4 Quarter Review #3 Name: _________________

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4th Quarter Review #3
7th Grade Math
1) Smith’s Video Store
charged $2.40 for each
video rented plus a $1.00
surcharge. The store
decided to lower the
surcharge to $0.50. Which
equation represents the
new cost of renting m
videos?
a). P  1.90m  1.00
b). P  1.90m  0.50
c). P  2.40m  0.50
d). P  2.40m  1.50
6)
1 
1
4   6 
3 
4
2) Change
2
into a
9
decimal.
1
of a bucket of
3
1
sand covers of a
9
playground, then how
much sand is needed for
the entire playground?
3)
If
Name: _________________
4) Anthony repairs bicycles.
5) Write and solve an equation to
He charges $5.00 for each
find x. Then find the measure of
bicycle plus $10.00 for each
each angle.
hour (h) of work required to
repair it. The formula
i  5  10h represents
Anthony’s income (i) for each
bicycle repair. Anthony’s
income for repairing Steve’s
bicycle was $75.00. How
many hours did he work on
Steve’s bicycle?
mPOS = __________
mSOR = __________
mROQ = __________
7)
Simplify:
 2( x  5)  3(2 x  3)
8) A computer that
originally cost $720 is on
sale at 20% off. There is
a tax of 5% that is
charged after the
discount. Including the
discount and tax, what is
the price of the
computer?
9) A sticker has a
diameter of 5 inches. Find
the radius, area, and
circumference of the
sticker.
Radius: ___________
Area: ____________
Circumference: _______
10) Brian wants to put this
picture in the school newspaper in
a space that is 5 inches tall. If he
enlarges the picture proportionally
so that it is 5 inches tall, how wide
will it be?
1
2 in.
2
1
1 in.
4
11) Find the volume of the
cube.
12) Charlene has eight
more dollars than Megan.
Together they have $86.00.
Which equation can be used
to determine the amount of
money, m, Megan has?
a).
b).
c).
d).
13)
Simplify:
10a 2  4a  3a 2  11a
m  (m  8)  86
m(m  8)  86
m  8m  86
m  m(8m)  86
14) The formula to
convert temperature in
degrees Celsius to
Fahrenheit is
F  1.8C  32. If the
temperature outside is
 3 o C , what is the
temperature in o F ?
15) Triangle ABC is similar to
DEF. Find the value of x.
19) On a tree farm, 15%
of the trees planted are
20) The rectangle below was
enlarged by a scale factor of 2
to form a new rectangle.
V = ______________
16) A bank reports these
changes in interest rates over
the course of 4 days:
1  7 2  8
,
, ,
, what is
9
9
9 9
17) Katie’s swimming pool
has an area of
450 m 2 . If the length of the
pool is 30 m, what is the
perimeter of the pool?
the average daily change?
18)
Solve and graph.
 3w  3  18
pine, 2 are oak, 1 are
5
4
1
maple, and are fruit
5
trees. Of these four types
of trees, which type has
been planted the most?
x
30
Perimeter = _________
6
10
a). Find the perimeter of the
new rectangle.
Perimeter = __________
b). Find the area of the new
rectangle.
Area = ______________
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