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Non-linear equations (one variable)

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Mathematics

9th - 12th Grade

Non-linear equations (one variable)
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20 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular garden has a length that is 3 meters more than its width. If the area of the garden is 56 square meters, what are the dimensions of the garden?

The dimensions of the garden are 4 meters by 7 meters.

The dimensions of the garden are 7 meters by 10 meters.

The dimensions of the garden are 6 meters by 9 meters.

The dimensions of the garden are 5 meters by 8 meters.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.

What expression represents the profit?

27x – 650

27x + 390

33x – 650

33x + 390

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Find the area if x = 3.

27 units2

45 units2

33 units2

15 units2

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The width of a rectangle is 4 inches less than the length. The perimeter is 100 inches. What is the length of the rectangle?

23

31

46

27

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Darnell and Stephanie work for competing refreshment stand companies. Darian's profit can be modeled using the polynomial 2c2 - 7c - 200, where c is the number of items sold. Stephanie's profit can be modeled with the polynomial c+ 8c - 100. Write a polynomial to represent the difference between their profits.

c-15c - 100
3c2 -c - 300
c+15c + 300
3c-15c - 100

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Sally is creating a rectangular quilt and the length is equal to five inches less than the width. The perimeter is 30 inches. What are the dimensions of the quilt

width = 10 and length = 5

Width = 5 and length = 10

Width = 5 and length = 30

Width = 30 and length = 5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular pond has a length that is 10 feet longer than its width. A 2-foot-wide sidewalk surrounds the pond. Which expression best represents the area of both the sidewalk and the pond?

(w + 2)(w + 12)

w(w + 10)

(w + 4)(w + 14)

(w + 10)(w + 10)

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