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Mastering Quadratics: Solving Real-World Problems

Authored by Anthony Clark

English, Mathematics

9th Grade

Mastering Quadratics: Solving Real-World Problems
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A ball is thrown upwards from a height of 2 meters with an initial velocity of 10 m/s. How long will it take for the ball to hit the ground? Use the quadratic formula to find the time.

1.50 seconds

3.00 seconds

2.08 seconds

4.25 seconds

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular garden has a length that is 3 meters longer than its width. If the area of the garden is 40 square meters, what are the dimensions of the garden? Solve using the quadratic formula.

Width: 4 meters, Length: 7 meters

Width: 6 meters, Length: 9 meters

Width: 3 meters, Length: 6 meters

Width: 5 meters, Length: 8 meters

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A company finds that the profit from selling x items is given by the equation P(x) = -2x^2 + 40x - 100. How many items should the company sell to maximize profit? Use the quadratic formula to find the number of items.

5

10

20

15

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The path of a projectile is modeled by the equation h(t) = -4.9t^2 + 20t + 5, where h is the height in meters and t is the time in seconds. When will the projectile hit the ground? Apply the quadratic formula to determine the time.

t ≈ 2.34 seconds

t ≈ 4.56 seconds

t ≈ 6.78 seconds

t ≈ 3.12 seconds

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car's distance from a starting point is modeled by the equation d(t) = 5t^2 + 10t, where d is in meters and t is in seconds. How long will it take for the car to reach 100 meters? Use the quadratic formula to solve.

8.3 seconds

4.1 seconds

6.0 seconds

2.5 seconds

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular swimming pool has a length that is twice its width. If the area of the pool is 200 square meters, what are the dimensions of the pool? Use the quadratic formula to find the width and length.

Width: 8 meters, Length: 16 meters

Width: 15 meters, Length: 30 meters

Width: 10 meters, Length: 20 meters

Width: 5 meters, Length: 10 meters

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The height of a triangle is 4 meters less than its base. If the area of the triangle is 48 square meters, what are the dimensions of the triangle? Solve using the quadratic formula.

Base: 10 meters, Height: 6 meters

Base: 14 meters, Height: 10 meters

Base: 12 meters, Height: 8 meters

Base: 16 meters, Height: 12 meters

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