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Radical Functions: Graphing and Finding Extraneous Solutions

Authored by Anthony Clark

English, Mathematics

9th Grade

CCSS covered

Radical Functions: Graphing and Finding Extraneous Solutions
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9 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A swimming pool is being filled with water. The volume of water in the pool can be modeled by the equation V = √(h), where h is the height of the water in meters. If the volume is 25 cubic meters, what is the height of the water? Graph the function and check for extraneous solutions.

25 meters

100 meters

50 meters

625 meters

Tags

CCSS.HSA.REI.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car travels a distance of d kilometers in t hours. The relationship can be modeled by the equation d = √(t). If the distance traveled is 36 kilometers, what is the time taken? Graph the function and identify any extraneous solutions.

36 hours

1296 hours

12 hours

144 hours

Tags

CCSS.HSA.REI.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular garden has a length that is 3 meters longer than its width. The area of the garden can be expressed as A = √(w(w + 3)). If the area is 50 square meters, find the width and graph the function to check for extraneous solutions.

Width is 5 meters.

Width is 8 meters.

Width is 10 meters.

Width is approximately 6.79 meters.

Tags

CCSS.HSA.REI.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rock is dropped from a height of h meters. The time it takes to hit the ground can be modeled by the equation t = √(h/4.9). If the rock takes 2 seconds to hit the ground, what was the height from which it was dropped? Graph the function and identify any extraneous solutions.

9.8 meters

19.6 meters

24.5 meters

15.0 meters

Tags

CCSS.HSA.REI.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular pool has a width of x meters and a length of x + 5 meters. The area of the pool is 60 square meters. Write the equation for the area and solve for x. Graph the function and check for extraneous solutions.

x = 3

x = 5

x = 0

x = 10

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A cyclist travels a distance of d kilometers in t hours. The relationship can be modeled by the equation d = √(t + 1). If the distance traveled is 9 kilometers, what is the time taken? Graph the function and identify any extraneous solutions.

20 hours

5 hours

80 hours

50 hours

Tags

CCSS.HSA.REI.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A square garden has a perimeter of P meters. The relationship can be modeled by the equation P = 4√(s), where s is the length of a side. If the perimeter is 64 meters, find the length of a side and graph the function to check for extraneous solutions.

64 meters

256 meters

16 meters

32 meters

Tags

CCSS.HSA.REI.A.2

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