Factoring Linear 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

Factor the expression: 12x - 20

Back

4(3x - 5)

Front

True or False? 2x + 6 = 2(x + 3)

Back

True

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 two or more terms inside a set of parentheses.

Front

Simplify the expression: 3(2x - 4)

Back

6x - 12

Front

Factor the expression: 3 + 6x

Back

3(1 + 2x)

Front

Factor the expression: -8x - 10

Back

-2(4x + 5)

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form, making it easier to understand or solve.

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions evenly.

Front

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

Back

(x + 2)(x + 3)