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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Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Select three options.The domain is {x| x ≥ 3}.The range is {y| y ≥ –1}.The function decreases over the interval (–∞, 3).The axis of symmetry is x = –1.The vertex is (3, –1).

A
The domain is {x| x ≥ 3}.
B
The range is {y| y ≥ –1}.
C
The function decreases over the interval (–∞, 3).
D
The axis of symmetry is x = –1.
E
The vertex is (3, –1).
2
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The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza. Which dot plot could represent the same data as the frequency table?

Question illustration
A
A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 39, 44. There are 2 dots above 31, 35, 36, 38. There are 3 dots above 41.
Option A
B
A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 44. There are 2 dots above 30, 35, 38. There are 3 dots above 32, 40.
Option B
C
A number line going from 25 to 45. There is 1 dot above 26, 31, 33, 34, 41, 44. There are 2 dots above 30, 35, 37. There are 3 dots above 32, 40.
Option C
D
A number line going from 25 to 45. There is 1 dot above 26, 27, 33, 40, 44. There are 2 dots above 29, 30, 32, 35, 38, 45. There are 3 dots above 39.
Option D
3

What values of b satisfy 4(3b + 2)2 = 64?

A
b = and b = –2
Option A
B
b = 2 and b =
Option B
C
b = and b = 3
Option C
D
b = 2 and b =
Option D
4

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 + 100 models the data in the table.

Question illustration
A
–2.75
B
0.25
C
1.75
D
2.25
5

Which is a solution to the equation?(x − 3)(x − 5) = 35

A
x = −8
B
x = −5
C
x = 2
D
x = 10
6

Jace gathered the data in the table. He found the approximate line of best fit to be y = –0.7x + 2.36.

Question illustration
A
–3.14
B
–0.86
C
0.86
D
3.14
7

Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either. What are the correct values of a, b, c, d, and e?

Question illustration
A
a = 42, b = 28, c = 33, d = 5, e = 10
B
a = 42, b = 5, c = 28, d = 33, e = 10
C
a = 5, b = 42, c = 28, d = 10, e = 33
D
a = 5, b = 10, c = 28, d = 33, e = 42
8

The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.Table B: Frequency of Foreign-Language Studies by RowWhich table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”

Question illustration
A
Table A, because the given condition is that the student is in high school.
B
Table A, because the given condition is that the student is taking a foreign language.
C
Table B, because the given condition is that the student is in high school.
D
Table B, because the given condition is that the student is taking a foreign language.
9

Which of the following is the graph of f(x) = 3|x – 4| + 1?

A
mc017-1.jpg
Option A
B
mc017-2.jpg
Option B
C
mc017-3.jpg
Option C
D
mc017-4.jpg
Option D
10

The conditional relative frequency table below was generated by column using data comparing gender and a person's favorite meal to cook.Which would most likely indicate an association between the categorical variables?

Question illustration
A
The value of A is similar to the value of B.
B
The value of A is similar to the value of E.
C
The value of B is not similar to the value of C.
D
The value of B is not similar to the value of F.
11

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

A
3
B
6
C
112
D
121
12

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

A
{–7, 1}
B
(negative 3 minus StartRoot 10 EndRoot comma negative 3 + StartRoot 10 EndRoot)
Option B
C
(3 minus StartRoot 10 EndRoot comma negative 3 + StartRoot 10 EndRoot)
Option C
D
{1, 7}
13

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.
14

The table shows the results of a survey of 400 random people on whether they like liquid soap, bar soap, or both. Which is the marginal relative frequency for the people who do not like bar soap?

Question illustration
A
StartFraction 100 Over 400 EndFraction
Option A
B
StartFraction 120 Over 400 EndFraction
Option B
C
StartFraction 280 Over 400 EndFraction
Option C
D
StartFraction 300 Over 400 EndFraction
Option D
15

Solve x2 − 24x = −80 by completing the square.What is the solution set of the equation?

A
{2, 40}
B
{4, 20}
C
{5, 16}
D
{8, 10}
16

The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.The axis of symmetry is the line x = 6.The vertex of the graph is at (–6, –11).The parabola has a minimum.The parabola opens down.The value of h, when the equation is written in vertex form, is positive.

A
The axis of symmetry is the line x = 6.
B
The vertex of the graph is at (–6, –11).
C
The parabola has a minimum.
D
The parabola opens down.
E
The value of h, when the equation is written in vertex form, is positive.
17

The graph shows the exponential regression model for data representing a rabbit population after x years.

Question illustration
A
The graph of the regression model is limited to whole-number values for x.
B
The graph of the regression model is limited to whole-number values for y.
C
The graph of the regression model cannot be used to approximate the population size for year 1.
D
The graph of the regression model can be used to predict the population size for any number of years in the future.
18

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

A
The median number of books to a box is 8.
B
The median number of books to a box is 9.
C
The mean number of books to a box is 11.
D
The mean number of books to a box is 12.
19

Which is the graph of a quadratic equation that has a negative discriminant?

A
On a coordinate plane, a parabola opens down. It goes through (negative 4, negative 4), has a vertex at (negative 2, 0), and goes through (0, negative 4).
Option A
B
On a coordinate plane, a parabola opens down. It goes through (negative 4, negative 4), has a vertex at (negative 2, 0), and goes through (0, negative 4).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 4, 4), has a vertex at (negative 2, 0), and goes through (0, 4).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (negative 4, 8), has a vertex at (negative 2, 4), and goes through (0, 8).
Option D
20

The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?

A
g(x) = (x − 7)2 − 3
B
g(x) = (x + 7)2 − 3
C
g(x) = (x − 3)2 − 7
D
g(x) = (x − 3)2 + 7

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