AnswersCA-Common Core Math II A-CRModeling with Quadratic Equations

Modeling with Quadratic Equations Answers

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1
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Which quadratic equation would be used to solve for the unknown dimensions?

A
0 = 2w2
B
512 = w2
C
512 = 2w2
D
512 = 2l + 2w
2
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The length of the backyard is feet.

A
–32
B
–16
C
16
D
32
3

The width of the backyard is feet.

A
–32
B
–16
C
16
D
32
4

He uses the Pythagorean theorem to write an equation to determine the width of the garden.(x)2 + (x + 4)2 = (12)2x2 + x2 + 8x + 16 = 1442x2 + 8x – 128 = 0What are the approximate dimensions of the garden?

A
6.2 ft by 2.2 ft
B
6.2 ft by 10.2 ft
C
10.2 ft by 2.2 ft
5

What is the value of x that makes sense in this context?

A
0 ft
B
8 ft
C
16 ft
D
32 ft
6

What are the dimensions of the new garden?

A
32 ft by 32 ft
B
64 ft by 16 ft
C
64 ft by 32 ft
D
32 ft by 16 ft

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