Equivalent Expressions

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

Front

Simplify the expression: 3x + 5 + 7x + 2.

Back

10x + 7

Front

Distribute the expression: 7(3a + 4b).

Back

21a + 28b

Front

Simplify the expression: 12(5 - 4x).

Back

60 - 48x

Front

Simplify the expression: 15x + 10 - 6x - 1.

Back

9x + 9

Front

Factor the expression: 30d + 18.

Back

6(5d + 3) or 5(6 + 3d)

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to 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.

Front

What is the distributive property?

Back

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

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression.