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 does it mean to simplify an expression?

Back

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

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that two or more numbers have in common. It is used to simplify expressions.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 2x = 5x.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parentheses.

Front

Simplify the expression: -8 (5b + 2) - 7 (b - 5)

Back

-47b + 19

Front

Simplify the expression: -6x + 4(-x - 3)

Back

-10x - 12

Front

What is the result of 2a - 7a?

Back

-5a

Front

Find the GCF of 15n^3 + 25n^2.

Back

5n^2