Factoring and Expanding Algebraic Expressions

Front

Expand: 2(3m+n-7)

Back

6m+2n-14

Front

Distribute: 7(x-9)

Back

7x-63

Front

Expand: -7(3x+5)

Back

-21x-35

Front

Factor the expression: 21x-36

Back

3(7x-12)

Front

Distribute: 4(x-4)

Back

4x-16

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 expand an expression?

Back

Expanding an expression means to multiply out the factors and simplify the expression.

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 each term inside a parenthesis.

Front

Expand: 5(2x + 3)

Back

10x + 15

Front

Factor the expression: x^2 + 5x + 6

Back

(x + 2)(x + 3)