Free Printable Evaluating and Simplifying Expressions

1.

1) Simplify: -3(-2x - 8) + 15

a)

-6x - 9

b)

6x + 39

c)

6x - 9

d)

6x + 49

2.

2) Simplify: 7x - 14 - 2(4x + 8)

a)

-x - 30

b)

-57x - 128

c)

-x + 2

3.

3) Simplify: -6 -6p + 6 - 8p

a)

-12 - 14p

b)

14p

c)

-14p

4.

5) Evaluate:

\frac{7p\ +\ 5}{-5}

when p = -3

a)

$\frac{-26}{5}$

b)

$\frac{-16}{5}$

c)

$\frac{16}{5}$

5.

7) Simplify: 8x - 3y + x - 1 - 10x

a)

19x -3y -1

b)

-4x - 1

c)

-x -3y - 1

6.

Select all the expressions that are equivalent to 4(3x+4)+5

a)

12x+21

b)

12x+18+3

c)

12x+4+5

d)

7x+x+9

7.

Choose ALL the expressions that are equivalent to 9(x-9)

a)

8x+x-81

b)

9x-81

c)

10x-x-81

d)

9x+82-1

8.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

9.

Simplify and combine like terms: -6k +7k

a)

K

b)

-K

c)

13K

d)

-13K

10.

-2X + 11 +6X

a)

4X+11

b)

-4X-11

c)

4X-11

d)

2X-11

11.

Evaluate -2x if x = 10

a)

-20

b)

-8

c)

8

d)

20

12.

Evaluate 4y if y = 3

a)

1

b)

7

c)

12

13.

Evaluate 2a + 4b

if a = 10 and b = 6

a)

4

b)

20

c)

24

d)

44

14.

Evaluate when a = 15:

2(a - 5) + 2

a)

7

b)

14

c)

22

d)

27

15.

Simplify 4a + 9 + a

a)

3a+9

b)

5a+9

c)

14a

16.

Simplify: 6b + 7b - 10

a)

3b

b)

13b-10

c)

3b²

17.

What is the simplified form of this expression

3x+4+5x+3

a)

8x+7

b)

2x+1

c)

7x+8

d)

15x

18.

Expand and simplify 4(7x + 3).

a)

28x + 12

b)

28x + 3

c)

47x + 12

d)

47x + 3

19.

Expand $3\ \left(x+5\right)$

a)

$3x$

b)

15

c)

$18x$

d)

$3x+15$

20.

$\ Expand\ \ \ \ 3\left(x-5\right)$

a)

$3x$

b)

$-2x$

c)

$3x-15$

d)

$3x-2$

21.

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

a)

$11a+5$

b)

$6a+15$

c)

$11a-5$

d)

$6a+15+5a-10$

22.

Fill in the blank:
4(3x + __) = 12x + 16

a)

4

b)

16

c)

4x

d)

12

23.

7a(3b - 2c + 4)

a)

10ab + 5ac + 11a

b)

10ab + 5ac + 28a

c)

21ab + 14ac + 28a

d)

21ab - 14ac + 28a

24.

Distribute and simplify

a)

13x - 8

b)

13x + 8

c)

19x + 26

d)

13x + 26

25.

Distribute and simplify

a)

15x + 135

b)

15x + 9

c)

39x + 9

d)

39x + 135

26.

5x(2x + 3)

a)

10x²+ 15x

b)

7x + 15x

c)

7x² + 8x

d)

25x²

27.

Classify the polynomial and give the degree:
4x² + 2x - 1

a)

Binomial, 3

b)

Binomial, 2

c)

Trinomial, 3

d)

Trinomial, 2

28.

Combine like terms to simplify:
(5x + 2) + (4x + 5)

a)

9x -7

b)

-9x-11

c)

9x+7

d)

x+7

29.

Which is an example of a linear polynomial?

a)

x²-5

b)

6x+4

c)

5x⁵

d)

2x³-9x²

30.

Which is an example of a cubic binomial?

a)

x³+5

b)

x²+3

c)

x²+5x-6

d)

5x³

31.

What is the leading coefficient of the following polynomial?
5x²-3x+6

a)

2

b)

-3

c)

5

d)

6

32.

Classify the polynomial by its degree.
x² + 2x³ - 4

a)

A
binomial

b)

B
trinomial

c)

C
quadratic

d)

D
cubic

33.

Classify the polynomial by its number of terms.
4x² - 2

a)

A
monomial

b)

B
binomial

c)

C
trinomial

d)

D
polynomial

34.

How many terms are in the following polynomial?
_3xy_{- 2y + 8x - 7z -16}

a)

A
1

b)

B
2

c)

C
4

d)

D
5

35.

What is the degree classification of this polynomial?
x²+4x-8

a)

binomial

b)

trinomial

c)

quadratic

d)

cubic

36.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

37.

What is the constant of this polynomial? 2x³ - 8x² + 3x - 7

a)

2

b)

-8

c)

3

d)

-7

38.

Terms in a polynomial are separate by what?

a)

A. Parenthesis

b)

B. multiplication/division

c)

C. constant

d)

D. addition/ subtraction

39.

4x² + 8x - 7
is classified as a...

a)

Third Degree Monomial

b)

Second Degree Binomial

c)

Second Degree Trinomial

d)

Third Degree Cubic

40.

What is the above expression classified as?

a)

5th degree Monomial

b)

10th degree Monomial

c)

5th degree Trinomial

d)

10th degree Polynomial

41.

Classify this polynomial by its degree and number of terms: x² + 6

a)

Linear polynomial

b)

Quadratic trinomial

c)

Quadratic binomial

42.

Classify this polynomial by its degree and number of terms: x² + 2x + 6

a)

Linear polynomial

b)

Quadratic trinomial

c)

Quadratic binomial

43.

Classify this polynomial by its degree and number of terms: 4x³

a)

Cubic monomial

b)

Linear binomial

c)

Cubic binomial

44.

Classify by the degree and number of tems: x⁴+2

a)

Quadratic binomial

b)

Quadratic monomial

c)

Quartic binomial

45.

Classify by the degree and number of tems: 9x⁴

a)

Quadratic polynomial

b)

Quartic monomial

c)

Quadratic monomial

46.

Classify by number of terms: 3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

47.

What is the degree of polynomial?

3x³ – 6x

a)

Constant

b)

Linear

c)

Cubic

48.

What is the degree of this polynomial?

2x – 9

a)

Constant

b)

Linear

c)

Quadratic

49.

Classify by the number of terms.

3x² – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

50.

Classify by the number of terms.

2x⁴ + 14x³ − 2x²

a)

Monomial

b)

Binomial

c)

Trinomial

51.

Is the following polynomial written in standard form?

7x³ - 11x² + 8x - 5

a)

Yes

b)

No

52.

Is the following polynomial written in standard form?

x² - 10x + 8x - 5

a)

Yes

b)

No

53.

A letter that stands for an unknown number. (For example, x, b, y, r)

a)

term

b)

variable

c)

constant

d)

coefficient

54.

The number that is found in front of a variable. (For example, 9y)

a)

term

b)

variable

c)

constant

d)

coefficient

55.

A number, a variable, or a number and variable multiplied together are all examples of a ___________ (9b, 8, x).

a)

term

b)

variable

c)

constant

d)

coefficient

56.

A fixed number or a number that never changes

in an expression is called a _____________.

a)

term

b)

variable

c)

constant

d)

coefficient

57.

Algebraic statement with no equal sign (Ex: 5x + 1)

a)

expression

b)

equation

c)

ratio

d)

operation

58.

Algebraic statement with an equal sign. (For example, 5x + 2 = 10)

a)

equation

b)

expression

c)

operation

d)

proportion

59.

Add, Subtract, Multiply and Divide signs are all examples of __________.

a)

variables

b)

letters

c)

operations

d)

numbers

60.

The expression 5x + 8 + 3y - 10 has how many terms ?

a)

4

b)

5

c)

3

d)

2

61.

What is the constant in the following expression: 8x + 3(y-1) + 7

a)

8

b)

3

c)

1

d)

7

62.

What are the coefficients in the following expression: 8a + 9b + 10

a)

a, b

b)

8, 9, 10

c)

10

d)

8, 9

63.

What are the variables in the following expression: 3x + 9y + 4h + 2

a)

x, y

b)

x, y, h

c)

3, 9, 4

d)

2

64.

Which expression below is equivalent to

4 (2a + 5b)

a)

6a + 9b

b)

4 (7ab)

c)

8a + 20b

d)

6a + 20b

65.

-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

66.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

67.

Solve the equation.
-3x - 5 = 5 - 2x

a)

x = 10

b)

x = -10

c)

x = 0

d)

-x = -10

68.

Solve the equation.
6b - 7(7 + 5b) = -223

a)

b = 6

b)

b = -6

c)

b = 8

d)

b = -8

69.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

70.

What is the first step to complete when solving this equation?
10 - 3x = 4

a)

Subtract 10

b)

Add 10

c)

Add 3

d)

Divide by -3

71.

What is the inverse operation of multiplication?

a)

multiplication

b)

addition

c)

subtraction

d)

division

72.

Is the solution below correct?
5d = 2d - 18
-2d -2d
3d = -18
d = 6

a)

Yes

b)

No

73.

Solve:

3+4c=15

(a)

74.

Solve:

\frac{1}{5}x-3=7

(a)

75.

Solve:

3\left(x-5\right)=24

(a)

76.

Solve:

0.3\left(5+y\right)=12

(a)

77.

Solve:

\frac{4}{5}\left(c+12\right)=-8

(a)

78.

Solve:

5\left(x-3\right)+1=16

(a)

79.

Solve:

3\left(c-4\right)=4\left(c-6\right)

(a)

80.

Solve:
32 - 7x = -6(x + 3)

a)

50

b)

3

c)

-3

d)

-50

81.

Solve:
2(a + 4) = 2a - 8 + 4a

a)

3

b)

-3

c)

-4

d)

4

82.

Solve:
-8 + 5x - 2 = 20

a)

6

b)

-6

c)

2

d)

-2

83.

3r - 5 = 2r

a)

No solution

b)

Infinitely many solutions

c)

r = 5

84.

Solve:
3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

85.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

86.

What is the solution to the equations?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

87.

$7x-3=7x+5$

a)

No Solution

b)

Infinite Solutions

c)

$x=2$

d)

$x=8$

88.

$7x-3=-3+7x$

a)

No Solution

b)

Infinite Solutions

c)

$x=0$

d)

$x=6$

89.

$-2x+5=-2x+5$

a)

No Solution

b)

Infinite Solutions

c)

$x=10$

d)

$x=-20$

90.

$-2\left(x+11\right)=-18$

a)

$x=-2$

b)

$x=2$

c)

No Solution

d)

Infinite Solutions

91.

$3\ \left(x-8\right)=3x-24$

a)

No Solution

b)

One Solution

c)

Infinite Solutions

92.

$6\left(m+3\right)=2\left(m+5\right)$

a)

No solution

b)

One Solution

c)

Infinite Solutions

93.

$-24+20x=24+8x$

a)

$x=4$

b)

$x=-2$

c)

No Solution

d)

Infinite Solutions

94.

$-2-2x+7x=3$

a)

$x=1$

b)

$x=5$

c)

No Solution

d)

Infinite Solutions

95.

$7x-3=7x+5$

a)

No Solution

b)

Infinite Solutions

c)

$x=2$

d)

$x=8$

96.

$2\left(x-2\right)=2x-4$

a)

No Solution

b)

Infinite Solutions

c)

$x=8$

d)

$x=-8$

97.

Solve for 2x=10. What is x equal to?

a)

5

b)

7

c)

2

d)

20

98.

Solve for 2x=10. What is x equal to?

a)

5

b)

7

c)

2

d)

20

99.

Solve 2x - 5 = 2x + 3. What is x equal to?

a)

10

b)

12

c)

5

d)

None of the above

100.

Which matches the expression below?

2x + 5

a)

Five times a number increased by two.

b)

The sum of five and twice a number.

c)

Two more than the product of five and a number.

101.

Which matches the expression below?

x −9

a)

Nine more than a number.

b)

The sum of a number and nine.

c)

A number decreased by nine.

102.

What is the difference between an expression and equation?

a)

Expressions have an equal sign and equations do not have an equal sign

b)

Expressions do not have an equal sign and equations do have an equal sign

c)

There is not a difference

d)

Expressions do not have variables and equations have variables

103.

What does "difference" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

104.

Three less than twice a number

a)

2x-3

b)

3x-2

c)

3-2x

d)

2-3x

105.

Erik ran 3 less than 5 times the distance that Kerry, k, ran. Which expression represents how far Erik ran?

a)

3 - 5k

b)

5k - 3

c)

5 (3-k)

d)

5 (k-3)

106.

Which expression correctly represents that Jaime walked 7 miles fewer than 3 times the number of miles (r) that Robert walked.

a)

3(r-7)

b)

3r - 7

c)

7(3-r)

d)

7 - 3r

107.

Translate the following expression: seven times the quantity of a plus b

a)

7 x a + b

b)

a + b x 7

c)

7(a + b)

d)

a(7 + b)

108.

What operation does "QUOTIENT" represent?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

109.

What operation does "SUM" represent?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

110.

What does the word "POWER" represent?

a)

Parentheses

b)

Multiplication

c)

Exponents

d)

Division

111.

Which expression has a coefficient of 2?

a)

$2+xy$

b)

$x+2$

c)

$2x-7$

d)

$4x+7$

112.

Definition of a term.

a)

Parts of an expression separated by + and - signs

b)

The number multiplied times a product of variables or powers of variables in a term

c)

A term or expression with no variables

d)

The numbers or expressions that when multiplied produce a given product

113.

Definition of a constant

a)

Parts of an expression separated by + and - signs

b)

The number multiplied times a product of variables or powers of variables in a term

c)

A term or expression with no variables

d)

The numbers or expressions that when multiplied produce a given product

114.

Definition of a coefficient.

a)

Parts of an expression separated by + and - signs

b)

The number multiplied times a product of variables or powers of variables in a term

c)

A term or expression with no variables

d)

The numbers or expressions that when multiplied produce a given product

115.

In the following expression, the number 11 is an example of _____________?
5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

116.

How many terms are in the following expression?
2x³ - 7 + 11x⁸ - 4x⁵

a)

1

b)

2

c)

3

d)

4

117.

Identify the coefficient of the second term:

-9b + 4x - 9

a)

-9

b)

9

c)

4

d)

b

e)

x

118.

A variable is a ________________ or __________________ that represents an unknown value.

a)

letter or symbol

b)

term or expression

c)

constant or coefficient

d)

noughts or crosses

119.

An Algebraic Expression is a mathematical phrase that includes at least one ___________________.

a)

variable

b)

coefficient

c)

constant

d)

Sponge Bob

120.

Identify the terms of the algebraic expression:

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

121.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

122.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

123.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

124.

10(h+1) - 4 = 76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

125.

Solve for x:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

126.

What will the equation look like after you combine like terms?

a)

-5x + 5 = 35

b)

x + 5 = 35

c)

5x + 5 = 35

d)

-x + 5 = 35

127.

$-118=-5\left(4+7x\right)+7$

a)

$-5$

b)

$-9$

c)

$3$

d)

$-1$

128.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

129.

Solve:

$-4x+3\left(5x+10\right)=-36$

a)

x = 12

b)

x = -10

c)

x = -6

d)

x = -16

130.

Solve the following for d: 0.5(2x-6)=0.2(4x-10)

a)

-5

b)

5

c)

0.5

d)

-10

131.

What is the first step in the equation:

2x - 3 + 4x = 27

a)

Combine Like Terms

b)

Add 3 on both sides

c)

Divide by 2 on both sides

d)

Subtract 4x from both sides

132.

What is the second step to solve the equation:

2x - 3 + 4x = 27

a)

Divide everything by 2

b)

Add 3 to both sides

c)

Divide everything by 6

d)

Subtract 3 to both sides

133.

What is the last step to solve the equation:

2x - 3 + 4x = 27

a)

Add 4 on both sides

b)

Subtract 6 from both sides

c)

Subtract 27 from both sides

d)

Divide by 6 on both sides

134.

After questions 1-3, what is the answer to:

2x - 3 + 4x = 27

(a)

135.

Solve for n:

4n - 1 = 6n + 8 - 8n + 15

(a)

136.

1 + 9a - 8 = 8a

(a)

137.

What will the equation look like after you distribute?

a)

-6x - 8 = 10

b)

-6x + 8 = 10

c)

-5x - 6 = 10

d)

-5x + 6 = 10

138.

3(x + 5) – 6x = -18

(a)

139.

2(m + 10) = 4(m - 15)

(a)

140.

What is the first step in solving this equation?

a)

subtract 3 to both sides

b)

subtract the 6 - 2

c)

distribute 2

d)

distribute -2

Evaluating and Simplifying Expressions

Total questions: 140

Worksheet time: 4hrs 27mins

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