Name _______________________________
Period ____
Date ____________________
Math 7H
Expanding, Factoring, and Translating Expressions Review Quiz
Part A: Find the GCF of each set of term
1) 72 and 108
2) 64x and 80
3) 42x and 18x
Part B: Factor each expression.
4)
25a 15
5)
12  36x
6)
1
c2
4
7)
5a  10b  5
8)
 22 x  33 y
9)
12 fg  18 g
Part C: Expanding vs. Factoring
10) What is the difference between factoring an expression and expanding it?
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____________________________________________________________________
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11) Tell whether each expression can be factored or expanded, then factor or expand it.
a)  24 x  16
b)  4( 2u 
c)
1
w)
2
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2ab  abc  4ac
d)
___________________________________________
(3n  2m)  5(m  2n)
___________________________________________
Name _______________________________
Period ____
Date ____________________
Math 7H
Part D: Translating Expressions
12) What is the main difference between an expression and an equation?
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13) Fill in the chart below using the following words…
half
into
product
total
twice
from
amount of
of
fewer than
quotient
added to
sum
divided by
less than
is
more than
same as
greater than
some number
difference
ADDITION
SUBTRACTION
MULTIPLICATION
DIVISION
VARIABLE (x)
EQUAL
14) Fill in the flip flops with the appropriate “FLIP FLOP” words from the chart above.
Then explain why they are named “Flip-Flop” words.
Answer: _________________________________
_________________________________
_________________________________
_________________________________
_________________________________
Name _______________________________
Period ____
Date ____________________
Math 7H
15) Circle “expression” or “equation” for each question, and then translate them. Be sure to
use let statements. (3 points each)
a) “5 less than half the amount of
cookies.” Expression OR Equation
Answer _____________________
b) “45 is 10 more than triple Jim’s score.”
Expression OR Equation
Answer _____________________
16) When Matt bought his new computer, he purchased an online computer help
service. The help service has a yearly fee of $25.50 and a $10.50 charge for
each help session a person uses.
Part A
Write an expression that represents the cost of using the help service Matt
purchased.
Answer ____________________________
Part B
Use your expression to find the cost if the service if Matt used the service 3
times in the 2 years he has had the computer.
Show your work
Answer ____________________________
17) Melissa earns $50 delivering pizza every week. She also gets paid $2 for every pizza she
delivers on time.
Part A
Write an expression to show the total salary Melissa will earn in a week if all her pizzas
are delivered on time.
Answer ____________________________
Part B
Use your expression to find out much Melissa was paid this week for delivering 62 pizzas
on time.
Show your work
Answer ______________________________________________________________________