AnswersAZ-College Prep Math BModeling with Quadratic Equations

Modeling with Quadratic Equations — Cumulative exam Answers

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1
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The tile along the edge of a triangular community pool needs to be replaced.

Question illustration
A
12x2 + 15
B
20x2 + 25
C
12x2 + 8x + 25
D
24x2 + 16x + 50
2
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The variables A, B, and C represent polynomials where A = x + 1, B = x2 + 2x − 1, and C = 2x. What is AB + C in simplest form?

A
x3 + 3x − 1
B
x3 + 4x − 1
C
x3 + 3x2 + 3x − 1
D
x3 + 2x2 − x + 1
3

What is the difference of the polynomials?(5x3 + 4x2) – (6x2 – 2x – 9)

A
–x3 + 6x2 + 9
B
–x3 + 2x2 – 9
C
5x3 – 2x2 – 2x – 9
D
5x3 – 2x2 + 2x + 9
4

A square piece of paper has an area of x2 square units. A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper. The remaining piece of paper has an area of 120 square units.

A
x2 − 2x − 120 = 0
B
x2 + 2x − 120 = 0
C
x2 − 2x + 120 = 0
D
x2 + 2x + 120 = 0
5

Which is the simplified form of the expression ?

Question illustration
A
StartFraction 1 Over 2 Superscript 36 Baseline 3 Superscript 48 Baseline EndFraction
Option A
B
StartFraction 1 Over 3 Superscript 8 Baseline EndFraction
Option B
C
3 Superscript 8
Option C
D
2 Superscript 36 Baseline 3 Superscript 48
Option D
6

Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?

A
n2 + n – 210 = 0
B
n2 + n – 105 = 0
C
2n2 + 2n + 210 = 0
D
2n2 + 2n + 105 = 0
7

Which graph represents the function y = 2x – 4?

A
Option
B
Option
C
Option
D
Option
8

The table shows the total cost of purchasing x same-priced items and a catalog.

Question illustration
A
$4, the cost per item
B
$4, the cost of the catalog
C
$6, the cost per item
D
$6, the cost of the catalog
9

Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book.

Question illustration
A
slope: 2, y-intercept: –20
B
slope: 2, y-intercept: 10
C
slope: 5, y-intercept: –20
D
slope: 5, y-intercept: 10
10

Line ST and point V are shown on the graph.

Question illustration
A
−7
B
−5
C
2
D
3
11

Which function has real zeros at x = –8 and x = 5?

A
g(x) = x2 + 3x – 40
B
g(x) = x2 + 3x + 40
C
g(x) = x2 + 14x – 40
D
g(x) = x2 + 14x + 40
12

Which is the value of this expression when and ?

Question illustration
A
Negative one-third
Option A
B
Negative StartFraction 1 Over 27 EndFraction
Option B
C
StartFraction 1 Over 27 EndFraction
Option C
D
One-third
Option D
13

Arturo is building a flower bed in the shape of a right triangle. The hypotenuse of the right triangle is 13 feet. One of the legs needs to be 7 feet longer than the other leg.

A
x(x + 7) = 13
B
x(x + 7) = 169
C
x2 + (x + 7)2 = 13
D
x2 + (x + 7)2 = 169
14

Which term can be added to the list so that the greatest common factor of the three terms is 12h3?36h3, 12h6, __________

A
6h3
B
12h2
C
30h4
D
48h5
15

Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?

A
–1.5
B
–0.5
C
0.5
D
1.5
16

Point E is drawn on the graph so that line EF is parallel to line CD.

Question illustration
A
−8
B
−4
C
0
D
8
17

What are the values of a and b in the equation ?

Question illustration
A
a = 2, b = 4
Option A
B
a = negative 2, b = 4
Option B
C
a = negative 2, b = negative 4
Option C
D
a = 2, b = negative 4
Option D
18

The graph of y = x2 + 11x + 24 is equivalent to the graph of which equation?

A
y = (x + 8)(x + 3)
B
y = (x + 4)(x + 6)
C
y = (x + 9)(x + 2)
D
y = (x + 7)(x + 4)
19

Simplify the expression –3(x + 3)2 – 3 + 3x. What is the simplified expression in standard form?

A
–3x2 – 18x – 27
B
–3x2 – 15x – 30
C
–3x2 + 3x + 6
D
–3x2 + 3x – 30
20

A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

Question illustration
A
zero
B
undefined
C
negative
D
positive

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