Area Problems Quadratic Equations

Area Problems Quadratic Equations

9th Grade

19 Qs

quiz-placeholder

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Area Problems Quadratic Equations

Area Problems Quadratic Equations

Assessment

Quiz

Mathematics

9th Grade

Hard

Created by

Anthony Clark

FREE Resource

19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The length of a rectangle is 2 units more than the height.

Given the total area is 80, which equation is correct

x(x+2) = 80

x(x+2) = 40

x+(x+2) = 80

2(x+(x+2)) = 80

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A rectangular photograph measuring 6 cm by 4 cm is to be displayed in a card mount in a rectangular frame, as shown in the diagram. Which of the following equations can be used to find 𝑥 if the area of the mount is 64 cm2?

(4+2𝑥)(6+2𝑥)−24=64

(3+2𝑥)(6−5𝑥)−21=32

(7+2𝑥)(5+2𝑥)−13=64

(9+5𝑥)(3+7𝑥)−15=18

(5+2𝑥)(7−2𝑥)−24=28

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The area of a playground is 336 yd2 . The width of the playground is 5 yd longer than its length. Find the length and width of the playground

 length = 26 yd, width = 21 yd

length = 21 yd, width = 26 yd 

length = 21 yd, width = 16 yd 

length = 16 yd, width = 21 yd

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The length of a rectangular parking is 9m longer than its width and the area of the lot is 36m2. How will you represent the length of the parking lot?

x

x + 36

x + 9

x - y

5.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

Answer to part c is....

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation: h = -16t^2 + 80 About how long did it take for the balloon to hit the ground?

1.73 seconds

2.24 seconds

2.45 seconds

2.83 seconds

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The length of a rectangle is 7 inches more than its width, its area is 228 square inches. Determine the length of the given rectangle.

18 m

19 m

20 m

21 m

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