Simplifying Expressions including distributive property and factoring
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by Jessica Danzer
| 15 Questions
Note 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:
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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