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

Simplify: 8(5f - 7) + 3f

Back

43f - 56

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: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

Factor the expression: 14r - 8

Back

2(7r - 4)

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

Factor using the GCF: 6x + 12

Back

6(x + 2)

Front

Factor the expression: 24 + 16w

Back

8(3 + 2w)

Front

What is a like term?

Back

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