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Worksheets

Solve Expression with Variables

Total questions: 77

Worksheet time: 7hrs 34mins

Name
Class
Date
1.

12+n=2512+n=25  

a)

39

b)

14

c)

11

d)

12

2.

6×n=306\times n=30  

a)

36

b)

6

c)

5

d)

24

3.

18÷r=318\div r=3  

a)

6

b)

15

c)

21

d)

9

4.

94−n=7494-n=74  

a)

168

b)

20

c)

19

d)

22

5.

7×s=427\times s=42  

a)

35

b)

5

c)

6

d)

49

6.

27÷r=927\div r=9  

a)

36

b)

18

c)

3

d)

5

7.

42−p=3542-p=35  

a)

7

b)

77

c)

12

d)

3

8.

x+47=54x+47=54  

a)

101

b)

13

c)

3

d)

7

9.

16÷m=416\div m=4  

a)

12

b)

22

c)

5

d)

4

10.

r×8=40r\times8=40  

a)

5

b)

48

c)

32

d)

8

11.
12x = 144
a)
x = 12
b)
x = 4
c)
x = 2
d)
x = 132
12.
y + 8 = 20
a)
10
b)
11
c)
12
d)
13
13.
k - 10 = 7
a)
-3
b)
3
c)
17
d)
- 17
14.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
15.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
16.
4 + b = 30
a)
-34
b)
34
c)
-26
d)
26
17.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
18.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
19.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
20.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
21.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
22.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
23.
What is the correct step to solve for the variable?
15 = m - 5
a)
add 15 to both sides
b)
add 5 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
24.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
25.

What are the two basic rules for solving algebraic equations?

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the opposite operation

26.

What do you call the number in front of a variable that is being multiplied?

a)

Constant

b)

Variable

c)

Coefficient

d)

Equation

27.

What is the difference between an algebraic expression and an equation?

a)

Algebraic expressions do not have variables, but equations do have variables

b)

Expressions and equations are not different

c)

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

d)

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

28.

Solve the equation:
x−12=2x-12=2  

a)

24

b)

10

c)

20

d)

14

29.

One way to be certain of your work and having the correct solution is to what?

a)

Isolate the variable

b)

Inverse operations

c)

Opposite

d)

Check your solution

30.

To check your solution. You do what first?

a)

Isolate the variable

b)

Opposite

c)

Substitute the variable with the answer

d)

Use the "Golden Rule"

31.

Write an expression to represent "2 more than a number"

a)

n + 2

b)

2 > n

c)

n > 2

d)

2n

32.

Write an expression to represent "the product of 3 and x"

a)

3 + x

b)

3x

c)

3 - x

d)

3 ÷ x

33.
What is a number decreased by seventeen?
a)
n + 17
b)
n - 17
c)
17 + n
d)
17 - n
34.
Evaluate the expression if a=3 and b=4.
18 ÷ 2a
a)
6
b)
5
c)
2
d)
3
35.

The sum of x and 3 is...

a)

x - 3 =

b)

x + 3 =

c)

x · 3 =

d)

x ÷ 3 =

36.

5 greater THAN p is...

a)

p - 5 =

b)

p + 5 =

c)

p · 5 =

d)

p ÷ 5 =

37.

105 increased by p is...

a)

105 - p =

b)

105 + p =

c)

105 · p =

d)

105 ÷ p =

38.

The difference between 4 and h is...

a)

4 - h =

b)

4 + h =

c)

4 · h =

d)

4 ÷ h =

39.

The math action word quotient indicates which operation?

a)

addition

b)

multiplication

c)

exponent

d)

division

40.

Solve the equation 3x+5 when x=4

a)

36

b)

21

c)

17

d)

39

41.

Evaluate:


n + 6 when n = 6

a)

12

b)

0

c)

36

d)

6

42.

Evaluate:


8b when b = 9

a)

17

b)

89

c)

1

d)

72

43.

Evaluate:


2x + 6 when x = 3

a)

11

b)

29

c)

12

d)

0

44.

Evaluate:


8 + 5b when b = 10

a)

58

b)

518

c)

42

d)

31

45.

3h

if h=3

a)

6

b)

9

c)

12

d)

1

46.

24 + s

if s=10

a)

240

b)

14

c)

34

d)

2410

47.

r + b

if r=3 and b=5

a)

35

b)

15

c)

8

d)

None of the above

48.

4w + 3

if w=2

a)

11

b)

9

c)

7

d)

None of the above

49.

What are variables in math?

a)

Letters

b)

Numbers

c)

Expressions

50.

Solve the equation 8+5b when b=10

a)

58

b)

42

c)

518

d)

31

51.

Solve when x=1 and y=2.

x+yx+y  

a)

3

b)

2

c)

4

d)

1

52.

Which equation is correct if:

t=56?

a)

7×8=t7\times8=t

b)

2t=1102t=110

c)

t+5=60t+5=60

d)

t÷5=11t\div5=11

53.

x + 9 = 12

a)

x = 5

b)

x = 3

c)

x = 4

d)

x = 21

54.

2p = 10

a)

p = 5

b)

p = 8

c)

p = 20

d)

p = 12

55.

7 = n - 6

a)

n = 1

b)

n = 5

c)

n = 13

d)

n = 42

56.

27 ÷k =327\ \div k\ =3  

a)

k = 9

b)

k = 6

c)

k = 24

d)

k = 30

57.

4s = 20

a)

s = 16

b)

s = 5

c)

s = 24

d)

s = 6

58.

c - 3 = 11

a)

c = 8

b)

c = 33

c)

c = 9

d)

c = 14

59.

23 = m + 23

a)

m = 10

b)

m = 0

c)

m = 13

d)

m = 23

60.

63 = 7t

a)

t = 5

b)

t = 56

c)

t = 9

d)

t = 70

61.

a ÷8=7a\ \div8=7  

a)

a = 56

b)

a = 63

c)

a = 72

d)

a = 1

62.

10y = 70

a)

y = 80

b)

y = 60

c)

y = 7

d)

y = 700

63.

r + 6 = 15

a)

r = 21

b)

r = 9

c)

r = 7

d)

r = 10

64.

3q = 36

a)

q = 33

b)

q = 12

c)

q = 8

d)

q = 39

65.

15 = d + 7

a)

d = 7

b)

d = 9

c)

d = 22

d)

d = 8

66.

m÷9=4m\div9=4  

a)

m = 36

b)

m = 13

c)

m = 3

d)

m = 12

67.

4f = 44

a)

f = 12

b)

f = 11

c)

f = 40

d)

f = 48

68.
x-4=12
a)
16
b)
8
c)
4
d)
20
69.
x+5=10
a)
10
b)
7
c)
5
d)
4
70.
x+6=12
a)
7
b)
4
c)
5
d)
6
71.
x-4=3
a)
8
b)
7
c)
9
d)
6
72.
x+9=18
a)
5
b)
7
c)
9
d)
10
73.
x-6=2
a)
3
b)
8
c)
5
d)
6
74.
x+3=9
a)
4
b)
5
c)
6
d)
7
75.
x-3=5
a)
8
b)
2
c)
4
d)
5
76.
x+3=10
a)
7
b)
8
c)
6
d)
5
77.
x+2=10
a)
8
b)
3
c)
6
d)
9