1.7 Distributing

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 two or more terms inside a set of parentheses.

Front

Simplify: 3(h + 2)

Back

3h + 6

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify: 5x + 3x - 2x

Back

6x

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, such as 2x and 5x.

Front

Simplify: 4x^2 + 2x^2

Back

6x^2

Front

What is the result of distributing -1 to (2x + 3)?

Back

-2x - 3

Front

Simplify: 7(2 + 3x)

Back

14 + 21x

Front

What is the first step in simplifying an expression using the distributive property?

Back

Multiply the term outside the parentheses by each term inside the parentheses.

Front

Simplify: 2(3x + 4) - 5

Back

6x + 8 - 5 = 6x + 3