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Quadratic Equations: Real-World Problem Solving

Authored by Anthony Clark

English, Mathematics

9th Grade

CCSS covered

Quadratic Equations: Real-World Problem Solving
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10 questions

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1.

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 70 square meters, what are the dimensions of the garden?

Width: 5 meters, Length: 8 meters

Width: 8 meters, Length: 11 meters

Width: 7 meters, Length: 10 meters

Width: 6 meters, Length: 9 meters

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A ball is thrown upwards from a height of 1.5 meters with an initial velocity of 10 meters per second. The height of the ball in meters after t seconds is given by the equation h(t) = -4.9t^2 + 10t + 1.5. How long will it take for the ball to hit the ground?

1.75 seconds

3.10 seconds

2.24 seconds

4.50 seconds

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The product of two consecutive integers is 72. What are the integers?

9 and 10

8 and 9

7 and 8

6 and 7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A company finds that the profit P (in dollars) from selling x items is given by the equation P(x) = -2x^2 + 40x - 100. How many items should the company sell to maximize its profit?

10

5

15

20

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A projectile is launched from the ground with an initial velocity of 20 meters per second. The height h (in meters) of the projectile after t seconds is given by h(t) = -5t^2 + 20t. When will the projectile reach its maximum height?

4 seconds

2 seconds

1 second

3 seconds

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The area of a triangular field is 120 square meters. If the base of the triangle is 10 meters, what is the height of the triangle?

30 meters

12 meters

18 meters

24 meters

Tags

CCSS.6.G.A.1

7.

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?

Width: 5 meters, Length: 10 meters

Width: 15 meters, Length: 30 meters

Width: 8 meters, Length: 16 meters

Width: 10 meters, Length: 20 meters

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