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Worksheets

One Variable Expressions and Equations

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Solve the algebraic number of 4x + 7 = 27. Is this an expression or an equation?

a)

Expression
x = 5

b)

Equation
x = 5

c)

Expression
x = 4

d)

Equation
x = 4

2.

Solve the algebraic number of 3 x (2a − 4) = 18. Is this an expression or an equation?

a)

Expression
a = 5

b)

Equation
a = 5

c)

Expression
a = 2

d)

Equation
a = 2

3.

Solve the algebraic number of 2 x (y2 - 1) = 6. Is this an expression or an equation?

a)

Expression
y = 2

b)

Equation
y = 2

c)

Expression
y = 1

d)

Equation
y = 1

4.

3x − 5y

a)

Expression

b)

Equation

5.

7m = 4n

a)

Expression

b)

Equation

6.

A rectangle's area is given by the algebraic number of 6w2, where w is the width. Identify if this is an expression or equation and find the area if the width w = 2.

a)

Expression
Area: 24 square units

b)

Equation
Area: 24 square units

c)

Expression
Area: 12 square units

d)

Equation
Area: 12 square units

7.

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.
The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

8.

What is the solution for x + 9 = 21

a)

10

b)

12

c)

11

d)

13

9.

Solve for b
2b = -16

a)

8

b)

4

c)

-8

d)

3

10.

x = 20

x = 7

x = 10

x = 3

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

11.

x - 8 = -5 

a)

13

b)

-13

c)

3

d)

-3

12.

Solve:

a)

96

b)

-96

c)

4

d)

-4

13.

Solve:

a)

-12

b)

-8

c)

12

d)

8

14.

r + 20 = 27

a)

r = 7

b)

r = 47

c)

r = 13

d)

r = 20

15.

x - (-2) = 7

a)

-9

b)

-5

c)

5

d)

9