Factoring and Simplifying 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 is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used to simplify expressions by factoring out the GCF.

Front

Factor the expression: 12x - 20

Back

4(3x - 5)

Tags

CCSS.7.EE.A.1

Front

Simplify the expression: - (2x + 7)

Back

-2x - 7

Tags

CCSS.7.EE.A.1

Front

Combine like terms: 3/2x – y + ½x + 3y

Back

2x + 2y

Tags

CCSS.7.EE.A.1

Front

Factor out the GCF from: 3x^3 + 9x

Back

3x(x^2 + 3)

Front

Factor completely: -3x - 15

Back

-3(x + 5)

Tags

CCSS.7.EE.A.1

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and removing parentheses.

Tags

CCSS.7.EE.A.1

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Tags

CCSS.6.EE.A.2B

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents.