Radical Expressions & Equations: 8th Grade Challenge
Authored by Anthony Clark
English, Mathematics
8th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A square garden has an area of 144 square feet. What is the length of one side of the garden? Simplify your answer using a radical expression.
16
12
14
10
Tags
CCSS.8.EE.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has one leg measuring 6 feet and the other leg measuring 8 feet. What is the length of the hypotenuse? Use a radical expression to express your answer.
12 feet
8 feet
10 feet
14 feet
Tags
CCSS.8.G.B.7
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The length of a rectangular swimming pool is 10 feet longer than its width. If the area of the pool is 300 square feet, find the width using a radical equation.
5(√13 - 1)
8(√5 - 3)
4(√15 - 2)
6(√10 - 1)
Tags
CCSS.8.EE.A.2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ladder is leaning against a wall, forming a right triangle with the ground. If the base of the ladder is 4 feet from the wall and the ladder is 8 feet long, how high up the wall does the ladder reach? Solve using a radical equation.
5 feet
4√3 feet
6 feet
3√2 feet
Tags
CCSS.8.EE.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A square has a perimeter of 40 meters. What is the length of one side expressed as a simplified radical?
√(80)
√(64)
√(36)
√(100)
Tags
CCSS.7.EE.B.3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The area of a circular garden is 50π square meters. What is the radius of the garden? Provide your answer in simplified radical form.
5√3
4√2
10
5√2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular box has a volume of 64 cubic inches. If the height is 4 inches, what is the area of the base? Use a radical expression to find your answer.
20
12
24
16
Tags
CCSS.8.EE.A.2
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