4 Quarter Review #4 Name: _________________

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4th Quarter Review #4
7th Grade Math
1) Howard picks apples
at an orchard. He earns
$4.35 for each hour he
works and $2.20 for each
bushel he picks. His goal
is to earn at least $100 this
week. Which inequality
will help Howard
determine the number of
hours (h) and bushels (b)
he needs to reach his goal?
a). 4.35h  2.20b  100
b). 4.35h  2.20b  100
c). 4.35h  2.20b  100
d). 4.35h  2.20b  100
6)
1
4   9 
8
2) Change
14
into a
3
decimal.
7)
Simplify:
4(3x  6)  3(2 x  9)
3) Tim has a fish tank.
He wants to know how
much water it will take to
5
fill it to of its
6
capacity. Tim pours 20
quarts of water into the
tank and realizes that it is
1
full. How many
6
gallons does he still
need?
8) A rectangular piece
of land will be divided
diagonally into two
congruent triangular
sections. One section
will be covered with
grass, and the other
section will be paved.
The blueprint
measurements for the
piece of land are 5 inches
wide by 12 inches long.
1
The scale is in = 10 ft.
4
How much area will be
paved?
Name: _________________
4) On a drawing, Mr.
5) Find the surface area.
Byrd’s living room has a
scale of 3 : 2 (length to
width). If the actual living
room is 18ft. in length, find
the width and perimeter of the
living room.
Width = __________
Perimeter = _________
S. A. = ________________
9) Find the radius, area,
and circumference of the
circle.
10) Tim wants to put this picture
on the school webpage in a space
that is 6 inches tall. If he enlarges
the picture proportionally so that
it is 6 inches tall, how wide will it
be?
1
2 in.
2
Radius: ___________
Area: ____________
Circumference: _______
1
1 in.
4
11) If the volume of the
fish tank is 240 units 3 , find
the height of the tank.
height = ______________
16) Melissa divided 5
dozen flowers into 3 baskets
to give as presents. The first
basket had ( x  8) flowers,
the second basket had ( 2 x)
flowers, and the third basket
had ( x  12) flowers. How
many flowers were in the
basket that had the most
flowers?
12) Describe the
relationship of ABD and
13)
DBC
5a 4  2a 2  3a 2  7a
a).
b).
c).
d).
Simplify:
14) Antonio can drive
15) Find the area of the unhis car 1,433.44 miles on shaded region if the length of
a single tank of gas. If
one side of the square is 4 cm.
his car can hold 24.8
gallons of gas, what is his
car’s average gas
mileage?
Vertical & Complementary
Adjacent & Complementary
Vertical & Supplementary
Adjacent & Supplementary
17) Matt’s garden has an
area of 120 m 2 . If the length
of the garden is 15 m, what
is the perimeter of the
garden?
x
15
Perimeter = _________
18)
Solve and graph.
2w  5  11
19) At Country
20) Which of the following has
Landscape, Mr.
the smallest area?
McDonald can buy 12
three-pound-bags of
mulch for $24. How
a). Circle with diameter 9 ft.
many bags can he buy for
____________________
$200?
b). Triangle with base of 20 ft.
and height 11 ft.
______________________
c). Square with side length
of 10.5 ft.
______________________
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