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 reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Tags

CCSS.7.EE.A.1

Front

Factor the expression: 8x + 40

Back

8(x + 5)

Tags

CCSS.7.EE.A.1

Front

Simplify the expression: 6 + 2(7x - 3)

Back

14x

Tags

CCSS.6.EE.A.3

Front

Factor the expression: 4x + 30y

Back

2(2x + 15y)

Tags

CCSS.7.EE.A.1

Front

Simplify the expression: 3 + 5x + 8 - 2x

Back

11 + 3x

Tags

CCSS.7.EE.A.1

Front

What is a like term?

Back

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

Tags

CCSS.6.EE.A.2B

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 each term inside a parentheses.

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CCSS.6.EE.A.3

Front

Factor the expression: 10n - 13

Back

This expression is already in its simplest form and cannot be factored further.

Tags

CCSS.7.EE.A.1

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest power of the variable is one.

Tags

CCSS.6.EE.A.2C