Lesson 4-2: Factoring & Distributive Property

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 the expression: 11(9 + d)

Back

99 + 11d

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

Expand and simplify: -4(2h + 3)

Back

-8h - 12

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides all the terms in a polynomial without leaving a remainder.

Front

Factor the expression: 3x + 27

Back

3(x + 9)

Front

What is the result of applying the Distributive Property to 5(a + 6)?

Back

5a + 30

Front

Factor the expression: 16x + 32 using the GCF.

Back

16(x + 2)

Front

What is the result of expanding the expression: 2(3x + 4)?

Back

6x + 8

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating unnecessary parentheses.