Factoring and Simplifying Expressions (7.EE.A.1)

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 simplify an expression?

Back

Simplifying an expression means to combine like terms and reduce it to its simplest form.

Front

Factor the expression: 12x + 9

Back

3(4x + 3)

Front

Factor the expression: 4x + 30y

Back

2(2x + 15y)

Front

Simplify by combining like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

Factor the expression: 5x - 35

Back

5(x - 7)

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

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

Factor the expression: 15x + 10

Back

5(3x + 2)

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share.