Expressions Examples in Math

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Expressions.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.

Concept Recap

A combination of numbers, variables, and operations with no equals sign — it represents a value but makes no claim.

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

Read the full concept explanation →

How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: Expressions represent calculations without stating what they equal.

Common stuck point: Expressions can be simplified but not 'solved' (no = sign).

Sense of Study hint: Write out each step separately: first handle exponents, then multiplication, then addition.

Worked Examples

Example 1

easy
Simplify the expression 4x + 3x - 2.

Solution

  1. 1
    Identify like terms: 4x and 3x both contain x.
  2. 2
    Combine like terms: 4x + 3x = 7x.
  3. 3
    The simplified expression is 7x - 2.

Answer

7x - 2
Like terms have the same variable raised to the same power. They can be combined by adding their coefficients while keeping the variable part unchanged.

Example 2

medium
Evaluate 2a^2 - 3a + 1 when a = 3.

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

easy
Simplify 5y + 2 - 3y + 7.

Example 2

medium
Write an algebraic expression for: 'triple a number, then subtract 4.'
← Back to Expressions Formula Explained Practice Mode

Background Knowledge

These ideas may be useful before you work through the harder examples.

variablesorder of operations