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Expression

Expression

One-page printable reference

See It in Action

Two examples of the idea done right—and one common look-alike that is not right.

EXAMPLE

EXAMPLE

NON-EXAMPLE

Definition

An expression is a mathematical phrase that combines numbers, variables, and operators (such as +, -, , and ÷) but does not include an equality sign. Expressions represent values and can be simplified or evaluated based on the values assigned to the variables.


Here are key points about expressions:


  • Terms: Expressions are made up of terms, which can be constants, variables, or a combination of both. For example, in 3x + 4, 3x and 4 are terms.

  • Operators: Expressions use operators to combine terms. For example, in 2x - 7, the operator is subtraction.

  • Simplification: Expressions can be simplified by combining like terms and performing arithmetic operations. For example, 2x + 3x = 5x simplifies to a single term.

  • Evaluation: To evaluate an expression, substitute the values of the variables into the expression and perform the operations. For example, if x = 2, then 3x + 4 evaluates to 3(2) + 4 = 10.


An expression does not include an equality sign, so it does not state that two things are equal, unlike an equation.

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Learn the whole picture

This term is one piece. Our courses build it into everything around it—short videos, practice, and the “why” behind every concept.

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Lines, slope, functions & more

Geometry

Shapes, proofs & spatial reasoning

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