Practice Expressions in Math

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

Quick Recap

A combination of numbers, variables, and operations (like addition, subtraction, multiplication, division) that represents a mathematical quantity. Unlike equations, expressions do not contain an equals sign and cannot be solved — they can only be simplified or evaluated.

A recipe for calculating a value: '2x+3' tells you to double x and add 3.

Showing a random 20 of 50 problems.

Example 1

easy
Simplify 5y+2−3y+7.

Example 2

medium
Simplify 2(x+4)+3(x−1).

Example 3

easy
Simplify 7+2x−3+x.

Example 4

medium
Write an expression: 'the product of 4 and the sum of x and 7'.

Example 5

medium
Simplify 4(2x−1)−3(x+2).

Example 6

challenge
Expand and simplify (x+3)(x−3).

Example 7

easy
Simplify −3x+5x.

Example 8

easy
Simplify the expression 4x+3x−2.

Example 9

medium
Simplify 2(3x−1)+4x.

Example 10

hard
Expand (x+3)(x+5).

Example 11

easy
Write 'twice a number, minus 5' as an expression.

Example 12

medium
Simplify 6x+93.

Example 13

easy
Apply the distributive property: 5(2x−3).

Example 14

challenge
Simplify (x+2)(x−2)−(x−1)2.

Example 15

medium
What is the constant term in 4x2−3x+9?

Example 16

easy
Is 4x+7 an expression or an equation?

Example 17

easy
Are 2x and 2y like terms?

Example 18

easy
How many terms are in 7x+3y−4+2z?

Example 19

easy
Evaluate 2a+3 when a=5.

Example 20

medium
Simplify 5−2(x−3).