Expressions

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value but does not have an equal sign.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

Front

Evaluate the expression: 5 + 3(2).

Back

5 + 3(2) = 5 + 6 = 11.

Front

What is the value of the expression 10 - 2x when x = 3?

Back

10 - 2(3) = 10 - 6 = 4.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with given numbers.

Front

What is a variable in an expression?

Back

A variable is a symbol (usually a letter) that represents an unknown value in an expression or equation.

Front

What is the difference between an expression and an equation?

Back

An expression does not have an equal sign, while an equation does have an equal sign and states that two expressions are equal.

Front

Combine like terms: 4x + 3y - 2x + 5y.

Back

(4x - 2x) + (3y + 5y) = 2x + 8y.