Expand and Factor Expressions

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor they have in common.

Front

Factor the expression 14x + 28y + 21 using the GCF.

Back

7(2x + 4y + 3)

Front

What is the GCF of 20 and 36?

Back

4

Front

What is the GCF of 12 and 36?

Back

12

Front

Use the distributive property to expand the expression: 2(y + 5x).

Back

2y + 10x

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

Factor the expression -20a - 8 + 12b.

Back

4(-5a - 2 + 3b)

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler expressions that can be multiplied together to get the original expression.

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (like +, -, *, /) that represents a value.