Factoring, the Distributive Property, Combining Like Terms

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

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. For example, 3x + 4x = 7x.

Front

Factor the expression: 8x - 10

Back

2(4x - 5)

Front

What is the result of applying the Distributive Property to (x - 6)4?

Back

4x - 24

Front

Factor the expression: 16x + 32

Back

16(x + 2)

Front

What is a factor in mathematics?

Back

A factor is a number or expression that divides another number or expression evenly, without leaving a remainder.

Front

Factor the expression: 51 + 9x

Back

3(17 + 3x)

Front

What is the first step in factoring an expression?

Back

The first step in factoring is to look for the greatest common factor (GCF) of the terms in the expression.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

Front

What is the GCF of 8 and 10?

Back

The GCF of 8 and 10 is 2.