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

Modeling with Quadratic Equations — Unit test Answers

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Which equation has an a-value of –2, a b-value of 1, and a c-value of 3?

A
0 = –2x2 + x + 3
B
0 = 2x2 + x + 3
C
0 = –2x2 + 3
D
0 = 2x2 – x + 3
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Which is a solution to the equation?(x − 3)(x − 5) = 35

A
x = −8
B
x = −5
C
x = 2
D
x = 10
3

What is the value of the discriminant of the quadratic equation −2x2 = −8x + 8, and what does its value mean about the number of real number solutions the equation has?

A
The discriminant is equal to 0, which means the equation has no real number solutions.
B
The discriminant is equal to 0, which means the equation has one real number solution.
C
The discriminant is equal to 128, which means the equation has no real number solutions.
D
The discriminant is equal to 128, which means the equation has two real number solutions.
4

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has?

A
The discriminant is −55, so the equation has 2 real solutions.
B
The discriminant is −55, so the equation has no real solutions.
C
The discriminant is 73, so the equation has 2 real solutions.
D
The discriminant is 73, so the equation has no real solutions.
5

A rectangle’s length is 5 inches more than twice its width. Its area is 50 square inches. Which equation can be used to find its width, w?

A
2w(2w + 5) = 50
B
2w(w + 5) = 50
C
w(2w + 5) = 50
D
w(w + 5) = 50
6

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = –6. Which function could Heather be writing?

A
f(x) = x2 + 36x + 12
B
f(x) = x2 – 36x – 12
C
f(x) = –x2 + 12x + 36
D
f(x) = –x2 – 12x – 36
7

The product of two consecutive integers is 272. Which quadratic equation can be used to find x, the smaller number?

A
x2 + 1 = 272
B
x2 − 1 = 272
C
x2 + x − 272 = 0
D
x2 + x + 272 = 0
8

Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?

A
x = –2, x = –4
B
x = –2, x = 4
C
x = 2, x = –4
D
x = 2, x = 4

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Lesson 7: Modeling with Quadratic Equations