Combine Like terms and Algebraic Properties

Combine Like terms and Algebraic Properties

by Siddhi Shukla

​Grading for this Activity:

​This activity will be scored on two things: Effort and Correctness.

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• ​50% of score will be based on effort.

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• ​50% of score will be based on correctness.

​Part 1: Algebraic Properties​

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Use the notes to help you answer the questionson the next couple slides.​

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Multiple Choice

4.

Name the property shown below.

$$pq+n\ =qp+n$$  

• Commutative Property of Multiplication

• Commutative Property of Addition

• Associative Property of Addition

• Distributive Property

Multiple Choice

Name the property shown below.

$$6\ \left(m\cdot n\right)=\left(6\cdot m\right)n$$  

• Commutative Property of Multiplication

• Multiplicative Inverse

• Associative Property of Multiplication

• Distributive Property

Multiple Choice

Which of the choices represents the distributive property?

• $$6\left(u+2v\right)\ =\ 6u+6v$$  

• $$6\left(u+2v\right)=6\left(2v+u\right)$$  

• $$6\left(u+2v\right)=6u+12v$$  

• $$6\left(u+2v\right)=6v+12u$$  

Multiple Choice

What property is being used between lines 2 and 3?

• Associative Property

• Commutative Property

• Distributive Property

• Additive Identity

Multiple Choice

What property is being used in line 1?

• Associative Property

• Commutative Property

• Distributive Property

• Additive Identity

Multiple Choice

What property is being used between lines 1 and 2?

• Associative Property

• Commutative Property

• Distributive Property

• Additive Identity

​Part 2: Combining Like Terms​

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Use the notes to help you answer the questions on the next couple slides.​​

Multiple Choice

Simplify by combining like terms:

$$5a+2b-3a+4$$  

• $$8a+2b+4$$  

• $$2a+2b+4$$  

• $$7a-3b+4$$  

• $$4a-4$$  

Multiple Choice

$$4x^{2\ }-5x+11$$  Simplify by combining like terms:

$$4x^{2\ }-3x+11-2x$$  

• $$4x^{2\ }-5x+11$$  

• $$\ -3x+11$$  

• $$4x^{2\ }+5x-11$$  

• $$10x^2$$  

Multiple Choice

Which of these are like terms in the following expression:

3x + 7 - 9x + 24y + 2x²

• 7, 24y

• 3x, 9x

• 3x, -9x

• 3x, -9x, 2x²

Multiple Choice

.

Simplify the following expression by combining like terms:

3(2x - 4) + 6x - 1

• 12x - 13

• 12x - 5

• 11x - 2

• -x

Multiple Choice

Simplify:

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

• -80x - 2

• 80x + 2

• -80x + 2

• 80x - 2

Multiple Choice

Simplify:

-2(3m + 8) + 9(6m + 8)

• -53m + 69

• -53m + 64

• -46m + 64

• 48m + 56