Unit 5
Alana drove 1,400 miles from Detroit to
Miami. If her car averages 28 miles per
gallon and the capacity of her gas tank is
24 gallons, how many times did she have to
fill up her gas tank along the way, assuming
she started with an empty tank?
3 times
Find the value of x in the solution to the
system of equations shown below.
2x - 5y = 34 and y = 3x - 25
x = 7
If angle A is complementary to angle B, angle B is
supplementary to angle C, and m angle A = 59 degree
find m angle C.
149 degrees
The area of Triangle A is 261 feet and
the area of Triangle B is 116 feet. If the
perimeter of Triangle B is 32 square feet,
find the perimeter of Triangle A.
48 ft
What number do you get if you multiply all the numbers on a smartphone keypad?
0
Stacy put $650 in a bank account that earns
7% simple interest. How much total will
she have in the account after 20 years?
$1560
Solve the following System:
3x + y = -17 and 4x - 9y= -2
(-5, -2)
If a polygon has 14 sides, find the sum of
the measures of its interior angles.
2160 degrees
A sandbox in the shape of a rectangular
prism is 7 feet long, 5 feet wide, and 1 foot
tall. If six inches is added to the height, how
much more sand can it hold?
17.5 cubic feet
What is the similarity between 2+2=5 and your left hand?
Neither are right
Find the slope of the line that passes through
the points (-6, 5) and (-6, 8).
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Solve the following system:
x-2y = -20 and x - 5y = -47
(-2, 9)
Starting from a tree, Cole and Logan run
24 feet south. Then, Cole runs 18 feet east
while Logan runs 45 feet west, then they
both stop. How many feet closer to the tree
is Cole than Logan?
21 ft
Find the volume of a sphere with a radius of
12 inches to the nearest tenth of a cubic
inch.
7,238.2 cubic inches
How many sides does a circle have?
Two — the inside and the outside.
Find the slope of the line that passes through
the points (2, -1) and (-2, 9). Write your
answer as a fraction in simplest form.
-5/2
Find the solution:
y=2x - 8 and 6x - 3y=24
Infinite Solutions
A fireman has a 28-foot ladder. In order to
reach a point 25 feet up a building, about
how far away from the building should he
place the bottom of the ladder?
12.6 ft
The radius of a cylinder is 2 feet. How will
the volume of the cylinder be affected if
4 feet is added to the radius?
The volume will multiply by 9.
If you have 30 red socks, 20 white socks, and 10 blue socks, how many will you pick to get at least 1 matching pair without looking?
4
At 11:59 p.m. on December 31st, the Times
Square Ball in New York City was 725 feet
above ground. One minute later, it was 584
feet above ground. Which of the following
gives the rate of change of the ball in feet
per second?
-2.35 ft/s
It costs $31.25 for one box of candy and
four large bags of popcorn at the movie
theater. For three boxes of candy and five
large bags of popcorn, it costs $46.50. How
much does a large bag of popcorn cost?
$6.75
A wire is securely attached from the top of
a 26-foot pole to a stake on the ground
14 feet from the base of the pole. Find the
length of the wire to the nearest tenth of a
foot.
29.5 ft
The triangles below are similar. If the
perimeter of Triangle A is 52 feet and the
perimeter of Triangle B is 13 feet, find the
ratio of the area of Triangle A to Triangle B.
16 to 1
On a farm, there are ducks and cows. There are 18 legs and 7 heads in total. How many ducks are there?
5 ducks and 2 cows.