7.EE.1 Equivalent Expressions/Distributive Property

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

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Simplify: 3(x + 4)

Back

3x + 12

Front

Simplify: 5(2y + 3) - 4y

Back

10y + 15 - 4y = 6y + 15

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

If 2(x + 3) = 2x + 6, what property is being used?

Back

The distributive property is being used.

Front

What are like terms?

Back

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

Front

Combine like terms: 4a + 3a - 2a

Back

5a

Front

What is the first step in using the distributive property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

If 7(x + 2) = 7x + 14, what is the value of x when the expression equals 21?

Back

x = 1.