Rational Exponents in Real-World Word Problems
Authored by Anthony Clark
English, Mathematics
9th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A gardener is planting a tree that grows at a rate of 1/2 of its height each year. If the tree is currently 16 feet tall, how tall will it be after 3 years? Solve for the height using rational exponents.
48 feet
32 feet
40 feet
54 feet
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car's value decreases by 20% each year. If the car is currently worth $25,000, what will its value be after 2 years? Use a rational exponent to find the answer.
$20,000
$16,000
$22,000
$18,000
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular garden has a length that is 4 times its width. If the area of the garden is 64 square feet, what is the width of the garden? Solve the equation using rational exponents.
4 feet
2 feet
8 feet
16 feet
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A scientist is studying bacteria that double in number every hour. If there are currently 100 bacteria, how many will there be after 5 hours? Use rational exponents to solve the problem.
2000
1500
4000
3200
Tags
CCSS.HSF.LE.A.4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A cube has a volume of 729 cubic inches. What is the length of one side of the cube? Use rational exponents to find the side length.
9 inches
6 inches
12 inches
15 inches
Tags
CCSS.8.EE.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A student is saving money for a new laptop. If she saves $200 and her savings grow at a rate of 5% per year, how much will she have after 3 years? Use a rational exponent to calculate her total savings.
200.00
250.00
210.00
231.53
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A water tank is filled to 1/4 of its capacity. If the tank can hold 1000 liters, how many liters of water are currently in the tank? Solve using rational expressions.
500 liters
250 liters
750 liters
100 liters
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