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

Simplify the expression: 6y + 22y + y.

Back

29y

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

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

Back

21a + 28b

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 set of parentheses.

Front

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

Back

60 - 48x

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

Simplify the expression: 4(x + 6).

Back

4x + 24

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and combine like terms.