AnswersFL-1200710-Mathematics for College Algebra ASolving Quadratic Equations: Square Root Property

Solving Quadratic Equations: Square Root Property — Cumulative exam Answers

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Which equation has an a-value of 1, a b-value of –3, and a c-value of –5?

A
0 = –3x – 5 + x2
B
0 = x – 3 – 5x2
C
0 = 3x – 5 – x2
D
0 = –3x + 5 – x2
22
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What is the axis of symmetry of h(x) = –2x2 + 12x – 3?

A
x = –15
B
x = –3
C
x = 3
D
x = 15
23

The radius and circumference of several objects were measured.

Question illustration
A
It is a weak positive correlation, and it is not likely causal.
B
It is a weak positive correlation, and it is likely causal.
C
It is a strong positive correlation, and it is not likely causal.
D
It is a strong positive correlation, and it is likely causal.
24

What is the product?

Question illustration
A
24 a squared minus 6 b
Option A
B
24 a squared minus 6 a b
Option B
C
24 a squared minus 18 b squared
Option C
D
24 a squared minus 18 a b
Option D
25

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
26

What are the domain and range of f(x) = |x + 6|?

A
domain: ; range: f(x) 0
Option A
B
domain: x ; range:
Option B
C
domain: x ; range:
Option C
D
domain: ; range: f(x) 0
Option D
27

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4.

Question illustration
A
–6.72
B
–0.58
C
0.58
D
6.72
28

What is f(x) = 7x2 + 42x written in vertex form?

A
f(x) = 7(x + 6)2 – 6
B
f(x) = 7(x + 6)2 – 42
C
f(x) = 7(x + 3)2 – 9
D
f(x) = 7(x + 3)2 – 63
29

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

A
(negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot)
Option A
B
(negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot)
Option B
C
{–12, 2}
D
{–2, 12}
30

Which is the solution of the quadratic equation (4y – 3)2 = 72?

A
y = and y =
Option A
B
y = and y =
Option B
C
y = and y =
Option C
D
y = and y =
Option D
31

Which sample fairly represents the population? Select two options.using a yearbook to determine the most popular names for girls in the United Statesasking the people exiting a vitamin store how often they exercise to determine the amount of time the average American exercisescalling every registered member of the national Republican Party to determine the voter turnout for a city’s mayoral racesending a mandatory and confidential e-mail survey to every tenth employee of a company to determine overall job satisfactiontaking a poll in the main hallway between classes to determine the number of students who would be interested in a school trip to New York City

A
using a yearbook to determine the most popular names for girls in the United States
B
asking the people exiting a vitamin store how often they exercise to determine the amount of time the average American exercises
C
calling every registered member of the national Republican Party to determine the voter turnout for a city’s mayoral race
D
sending a mandatory and confidential e-mail survey to every tenth employee of a company to determine overall job satisfaction
E
taking a poll in the main hallway between classes to determine the number of students who would be interested in a school trip to New York City
32

The two-way table represents data from a survey asking teachers whether they teach English, math, or both. Which is the joint relative frequency for teachers who teach math and not English? Round the answer to the nearest percent.

Question illustration
A
8%
B
21%
C
33%
D
38%
33

Mr. Walker is looking at the fundraiser totals for the last five years.

Question illustration
A
The median is $1.60 greater than the mean.
B
The mean is $1.60 greater than the median.
C
The median is $2.82 greater than the mean.
D
The mean is $2.82 greater than the median.
34

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
35

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
36

What does a residual value of 1.3 mean when referring to the line of best fit of a data set?

A
A data point is 1.3 units above the line of best fit.
B
A data point is 1.3 units below the line of best fit.
C
The line of best fit has a slope of –1.3
D
The line of best fit has a slope of 1.3.
37

The diagram represents the polynomial 4x2 + 23x – 72.

Question illustration
A
(4x + 8)(x – 9)
B
(4x – 8)(x + 9)
C
(4x + 9)(x – 8)
D
(4x – 9)(x + 8)
38

Which table shows no correlation?

A
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 1, negative 2, negative 3, negative 2, negative 5, negative 4, negative 8.
Option A
B
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 6, negative 7, negative 4, negative 2, 0, negative 1, positive 3.
Option B
C
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 2, negative 4, positive 6, positive 8, positive 12, positive 10, negative 16.
Option C
D
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 3, negative 5, negative 9, negative 11, negative 13, negative 15, negative 17.
Option D
39

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Select three options.Ava’s graph is a vertical translation of f(x) = x2.Victor’s graph is a vertical translation of f(x) = x2.Ava’s graph moved 4 units from f(x) = x2 in a positive direction.Victor’s graph moved 4 units from f(x) = x2 in a positive direction.Ava’s graph has a y-intercept of 4.

A
Ava’s graph is a vertical translation of f(x) = x2.
B
Victor’s graph is a vertical translation of f(x) = x2.
C
Ava’s graph moved 4 units from f(x) = x2 in a positive direction.
D
Victor’s graph moved 4 units from f(x) = x2 in a positive direction.
E
Ava’s graph has a y-intercept of 4.
40

The first few steps in deriving the quadratic formula are shown.

Question illustration
A
The term is added to the right side of the equation, so it needs to be subtracted from the left side of the equation to balance the sides of the equation.
Option A
B
The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
C
The term needs to be converted so it has a common denominator before adding it to the left side of the equation to balance the equation.
Option C
D
The square root of the term needs to be found before adding the term to the left side of the equation to balance the sides of the equation.

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