Factoring and Expanding 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 expand an expression?

Back

Expanding an expression means to multiply out the factors and simplify it into a sum or difference.

Tags

CCSS.7.EE.A.1

Front

Factor the expression: 4x + 30y.

Back

2(2x + 15y)

Tags

CCSS.7.EE.A.1

Front

Is the expression 10(x - 5) = 10x - 50 expanded correctly?

Back

Yes, this is right!

Tags

CCSS.6.EE.A.3

Front

Factor the expression: -6z + 42.

Back

-6(z - 7)

Tags

CCSS.7.EE.A.1

Front

Factor the expression: 5x + 20.

Back

5(x + 4)

Tags

CCSS.7.EE.A.1

Front

Factor in simplest form: 6x + 12.

Back

6(x + 2)

Tags

CCSS.7.EE.A.1

Front

What is the greatest common factor (GCF)?

Back

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

Front

How do you find the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6.

Front

What is a binomial expression?

Back

A binomial expression is a polynomial with exactly two terms.