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Finding Roots: Real-Life Quadratic Challenges

Authored by Anthony Clark

English, Mathematics

8th Grade

CCSS covered

Finding Roots: Real-Life Quadratic Challenges
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A gardener is planting a rectangular flower bed. The area of the bed is 144 square feet, and the length is 12 feet. What is the width of the flower bed?

10 feet

14 feet

16 feet

12 feet

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A ball is thrown into the air, and its height in feet can be modeled by the equation h(t) = -16t^2 + 32t + 48, where t is the time in seconds. What are the times when the ball hits the ground?

4 seconds

2 seconds

3 seconds

5 seconds

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular pool has a length that is 3 feet longer than its width. If the area of the pool is 54 square feet, what are the dimensions of the pool?

Width: 6 feet, Length: 9 feet

Width: 7 feet, Length: 10 feet

Width: 4 feet, Length: 7 feet

Width: 5 feet, Length: 8 feet

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The path of a projectile can be modeled by the equation h(t) = -4.9t^2 + 20t + 5. Find the time when the projectile reaches its maximum height.

1.50 seconds

2.04 seconds

3.00 seconds

4.10 seconds

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A square garden has an area of 64 square meters. What is the length of one side of the garden?

6 meters

12 meters

8 meters

10 meters

Tags

CCSS.8.EE.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car's distance from a starting point can be modeled by the equation d(t) = t^2 - 6t + 8. At what times does the car return to the starting point?

t = 0, t = 5

t = 2, t = 4

t = 1, t = 3

t = 2, t = 6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular field has a perimeter of 60 meters. If the length is 5 meters more than the width, what are the dimensions of the field?

Width: 12.5 meters, Length: 17.5 meters

Width: 10 meters, Length: 15 meters

Width: 20 meters, Length: 25 meters

Width: 5 meters, Length: 10 meters

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