Real Numbers — Unit test Answers

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How many liters of water should be added to 18 liters of a 14% bleach solution so that the resulting solution contains only 10% bleach? Original (L)Added (L)New (L)Amount of Bleach2.520 Amount of Solution18x

A
1.8 liters
B
7.2 liters
C
15.5 liters
D
25.2 liters
2
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A plane flies round-trip to Philadelphia. It flies to Philadelphia at 220 miles per hour and back home with a tailwind at 280 miles per hour. If the total flying time takes 6.5 hours, how many miles does the plane fly round trip?

A
560 miles
B
800.8 miles
C
1,300 miles
D
1,601.6 miles
3

Marina can bicycle 19.5 miles in the same time it takes her to run 6 miles. She bikes 9 miles per hour faster than she runs. At what speed does Marina run? Distance (mi)Rate (mph)Time (hr)Bicycling19.5Running6r

Question illustration
A
4 mph
B
5 mph
C
9 mph
D
13 mph
4

Carlon plans to evaporate a number of gallons of water from 90 gallons of a 15% salt solution to make a 25% salt solution. Which equation can he use to find x, the number of gallons that should be evaporated? Original (Gallons)Removed (Gallons)New (Gallons)Amount of Salt13.5 0 Amount of Solution90 x

A
StartFraction 13.5 Over 90 minus x EndFraction = StartFraction 25 Over 100 EndFraction
Option A
B
StartFraction 13.5 Over x EndFraction = StartFraction 25 Over 100 EndFraction
Option B
C
13.5 (90 minus x) = 0.25
Option C
D
13.5 (90 minus x) = 25
Option D
5

Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find the number of hours, x, it would take for Bethany and Colin to mow the lawn together? Rate(Lawns per Hour)Time(Hours)Fraction CompletedBethanyxxColinxx

Question illustration
A
3 + 4 = x
Option A
B
One-fourth x minus one-third x = 1
Option B
C
One-fourth x + one-third x = 1
Option C
D
4 minus 3 = x
Option D
6

At a furniture manufacturer, worker A can assemble a shelving unit in 5 hours. Worker B can assemble the same shelving unit in 3 hours. Which equation can be used to find t, the time in hours it takes for worker A and worker B to assemble a shelving unit together? Rate(Shelving Units per Hour)Time(Hours)Fraction CompletedWorker At Worker Bt

Question illustration
A
5 t + 3 t = 1
Option A
B
One-fifth t minus one-third t = 1
Option B
C
One-fifth t + one-third t = 1
Option C
D
5 t minus 3 5 = 1
Option D
7

Four cups of pure water are added to a 20-cup bowl of punch that is 75% juice. What percentage of the new punch is juice? Original(Cups)Added(Cups)New(Cups)Amount of Juice150 Amount of Punch204

A
27%
B
37.5%
C
62.5%
D
75%
8

The table below represents Bree’s trip from her home to the library and back. On her way to the library, she travels at 6 miles per hour. On her way home, she travels at 12 miles per hour. The total travel time is 2 hours. Which equation can be used to find the distance in miles from Bree’s house to the library? Distance (mi)Rate (mph)Time (hr)Trip to Libraryx6 mphTrip to Homex12 mph

Question illustration
A
StartFraction x Over 6 EndFraction + StartFraction x Over 12 EndFraction = 2
Option A
B
StartFraction x Over 6 EndFraction times StartFraction x Over 12 EndFraction = 2
Option B
C
6 + 12 = x
Option C
D
6 times 12 = x
Option D
9

Lilly takes a train each day to work that averages 35 miles per hour. On her way home, her train ride follows the same path and averages 45 miles per hour. If the total trip takes 2.5 hours, which equation can be used to find n, the number of miles Lilly’s home is from her work? Distance(mi)Rate(mi/hr)Time(hr)Trip to Workn35 mph Trip Homen45 mph

A
StartFraction n Over 35 EndFraction times StartFraction n Over 45 EndFraction = 2.5
Option A
B
StartFraction n Over 35 EndFraction + StartFraction n Over 45 EndFraction = 2.5
Option B
C
35 n + 45 n = 2.5
Option C
D
35 n times 45 n = 2.5
Option D
10

Renee can sew a 25-square-foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to sew the quilt working together? Rate(Quilts per Hour)Time(Hours)Fraction CompletedReneex Generax

Question illustration
A
6 hours
B
hours
Option B
C
hours
Option C
D
28 hours

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