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: 4(x + 6).

Back

4x + 24

Front

Simplify the expression: 6(3y - 2y + 7).

Back

6y + 42

Front

Distribute: 12(5 - 4x).

Back

60 - 48x

Front

Simplify the expression: z + z^2 + 1.

Back

1 + z + z^2

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform 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 first step in simplifying the expression 2x + 3x + 4?

Back

Combine like terms: 2x + 3x = 5x.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.