4th Quarter Review #5
7th Grade Math
1) Which expression is
equivalent to
4
2
x4 ?
3
3
2) What is the value of
the expression when
x  5 and y  4
for the expression:
1
yx
2
4
( x  2)
3
2
b). ( 2 x  4)
3
1
c). ( 4 x  6)
3
2
d). ( 2 x  7)
3
a).
6)
15  2
1
3
3) Bars of soap come
in packages of 6 and
packages of 20. The 6bar pack costs $7.86
and the 20-bar pack
costs $25. Which
package has the
cheapest unit rate
price?
Name: _________________
4) On a winter Monday in
Prescott, the temperature at
o
8 a.m. was  8 F .
o
At 1 p.m. it was 27 F .
What was the average
temperature change per
hour?
5)
Find the scale factor.
Original
New
Scale Factor = ____________
7)
Simplify:
8) If three eggs in a
carton of twelve eggs
5(4 x  1)  3(5 x  7) are cracked. What
percent of the dozen is
cracked?
9) Find the radius, area, and
circumference of the circle.
10) Jared wants to put this picture
in a magazine in a space that is 4
inches wide. If he enlarges the
picture proportionally so that it is 4
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 1080 cm 3 , find the
width of the tank given the
height is 10 cm and the
length is 12 cm.
12)  A and  B are
complementary.  A is 10
less than 3 times  B .
Write and solve an equation
to find the measure of B.
13) Which expression
has a value of -3?
a).
b).
c).
d).
 7  (4)
 4  ( 7 )
 7  ( 4 )
 4  (7)
14) An architect created
a scale drawing of the
front of a house using the
scale 1 in = 20 ft.
According to the scale,
what will be the length of
the front of the actual
house if the house is
15) Bob’s yard is in the shape
of a trapezoid. Find the area
and perimeter of his yard.
1
3 inches on the scale
2
drawing?
Area = ___________
width = ______________
16) Jason’s bill, before tax,
is $50. The sales tax rate is
8.5%. Jason decides to leave
a 2% tip for the server based
on the bill before taxes. How
much will the total bill be,
including tax and tip?
Perimeter = ___________
 B = _____________
17) Mary’s table has an
area of 132 ft 2 . If the length
of the table is 12 ft., what is
the perimeter of the table?
x
12
Perimeter = _________
18) Solve and graph.
x  16
7
3
19) Nicole sets a goal to
exercise 4 hours this
week. On Mon. and
Tues. she goes to the
gym for 45 min. each
day. On Wed. she jogs
1
for hr. On Thurs. she
2
plays tennis for 90 min.
How much more time
does she need to exercise
to meet her goal?
20) Which of the following has
the smallest area?
a). Circle with diameter 5 ft.
____________________
b). Triangle with base of 5 ft.
and height 8 ft.
______________________
c). Square with side length
of 5 ft.
______________________