Review on Factoring and Distributing Expressions

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

What does it mean to distribute in algebra?

Back

Distributing involves multiplying a single term by each term inside a set of parentheses, following the distributive property: a(b + c) = ab + ac.

Front

Factor the expression: 15a + 24

Back

3(5a + 8)

Front

Simplify the expression: 4q + 4t + 3q + t

Back

7q + 5t

Front

Factor the expression: 24c - 18

Back

6(4c - 3)

Front

Factor the expression: 5x + 5

Back

5(x + 1)

Front

Write the expression in factored form: 8x + 16

Back

8(x + 2)

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used in factoring expressions.

Front

How do you find the GCF of 15 and 24?

Back

The GCF of 15 and 24 is 3.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by multiple terms inside parentheses.