Combining Like Terms & Distributive Property

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Tags

CCSS.6.EE.A.3

Front

Simplify: 4x + 5(x - 2)

Back

9x - 10

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CCSS.6.EE.A.3

Front

Simplify: 3(9 + 2d) + 4d

Back

27 + 10d

Tags

CCSS.6.EE.A.3

Front

Simplify: -7x + 5(1 - 8x)

Back

5 - 47x

Tags

CCSS.6.EE.A.3

Front

Simplify: 4(8x + 1) - 6(1 - 8x)

Back

80x - 2

Tags

CCSS.6.EE.A.3

Front

Simplify: 4(-x - 6)

Back

-4x - 24

Tags

CCSS.6.EE.A.3

Front

What is a like term?

Back

A like term is a term that has the same variable raised to the same power as another term.

Tags

CCSS.6.EE.A.2B

Front

How do you apply the distributive property to the expression 2(3 + 4)?

Back

2(3 + 4) = 2*3 + 2*4 = 6 + 8 = 14.

Tags

CCSS.3.OA.B.5

Front

What is the first step in simplifying an expression using the distributive property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Tags

CCSS.6.EE.A.3