Distributive Property, Combining Like Terms and Factoring

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

Factor the expression: 14r - 8

Back

2(7r - 4)

Front

Use the Distributive Property to find an equivalent expression: 5(2f + 4)

Back

10f + 20

Front

Which of the following is equivalent to 8(5f - 7) + 3f?

Back

43f - 56

Front

Simplify the expression: 3a + 6a - 12b + 8c - 2b

Back

9a - 14b + 8c

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable and exponent to simplify an expression.

Front

Factor the expression using the greatest common factor: 6x + 12

Back

6(x + 2)

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common. For example, the GCF of 12 and 16 is 4.

Front

What is the result of applying the Distributive Property to 3(2x + 5)?

Back

6x + 15