Practice Equations in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A mathematical statement that two expressions are equal, connected by an equals sign (=). Equations assert a relationship between quantities and can be solved to find the values of unknown variables that make the statement true.

A balanced scale: both sides must weigh the same. Solve by keeping balance.

Showing a random 20 of 50 problems.

Example 1

easy
Solve: x+5=12.

Example 2

hard
The sum of two consecutive integers is 73. Find the smaller one.

Example 3

easy
Is x=−2 a solution of 4x+8=0?

Example 4

easy
Translate 'a number plus 7 equals 20' into an equation.

Example 5

medium
What operation undoes adding 7?

Example 6

medium
Solve 2x+5=17.

Example 7

medium
Solve: 7=2x−3.

Example 8

hard
A taxi ride costs $3 plus $2 per mile. The total bill is $17. How many miles?

Example 9

hard
Solve 2x+3=2x+7.

Example 10

hard
Solve x+23=5.

Example 11

easy
Solve: 3x=21.

Example 12

medium
Write an equation: 'The sum of x and 9 equals 15.'

Example 13

medium
Solve: x+13=4.

Example 14

challenge
Solve: x+3=x−3.

Example 15

medium
Solve 0.5x+1=4.

Example 16

medium
Solve 2x3=8.

Example 17

medium
Solve −2x+7=1.

Example 18

medium
A number tripled and decreased by 4 is 17. Find it.

Example 19

easy
Solve x−7=2.

Example 20

easy
Is x=3 a solution of 2x+1=7?