4th Quarter Review #1
7th Grade Math
1) An electrician in
2)
Louisville, KY is cutting
sections of copper wire
from a coil that is 42
meters long. Each section
Simplify:
7 x  2  3x 2  9  x 3  x 2
Name: _________________
3) Find the missing side and the
scale factor.
1
3
is 2 meters long. How
4) Candice rode her
bike at a constant speed.
She traveled 36 miles in
1
1 hours. Find her unit
2
rate in miles per hour.
5) A ship is carrying
its cargo in 150
identical boxes. Each
box is a cube with an
edge length of 2
meters. What is the
total volume of cargo
that the ship is
carrying?
9) A restaurant offers
delivery service to
anywhere within a 6mile radius. What area
does the restaurant
delivery service cover?
10) In a scale
drawing of a sailboat
1
in = 4 ft. The
3
height of the sailboat
on the drawing is 9 in.
What is the actual
height of the sailboat?
1
many 2  meter
3
sections will she have
when she finishes?
x = __________
Scale Factor = _____________
6)

5
5

12
8
7)
b
 4  12
5
8) Find the scale factor from A to B
and B to C.
Scale Factor A to B = ____________
Area: ____________
Scale Factor B to C = ____________
11) Find the Volume and
Surface Area.
12) Last year, that
attendance at the
homecoming football game
was 300. This year, 360
people attended. What was
the percent increase from
last year to this year?
13) Find the area and
circumference.
14) Toby bought a
pair of jeans and a
sweater. The pair
of jeans costs $30
and the sweater
costs $35. If sales
tax is 6%, how
much did Toby
spend in total for
the jeans and
sweater?
15) Write and solve an
equation to find x. Then find the
measure of each missing angle.
Radius: ___________
V = ______________
S. A. = _____________
16) When John 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. If
John can only spend $170 for
the computer help his year, what
is the maximum number of help
sessions he can use this year?
Tax:
_______
Cost:
_____
Area: ____________
17) Appliances at Discount
City Store are on sale for
70% of the original price.
If the original price of a
microwave oven is $500
how much will Eli pay for
the oven?
Circumference: ________
18) Solve and graph.
3k  4  5k  20
19) Leah solved 40
arithmetic problems
1
in 2 minutes and
2
80 arithmetic
problems in 5
minutes. Find her
unit rate.
1 = __________
2 = __________
20) The rectangle below was
reduced by a scale factor of
to form a new rectangle.
15
25
a). Find the perimeter of the
new rectangle.
Perimeter = __________
Discount = ___________
Sale Price = ___________
b). Find the area of the new
rectangle.
Area = ______________
1
5