Simplifying Expressions including distributive property and factoring

by Jessica Danzer

| 15 QuestionsNote from the author:

Students simplify algebraic expressions including problems that involve distributive property, factoring and problems involving percents.

1

1

Expand the expression: x(-8 - 0.7y)

a) -8 - 0.7y

b) -8x - 0.7y

c) -8x - 0.7xy

d) My answer isn't listed

2

1

Expand and simplify the expression: -1.5(5 - 8y - 4)

a) -7.5 + 12y + 6

b) 7.5 - 12y - 6

c) -12y - 1.5

d) -12y + 1.5

e) My answer isn't listed

3

1

Expand the expression:

Type your answer without spaces

4

1

Select all that apply.

A) 10 + 5x - 15y

B) -10 + 5x - 15y

C) 5x - 15y - 10

D -15y - 10 - 5x

5

1

Marty simplified the expression 2(x - 2) - 2(3) as 2x - 8. Is he correct? Explain why or why not.

6

1

Simplify the expression -2x - 4y + 10 + 2x - 2y - 6. Type your answer in without spaces

7

1

Factor the expression -24x + 16y - 4. Type your answer without spaces

8

1

Select each choice below that has 2 as the GCF

A) 6 + 8y

B) 4 - 12x

C) 2x + 6y - 12

D) x - 4y + 16x

E) 24x - 16y

9

1

Jackie says that the expression 6x - 7xy can't be factored using a GCF. Is she correct? Explain why or why not.

10

1

Which of the following is equivalent to 9x - 27

A) 3(x - 9)

B) 3(3x - 9)

C) 3(3x - 7)

D) 9(x - 3)

E) x(9x - 3)

11

1

Simplify the following expression

A

C

D

12

1

Simplify the following expression: (7x - 9y) + (2x - 7) - (-x + 5). Type your answer in without spaces.

13

1

(0.55x - 0.8) - (0.6x - 0.55). Type your answer in without spaces

14

1

A store offers 30% off all items. If x is the original purchase price, which expression(s) represents the final price with the discount?

A) 0.7x

B) 1.3x

C) x - 0.3x

D) x + 0.3x

E) 1.03x

15

1

A new car costs the purchase price, plus a 7.5% tax. The cost of the car can be written

as x + 0.075x. Write an equivalent expression to show the cost of the car.

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