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Quadratic Equations in Real Life: Application & Factoring

Authored by Anthony Clark

English, Mathematics

9th Grade

Quadratic Equations in Real Life: Application & Factoring
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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? Use the quadratic formula to find the width.

Width: 7 meters, Length: 10 meters

Width: 5 meters, Length: 8 meters

Width: 8 meters, Length: 11 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

2.24 seconds

3.10 seconds

4.50 seconds

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The path of a projectile is modeled by the equation h(t) = -16t^2 + 32t + 48, where h is the height in feet and t is the time in seconds. When will the projectile reach its maximum height?

1 second

1.5 seconds

0.5 seconds

2 seconds

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

20

5

15

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The area of a triangular park is 120 square meters. If the base of the triangle is 2 meters longer than its height, find the dimensions of the park using a quadratic equation.

Height: 14 meters, Base: 16 meters

Height: 10 meters, Base: 12 meters

Height: 20 meters, Base: 22 meters

Height: 8 meters, Base: 10 meters

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car's distance from a starting point is modeled by the equation d(t) = 5t^2 + 20t, where d is in meters and t is in seconds. How far will the car be from the starting point after 4 seconds?

200 meters

160 meters

80 meters

120 meters

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 288 square feet, what are the dimensions of the pool? Factor the quadratic expression to find the width.

Width: 10 feet, Length: 20 feet

Width: 15 feet, Length: 30 feet

Width: 12 feet, Length: 24 feet

Width: 8 feet, Length: 16 feet

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