Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Expressions Review

Total questions: 100

Worksheet time: 10hrs 1mins

Name
Class
Date
1.
In this expression, which is the variable? 
5 + y 
a)
q
b)
+
c)
5
d)
y
2.
The number or constant in this expression is _______. 
6 + n
a)
n
b)
+
c)
6
d)
=
3.
Evaluate the expression if a=3 and b=4.
10 + b 
a)
14
b)
13
c)
7
d)
6
4.
Evaluate the expression if a=3 and b=4.
4b - 5a
a)
9
b)
8
c)
1
d)
0
5.
Evaluate the expression if a=3 and b=4.
a2 + 1
a)
17
b)
10
c)
33
d)
11
6.
Evaluate the expression if a=3 and b=4.
18 ÷ 2a
a)
6
b)
5
c)
2
d)
3
7.
Evaluate the expression if a=3 and b=4.
ab ÷ 3
a)
11
b)
4
c)
3
d)
1
8.
Evaluate the expression if a=3 and b=4.
2a + 8
a)
31
b)
14
c)
16
d)
12
9.

Combine Like Terms:
7 - 8c + 3 - 6c 

a)
-10+14c
b)
-25
c)
10-14c
d)
25c
10.

Combine Like Terms:

5x + 3y - 5 + 4x + 3y + y + 8

a)

9x + 7y + 3

b)

9x + 6y + 3

c)

11xy + 8

d)

19xy

11.
5 times a number, minus 8  
a)
5m - 8
b)

5(m + 8)

c)

8m - 5

d)

8(m - 5)

12.


8 less than the product of 4 and a number

a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
13.


Three times a number plus 16

a)
3(16)+n
b)
16n+3
c)
3n+16
d)

n3+16n^3+16

14.

Evaluate 2(a−5)+22\left(a-5\right)+2 when a = 15 

(a)  

15.
evaluate bc + 5a  
when  a = 3, b = 4, and c = -6
a)
9
b)
38
c)
-38
d)
-9
16.

Evaluate a−5−ba-5-b when a = 4 and b = 10. 

a)

1

b)

-9

c)

-11

d)

9

17.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
18.

Evaluate bc + 5a

when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

19.

Evaluate the expression when y = -3

2(y+6)2\left(y+6\right)  

a)

-6

b)

-2

c)

0

d)

6

20.

An expression is shown below.

5z + (9 ÷ 3)

What is the coefficient of the variable in this expression?

a)

5

b)

z

c)

9

d)

3

21.

Which expression is equivalent to 8c + 6 − 3c − 2?

a)

5c+8

b)

5c+4

c)

11c+4

d)

11c+8

22.

Which expression is equivalent to 7a − 8 − 12a + 4?

a)

-9a

b)

31a

c)

-5a-4

d)

19a+12

23.

Find the value of 5xy2 if x = 2 and y = 3.

a)

523

b)

90

c)

60

d)

30

24.

If a = -2 and b = -3, what is the value of 3a2b?

a)

18

b)

36

c)

-18

d)

-36

25.

Which expression is equivalent to 6w + 5 − 3w + 7?

a)
  1. 9w + 2

b)
  1. 3w + 12

c)
  1. 11w − 4

d)
  1. 11w + 4

26.

If x = −2 and y = 4, find the numerical value of the expression 7y − 3x.

a)

34

b)

22

c)

2

d)

-24

27.

If p = -6, what does -10(p + 4) equal?

a)

2

b)

20

c)

-2

d)

-20

28.

Evaluate -2x + -3y if x = 10 and y = -6

a)

18

b)

-38

c)

12

d)

-2

29.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
30.

If x = 3 solve x + 4 =

a)

5

b)

6

c)

7

d)

8

31.
Evaluate 7 + j if     j = -2
a)
-14
b)
14
c)
5
d)
9
32.
Write an algebraic expression for "12 more than number". 
a)
x + 12
b)
12x
c)
x - 12
33.
Evaluate -2x  if     x = 10
a)
-8
b)
20
c)
-20
34.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
35.
Evaluate 7y - 3y for y=2
a)
40
b)
73
c)
8
d)
4
36.
3x + 8   if x = 2
a)
13
b)
14
c)
15
d)
16
37.

Evaluate m² + 12q if m = 5 and q = -3

a)

10

b)

-25

c)

-11

d)

13

38.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
39.

Identify the variable in the expression 5y + 7?

a)

x

b)

5y

c)

y

d)

7

40.
Identify the coefficient in the expression.
6y + 7
a)
6y
b)
7
c)
6
d)
1
41.
What is the "2" called
 in the following term
   "2x"
a)
Variable Term
b)
Variable
c)
Constant
d)
Coefficient
42.

How many terms are in the algebraic expression?

2y + x + 4

a)

4

b)

3

c)

5

d)

2

43.
How is the number 9 best described in the expression
9m + 3n + 4
a)
coefficient
b)
variable
c)
constant
d)
term
44.
Identify a constant in the expression
3x + 2y + 7
a)
3
b)
2y
c)
7
d)
2
45.
Identify the coefficient in the expression
4m + n + 2
a)
2
b)
4
c)
m
d)
n
46.

What is a constant?

a)

A term with no variables.

b)

A coefficient.

c)

A term with numbers and variables.

d)

A letter.

47.
Identify the constant in the expression.
2y + 5x + 12
a)
2
b)
5x
c)
12
d)
2y
48.
Identify the variables in the expression
3x +  9
a)
x
b)
y
c)
9
d)
3x
49.
Write an algebraic expression for the word phrase.
six times the daily amount of fiber (f) in your diet
a)
6f
b)
6+f
c)
6/f
d)
6-f
50.

a)

90, 3h, 14

b)

90, 18, 3, 14

c)

90 , 18w , 3h , 14

d)

18w, 3h

51.
What is the simplified form of this expression
3x+4+5x+3
a)
15x
b)
8x+7
c)
7x+8
52.
Simplify the Expression. 
9z  - 21 - 3z + 10
a)
Simplified
b)
9z - 21 - 7
c)
9z - 11 -3z
d)
6z - 11
53.
w + w + w could be simplified as?
a)
3w
b)
3
c)
w
d)
0
54.
x2+2−1+6x2−4x2
a)
x 2  -1
b)
x2 +1
c)
3x2 +1
d)
x 2+3
55.

Write this as an expression: "7 more than two times y"

a)

2y + 7

b)

2 + y + 7

c)

2 + y - 7

d)

7 - 2y

56.

Write this as an expression: "10 less than x"

a)

10 - x

b)

x + 10

c)

x - 10

d)

10 + x

57.

How many terms are there in the expression: 

x2−x+5x^2-x+5  

a)

1

b)

2

c)

3

d)

4

58.

What is the constant in the expression: 

x−y+3z−5x-y+3z-5  

a)

2

b)

-1

c)

3

d)

-5

59.

What is the coefficient of x in the expression: 

x−y+3z−5x-y+3z-5  

a)

-1

b)

1

c)

3

d)

-5

60.

Evaluate the expression  2a−3b2a-3b  when  and  

a)

16\frac{1}{6}

b)

−16-\frac{1}{6}

c)

76\frac{7}{6}

d)

−76-\frac{7}{6}

61.

Which expression is equivalent to 13j−(−4)+(−9)−23j\frac{1}{3}j-\left(-4\right)+\left(-9\right)-\frac{2}{3}j  ?

a)

j3−13\frac{j}{3}-13  

b)

−j3−5-\frac{j}{3}-5  

c)

j−13j-13  

d)

−j−5-j-5  

62.
John feeds his turtle the same amount of food three times a day. He feeds his hamster twice that much. Which expression shows how much John feeds his hamster?
a)
3x + 2
b)
3 + x ÷ 2
c)
½(3x)
d)
(3x)2
63.
Elliott ran 14 miles over some days last week. If he ran the same amount every day, which expression shows how far he ran each day?
a)
14 ÷ x
b)
x ÷ 14
c)
14x
d)
14 + x
64.
Erica has three less than twice as many pencils as Dale has. If Dale has d pencils, which expression shows how many pencils Erica has?
a)
3 - 2d
b)
2d - 3
c)
½d - 3
d)
3 - ½d
65.
Combined, Jim and Martha have $45. If Jim has j dollars, which expression shows how much money Martha has?
a)
j + 45
b)
45 + j
c)
45 - j
d)
j - 45
66.
Which algebraic expression best represents the following verbal expression?
 
three less than b cubed is fourteen
a)
3 - b3 = 14
b)
3 - b2 = 14
c)
b2 - 3 = 14
d)
b3 - 3 = 14
67.
Which algebraic expression best represents the following verbal expression?
 
the sum of a number and four, divided by three is 2
a)
n + 4 = 2 ÷ 3
b)
(n + 4) ÷ 3 = 2
c)
n + (4 ÷ 3) = 2
d)
n + 4 ÷ 3 + 2
68.
Together, Vance and Kim spent an unknown amount of money while shopping. If they spent the same amount of money, which expression shows how much money each spent? 
a)
x - 2
b)
2x
c)
2 ÷ x
d)
x ÷ 2
69.
Which algebraic expression best represents the following verbal expression?
 
five less than a squared
a)
5 - 2a
b)
a2 - 5
c)
5 - a2
d)
2a - 5
70.
Which algebraic expression best represents the following verbal expression?
 
three more than the product of 6 and m is 15 
a)
3 + 6m + 15
b)
3 + 6 + m = 15
c)
6m + 3 + 15
d)
6m + 3 = 15
71.
Which algebraic expression best represents the following verbal expression?
 
four less than the product of b and three
a)
4 - 3b
b)
4 - (3 + b)
c)
(4 + b) - 4
d)
3b - 4
72.
Which algebraic expression best represents the following verbal expression?
 
half a number x plus 4
a)
2x + 4
b)
x + 4(½)
c)
½x + 4 
d)
x + ½ + 4
73.
Which algebraic expression best represents the following verbal expression?
 
the sum of three and the product of n and five
a)
3 + 5n
b)
3n + 5
c)
(3-5)n
d)
3n - 5
74.
Which algebraic expression best represents the following verbal expression?
 
two more than three times a number
a)
3n - 2
b)
3n + 2
c)
3 + 2n
d)
3 - 2n
75.
Which algebraic expression best represents the following verbal expression?
 
9 times a number minus 2
a)
2 - 9n
b)
9  - 2n
c)
2n - 9
d)
9n - 2
76.

x2 can be combined with 2x2

a)

True

b)

False

77.

2xy can be combined with 3xy2

a)

True

b)

False

78.
Evaluate the expression.        Let    a = 4
5a + 7a - 8
a)
48
b)
28
c)
40
d)
35
79.
What is the value of xy + 2z, when x = -2, y = 4 and z = -5
a)
-2
b)
28
c)
18
d)
-18
80.
Evaluate expression: ½a-5b when a= -12 and b= -3
a)
-21
b)
-9
c)
9
d)
21
81.

Evaluate when a = 15:

2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

82.
Andy and 4 friends equally shared some pizzas. How much did they each eat?
a)
4x
b)
x / 4
c)
5x
d)
x / 5
83.
Which expression represents "x cubed less than 7"? 
a)
x3 - 7
b)
3x - 7
c)
7 - x3
d)
7 - 3x
84.
Which expression represents: "the product of 3 and x increased by 5"? 
a)
5x - 3
b)
3 - 5x
c)
3x + 5
d)
3x(5)
85.
Which verbal expression represents the given expression? 
3(4-x)
a)
four minus the number x divided by 3
b)
three times four less than a number x
c)
three times the quantity x less than four
d)
four subtracted from x times three
86.
How many terms are in the given expression?
52 + 7n - 2f  
a)
6
b)
5
c)
3
d)
2
87.
Simplify the following expression
7 - 8c + 3 - 6c 
a)
-10+14c
b)
-25
c)
10-14c
d)
25c
88.

Simplify the expression:


3x2 - x + 7 + 5x + 2 - 2x2

a)

x2 + 4x + 9

b)

5x2 + 9

c)

15

d)

15x

89.

Simplify the Expression:


7x2 - 3a +20 - 4x2 + 2a

a)

11x2 - a + 20

b)

3x2 - a + 20

c)

2a + 20

d)

3x2 - a

90.

2x + 8 + 6x − 52x\ +\ 8\ +\ 6x\ -\ 5  Choose the correct simplified expression

a)

8x + 13

b)

4x + 3

c)

8x + 3

d)

4x + 13

91.

 Which of the following expressions is equivalent to:     

13y + 3 23y + 12(6 + 4y)\frac{1}{3}y\ +\ 3\ \frac{2}{3}y\ +\ \frac{1}{2}\left(6\ +\ 4y\right)  

a)

5 13y\frac{1}{3}y  + 12

b)

5 23y + 35\ \frac{2}{3}y\ +\ 3  

c)

6y + 3

d)

8y + 3

92.

What is the first step in evaluating this expression? 12 (9 - 2) − 35 ÷ 5

a)

multiplying 12 and 9

b)

subtracting 9 and 2

c)

subtracting 35

d)

dividing 35 and 5

93.

What is the value of 5x + 2y if x = 5 and y = -1?

a)

23

b)

27

c)

11

d)

13

94.

Select the expression equivalent to 5.2x + 1.8 + 5 - 2.8x

a)

2.4x + 6.8

b)

8x + 6.8

c)

3.6x + 3.2

d)

2.4 x + 3.2

95.

Select the expression equivalent to 12x + 4 - 3x-2

a)

9x + 6

b)

15x + 2

c)

9x + 2

d)

7x

96.

Roquan Smith earns $1,025 per football game he plays for the Chicago Bears. Write an expression representing the cost Roquan would be paid for any number of games.

a)

1025 + g

b)

1025/g

c)

1025g

97.

Simplify by combining like terms.

12x + 10 – 20x – 19 + x

a)

-7x + 9

b)

-8x - 9

c)

22x - 9

d)

-7x - 9

98.

Simplify by combining like terms.

12x−9x2+5y+2x2−15x12x-9x^2+5y+2x^2-15x  

a)

−7x2−3x+5y-7x^2-3x+5y  

b)

−11x2−27x+5y-11x^2-27x+5y  

c)

−7x2+3x+5y-7x^2+3x+5y  

d)

−11x2−3x+5y-11x^2-3x+5y  

99.

Simplify by combining like terms.


-6p + 15 - p + 12 + 5p

a)

-11p + 27

b)

11p + 27

c)

-7p + 27

d)

-2p + 27

100.

10 + 10w - 4

a)

6 + 10w

b)

24w

c)

14 + 10w

d)

16w