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 โ€” they can only be simplified or evaluated.

A recipe for calculating a value: '2x+32x + 3' tells you to double xx and add 3.

Showing a random 20 of 50 problems.

Example 1

easy
Simplify 5y+2โˆ’3y+75y + 2 - 3y + 7.

Example 2

medium
Simplify 2(x+4)+3(xโˆ’1)2(x + 4) + 3(x - 1).

Example 3

easy
Simplify 7+2xโˆ’3+x7 + 2x - 3 + x.

Example 4

medium
Write an expression: 'the product of 44 and the sum of xx and 77'.

Example 5

medium
Simplify 4(2xโˆ’1)โˆ’3(x+2)4(2x - 1) - 3(x + 2).

Example 6

challenge
Expand and simplify (x+3)(xโˆ’3)(x + 3)(x - 3).

Example 7

easy
Simplify โˆ’3x+5x-3x + 5x.

Example 8

easy
Simplify the expression 4x+3xโˆ’24x + 3x - 2.

Example 9

medium
Simplify 2(3xโˆ’1)+4x2(3x - 1) + 4x.

Example 10

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

Example 11

easy
Write 'twice a number, minus 55' as an expression.

Example 12

medium
Simplify 6x+93\frac{6x + 9}{3}.

Example 13

easy
Apply the distributive property: 5(2xโˆ’3)5(2x - 3).

Example 14

challenge
Simplify (x+2)(xโˆ’2)โˆ’(xโˆ’1)2(x + 2)(x - 2) - (x - 1)^2.

Example 15

medium
What is the constant term in 4x2โˆ’3x+94x^2 - 3x + 9?

Example 16

easy
Is 4x+74x + 7 an expression or an equation?

Example 17

easy
Are 2x2x and 2y2y like terms?

Example 18

easy
How many terms are in 7x+3yโˆ’4+2z7x + 3y - 4 + 2z?

Example 19

easy
Evaluate 2a+32a + 3 when a=5a = 5.

Example 20

medium
Simplify 5โˆ’2(xโˆ’3)5 - 2(x - 3).