4th Quarter Review #6
7th Grade Math
1) Which expression
represents the distance
between –12 and –5 on a
number line?
a).  12  (5)
b).  12  5
2) What is the
value of the
expression when
x  8 and
y  6 for the
expression:
1
yx
2
Name: _________________
3) Mr. Borkowski ordered
4) In the figure below, CBA
3 boxes of pens for the
and ABD are supplementary.
supply room. There are 12
CBA = (5x  26)o
pens in each box. If there
o
are now a total of 96 pens in ABD = (6 x)
What is mCBA ?
the supply room, including
the ones Mr. Borkowski
ordered, how many boxes of
pens were already in there
before his order arrived?
5) Find the missing side (x)
and area of the large triangle.
c).  12  (5)
d). 12  5
x = _______
mCBA = ______________
6)
Evaluate:
1
3
  15  
3
2
7) Change
a decimal.
5
to
6
8) In 2
1
hours, Nick
4
9) Find the radius, area, and
circumference of the circle.
wrote 36 text messages.
What was his unit rate
during that time?
Area = ____________
10) Jared wants to put this
picture in a magazine in a space
that is 8 inches wide. If he
enlarges the picture
proportionally so that it is 8
inches wide, how tall will it be?
1
2 in.
8
Radius: ___________
Area: ____________
Circumference: _______
1
1 in.
2
11) If the volume of
the prism is 54 cm 3 , find
the width given the
height is 9 cm and the
length is 3 cm.
12) Graph and connect the
following points, then find the
area of the figure.
(-4, 5) (3, 5) (0, -4)
13) Marilyn’s recipe for
3
lemonade calls for cup
4
1
of sugar for every cup of
2
lemon juice. Which
expression represents this
relationship? Let s = cups
of sugar and L = cups of
lemon juice.
a).
b).
c).
width = _______
Area = _____________
d).
16) A soup kitchen
cooks up a total of 200
cups of soup. If their
standard serving size is
17) A dollar bill has an area of 18) Solve and graph.
12 in 2 . If the length of the bill is
6 in., what is the perimeter of
x
 15  13
the dollar bill?
3
1
2 cups, how many
2
servings can they hand
out at most?
3
L s
8
2
L s
3
1
L 1 s
2
2
L3 s
3
x
6 in.
14) An architect
15) Bella’s yard is in the shape
created a scale
of a trapezoid. Find the area
drawing of the front of and perimeter of his yard.
a house using the scale
1 in = 11.5 ft.
According to the scale,
what will be the length
of the front of the
actual house if the
house is
1
4 inches on the scale
2
drawing?
Area = ___________
Perimeter = ___________
1
of a
3
1
water bottle in of a
6
19) Ethan fills
minute. How much
time will it take him to
fill the bottle?
20) Which of the following has
the smallest area?
a). Circle with diameter 7 ft.
____________________
b). Triangle with base of 7 ft.
and height 3 ft.
______________________
c). Square with side length
of 7 ft.
Perimeter = _________
______________________