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 GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers share.

Front

How do you factor the expression 12x - 20?

Back

The expression can be factored as 4(3x - 5).

Tags

CCSS.7.EE.A.1

Front

What is the first step in simplifying the expression -3(5a + 2 - 3c)?

Back

The first step is to distribute -3 to each term inside the parentheses.

Tags

CCSS.6.EE.A.3

Front

What is the result of distributing -3 in the expression -3(5a + 2 - 3c)?

Back

The result is -15a - 6 + 9c.

Tags

CCSS.6.EE.A.3

Front

What is the factored form of 16xy - 24y?

Back

The factored form is 8y(2x - 3).

Tags

CCSS.7.EE.A.1

Front

How do you factor out the GCF from 3x^3 + 9x?

Back

You factor out 3x, resulting in 3x(x^2 + 3).

Front

What is the purpose of simplifying expressions?

Back

Simplifying expressions makes them easier to work with and understand, especially when solving equations.

Tags

CCSS.7.EE.A.1

Front

What is an example of a polynomial expression?

Back

An example of a polynomial expression is 2x^2 + 3x - 5.

Front

What does it mean to simplify the expression 2x(x)?

Back

It means to multiply the terms, resulting in 2x^2.