions are equal

13.

A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.

a)

Variable

b)

Algebraic Expression

c)

Constant

d)

Coefficient

14.

A letter or symbol used to represent a number or quantities that vary

a)

constant

b)

coefficient

c)

variable

d)

term

15.

A number, a variable, or a product of numbers and variables.

a)

term

b)

variable

c)

sum

d)

coefficient

16.

Solve:

5x + 4 = 5x − 3

a)

x = 4

b)

x = -3

c)

infinitely many solutions

d)

no solutions

17.

Solve:

2y − 3 = 2y − 3

a)

y = 0

b)

y = -3

c)

infinitely many solutions

d)

no solutions

18.

Solve:

4x + 1 = 8x − 3

a)

x = 1

b)

x = 2

c)

infinitely many solutions

d)

no solutions

19.

Solve:

3(x − 2) = 3x − 6

a)

x = 6

b)

x = -6

c)

infinitely many solutions

d)

no solutions

20.

Solve:

6(y + 4) = 6y + 10

a)

y = 10

b)

y = 24

c)

infinitely many solutions

d)

no solutions

21.

What does it mean when an equation has one solution?

a)

the equation is always TRUE when any value is substituted in for the variable

b)

the equation will NEVER be true when any value is substituted in for the variable

c)

only ONE solution will make the equation true

22.

What does it mean when an equation has infinitely many solutions?

a)

"To infinity and beyond"

b)

the equation is always TRUE when any value is substituted in for the variable

c)

the equation will NEVER be true when any value is substituted in for the variable

d)

only ONE solution will make the equation true

23.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

24.

What is the solution to the equations?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

25.

^{Find the solution to the equation:}
^{-13 + 5a = 3(a - 3)}

a)

a = 5

b)

a = 9

c)

a = 0

d)

a = 2

26.

Find the solution to the equation:
^{6n + 5(2n - 6) = 6n - 30}

a)

n = 0

b)

n = 8

c)

Many Possible Solutions

d)

No Possible Solutions

27.

Find the solution to the equation:
2(5b - 3) = 6b + 6

a)

b = 12

b)

b = 3

c)

b = (-7)

d)

No Possible Solutions

28.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

29.

Solve the equation:
3(x - 1) = 2x + 9

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

30.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

31.

Solve:
30 + 6t = 11t

a)

3

b)

5

c)

6

d)

30

32.

Solve for x:
4(1-x) + 3x = -2(x+1)

a)

x = -6

b)

x = 6

c)

x = 3

33.

Solve:
2(4x-3) - 8 = 4 + 2x

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

34.

Solve:
5y + 34 = -2(-7y+1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

35.

Solve the equation:
-8x - 8 + 3(x-2) = -3x + 2

a)

x = -8

b)

x = 8

c)

x = 2

d)

x = -2

36.

Identify the property of equality.
If 9=x, then x=9

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Substitution

37.

What is Addition property of equality

a)

a. If a=b, then a+c=b+c

b)

b. If a=b, then a-c=b-c

c)

c. If a=b, then ac=bc

d)

d. If a=b, then a/c=b/c

38.

Identify the property used here:
39=39

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Substitution

39.

Simplify the expression with the distributive property
6(x + 3)

a)

6x + 3

b)

6x + 18

c)

x + 3

d)

9x

40.

What is usually the 1st statement in reason column of a proof?

a)

Prove

b)

Given

c)

Reason

d)

Statement

41.

Step 2 is what

a)

Substitution property (simplify)

b)

Multiplication property of equality

c)

Division property of equality

d)

Distributive Property

42.

Step 1 is what

a)

addition property of equality

b)

given

c)

subtraction property of equality

d)

prove

43.

What is reason 2?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

44.

For any numbers a, b, and c, if a = b and b = c, then a = c.

a)

Transitive Property

b)

Symmetric Property

c)

Reflexive Property

d)

Substitution Property

45.

What is reason 1?

a)

Subtraction Property of Equality

b)

Transitive Property of Equality

c)

Given

d)

Prove

46.

What is step 6

a)

Subtraction property of equality

b)

Addition property of equality

c)

Division property of equality

47.

What is reason 5?

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Prove

48.

What is reason 3?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

49.

What is reason 4?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

50.

Step 1 is what

a)

addition property of equality

b)

given

c)

subtraction property of equality

d)

prove

51.

.

a)

Addition Property of Equality

b)

Reflexive Property of Equality

c)

Angle Addition Postulate

d)

Transitive Property of Equality

52.

What is step 6

a)

Subtraction property of equality

b)

Addition property of equality

c)

Division property of equality

53.

Which property is illustrated below?

5(x + 2) = 5x + 10

a)

Multiplication Property

b)

Like Terms

c)

Addition Property

d)

Distributive Property

54.

Which property says that if k = 3, then 3 = k?

a)

Substitution Property

b)

Reflexive Property

c)

Symmetric Property

d)

Transitive Property

55.

Which property states that if 2x = 14, then x = 7?

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

56.

Which property states that 4 = 4?

a)

Substitution Property

b)

Reflexive Property

c)

Symmetric Property

d)

Transitive Property

57.

Which property is shown in the equations below?

If a=b and b=7, then a=7.

a)

Transitive Property

b)

Symmetric Property

c)

Reflexive Property

58.

Which property is shown below?

10 = x so x = 10

a)

Transitive Property

b)

Symmetric Property

c)

Reflexive Property

59.

Which property is shown below?
A = A

a)

Transitive Property

b)

Symmetric Property

c)

Reflexive Property

60.

Which property is shown here?

a)

Addition Property

b)

Subtraction Property

c)

Division Property

d)

Multiplication Property

61.

Which property is shown here?

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

62.

Which property is shown here?

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

63.

a)

Subtraction Property

b)

Addition Property

c)

Multiplication Property

d)

Division Property

64.

Which property is shown here?

a)

Transitive Property

b)

Like Terms

c)

Substitution

d)

Distributive Property

65.

Which property is shown here?

a)

Substitution

b)

Transitive Property

c)

Reflexive Property

d)

Like Terms

66.

Which property says that if k = 3, then 3 = k?

a)

Substitution Property

b)

Reflexive Property

c)

Symmetric Property

d)

Transitive Property

67.

Which property states if 7m = 35, then 7m + 4 = 35 + 4?

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

68.

If a=b, then 8a=8b

a)

Multiplication Property

b)

Division Property

c)

Reflexive Property

d)

Addition Property

69.

What is always the 1st statement in reason column of a proof?

a)

Prove

b)

Given

c)

Reason

d)

Statement

70.

Simplify the expression with the distributive property.
6(x + 3)

a)

6x + 3

b)

6x + 18

c)

x + 3

d)

9x

71.

x + y = 50

a)

expression

b)

equation

72.

The numbers by themselves are called ___________

a)

constants

b)

coefficients

c)

exponents

d)

terms

73.

Which is an example of a variable in the following equation?
9g + 3 = 60

a)

9

b)

g

c)

3

d)

60

74.

A variable is used to represent a number.

a)

True

b)

False

75.

Which equation has 5 terms?

a)

6x + 8 = 2x

b)

6 + 4.7 - 9y = 3y + 1

c)

125x = 14

d)

2x + 3 = 7 + x

76.

What is the "7m" in this expression?
7m - 9

a)

Expression

b)

Variable

c)

Coefficient

d)

Term

77.

A mathematical sentence stating that two expressions are equal.

a)

expression

b)

equation

78.

Equations must have an

a)

≠

b)

=

c)

≤

d)

≥

79.

A number on its own

a)

term

b)

constant

c)

coefficient

d)

variable

80.

a symbol for an unknown value

a)

term

b)

operator

c)

variable

d)

coefficient

81.

Is the following a expression
5W

a)

yes

b)

no

82.

How many terms in the following expression:
5x + 3y - 15 + x

a)

1

b)

2

c)

3

d)

4

83.

2x + 3y + 5x = 75

a)

coefficeient

b)

constant

c)

terms

d)

variables

84.

2x + y = 1

a)

coeffiecient

b)

term

c)

variable

d)

constant

85.

y + 5x - 10

a)

coefficient

b)

terms

c)

variables

d)

constant

86.

x + y

a)

expression

b)

equation

87.

x + y = 50

a)

expression

b)

equation

88.

2 + (9²- 4)

a)

16

b)

77

c)

79

89.

6 + (4)3

a)

18

b)

30

c)

13

d)

42

90.

(10 + 2) ×10-3

a)

145

b)

27

c)

117

d)

53

91.

90 - 5² × 3

a)

15

b)

240

c)

195

92.

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

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

93.

18 + (6 – 2) × 2

a)

26

b)

29

c)

44

d)

40

94.

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

95.

2x + 5(y - 1) when x=8 and y=5

a)

20

b)

31

c)

36

d)

-4

96.

Solve 8+ (5)(4) - (6+10-2) + 44

a)

42

b)

58

c)

71

d)

numbers

97.

Solve 7 + 3 x 5

a)

22

b)

50

c)

735

98.

Solve 1(-7 + 2 (3+2) - 5)²

a)

9

b)

5

c)

4

d)

6

99.

Which operation is performed FIRST?

(13 - 1) + 4

a)

addition

b)

subtraction

c)

multiplication

d)

addition

100.

Which operation is performed SECOND?

44 ÷ 2 X (3 -1)

a)

muliplication X

b)

division ÷

c)

subtraction -

d)

Addition

101.

What does the E in PEMDAS stand for?

a)

Exceptional

b)

Egg

c)

Exponent

d)

Empty

102.

Which operation is performed FIRST?

25 x (3-1)

a)

multiplication

b)

subtraction

c)

division

d)

addition

103.

Which operation is performed SECOND?

44 ÷ 2 X (3 -1)

a)

muliplication X

b)

division ÷

c)

subtraction -

d)

addition

104.

Simplify:

3[16 - (3 + 7) ÷ 5]

a)

3

b)

7.6

c)

42

d)

3.6

105.

Simplify:

24 ÷ 4 ⋅ 2 + (3²- 1 + 6)

a)

5

b)

14

c)

17

d)

26

106.

Simplify:

14 - 8 + 4 ⋅ 2³

a)

60

b)

38

c)

30

d)

12

107.

When did they make an error?

a)

Combining like terms

b)

Distributing

c)

Dividing

d)

They made no errors

108.

a)

Distributing

b)

Subtracting

c)

Dividing

d)

They made no error

109.

a)

Subtracting

b)

Dividing

c)

Distributing

d)

They made no error

110.

a)

Adding

b)

Distributing

c)

Subtracting

d)

Dividing

111.

a)

Adding

b)

Distributing

c)

Dividing

d)

They made no error

112.

What is step 2?

a)

Given

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Multiplication Property of Equality

e)

Addition Property of Equality

113.

Step 2 is what

a)

Substitution property (simplify)

b)

Multiplication property of equality

c)

Division property of equality

d)

Distributive Property

114.

Which step has the mistake?

a)

Step 1

b)

Step 2

c)

Step 3

d)

No mistakes

115.

Which step has the mistake?

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

e)

No mistakes

116.

Which step has the mistake?

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

e)

No mistakes

117.

Which step has the mistake?

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

e)

Step 5

118.

Which step has the mistake?

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

e)

No mistake

119.

Which step has the mistake?

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

e)

No mistake

120.

Which step has the mistake?

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

e)

Step 5

121.

Simplify.
$\left(3m^4-6m^2-4m\right)+\left(7m^4-6m^2-5m\right)$

a)

$10m^4-14m^2-9m-6$

b)

$10m^4-12m^2-9m-6$

c)

$10m^4-14m^2-9m-8$

d)

$10m^4-12m^2-9m$

122.

Simplify.
$\left(8+6k-5k^2\right)-\left(8-7k^4+3k\right)$

a)

$6k^4-10k^2+3k$

b)

$6k^4-5k^2+3k$

c)

$6k^4-10k^2$

d)

$7k^4-5k^2+3k$

123.

Simplify.
$\left(6v^4-7v+1\right)+\left(1-6v^4-7v\right)$

a)

$-14v+2$

b)

$-9v+2$

c)

$-9v+10+2v^4$

d)

$-9v+10$

124.

Simplify.
$\left(m^2-m+3\right)-\left(2m-6-m^2\right)$

a)

$-10m^2-3m+9$

b)

$-5m^2-3m+9$

c)

$-10m^2-4m+9$

d)

$2m^2-3m+9$

125.

Simplify.
$\left(6k^2-7k^4-6k\right)+\left(6k+5k^4+7\right)$

a)

$-3k^4+6k^2+8$

b)

$-2k^4+6k^2+7$

c)

$-2k^4+6k^2+8$

d)

$k^4+6k^2+8$

126.

Simplify.
$\left(3a-1+a^2\right)-\left(7a^2-5a+7\right)$

a)

$-6a^2+8a$

b)

$2a^2+8a+7$

c)

$-6a^2+8a+7$

d)

$-6a^2+8a-8$

127.

Simplify.
$\left(3x^3+x^4+6x^2\right)+\left(7x^2+4x^3-6x^4\right)$

a)

$9x^4+7x^3+13x^2$

b)

$2x^4+7x^3+13x^2$

c)

$-5x^4+7x^3+13x^2$

d)

$9x^4+9x^3+13x^2$

128.

Simplify.
$\left(3n^4+2+6n^2\right)+\left(4n+n^4+4\right)$

a)

$4n^4+6n^2+4n+6$

b)

$n^4+6n^2+7n+1$

c)

$n^4+6n^2+4n+6$

d)

$n^4+6n^2+7n+6$

129.

Simplify.
$\left(4+6x^4+7x\right)-\left(6x-2x^4+4\right)$

a)

$8x^4+x$

b)

$19x^4+x-6$

c)

$8x^4+x-6$

d)

$14x^4+x-6$

130.

Simplify.
$\left(3+6b-8b^3\right)-\left(6b^3-7b-7\right)$

a)

$-17b^3+13b+17$

b)

$-17b^3+15b+17$

c)

$-14b^3+13b+10$

d)

$-17b^3+13b+10$

Unit 1 Review

Total questions: 130

Worksheet time: 11hrs 50mins

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