AnswersFL-1200700-Mathematics for College Algebra MISSolving Quadratic Equations: Quadratic Formula

Solving Quadratic Equations: Quadratic Formula — Cumulative exam Answers

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What are the solutions to m2 – 9 = 0?

A
m = –9 and m = 0
B
m = –3 and m = 3
C
m = –3
D
m = 9
22
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Which function has a vertex on the y-axis?

A
f(x) = (x – 2)2
B
f(x) = x(x + 2)
C
f(x) = (x – 2)(x + 2)
D
f(x) = (x + 1)(x – 2)
23

What is the range of the function f(x) = −(x + 3)2 + 7?

A
all real numbers less than or equal to 7
B
all real numbers greater than or equal to 7
C
all real numbers less than or equal to −3
D
all real numbers greater than or equal to −3
24

On a coordinate plane, a parabola opens up. It goes through (negative 3.25, 5), has a vertex of (1.75, negative 2.75), and goes through (6.25, 5). Solid circles appear on the parabola at (negative 3, 4), (0, negative 2), (1.75, negative 2.75), (3, negative 2), (6, 4).

Question illustration
A
–2
B
–0.5
C
1.5
D
4
25

The function f(x) = –x2 – 4x + 5 is shown on the graph.

Question illustration
A
The domain of the function is all real numbers less than or equal to −2.
B
The domain of the function is all real numbers less than or equal to 9.
C
The range of the function is all real numbers less than or equal to −2.
D
The range of the function is all real numbers less than or equal to 9.
26

A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation?

A
–5
B
0
C
1
D
6
27

The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground.A line of best fit for the data is represented by h = –21.962x + 114.655. Which statement compares the line of best fit with the actual data given by the table?

Question illustration
A
According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground.
B
According to the line of best fit, the object was dropped from a lower height.
C
The line of best fit correctly predicts that the object reaches a height of 40 meters after 3.5 seconds.
D
The line of best fit predicts a height of 4 meters greater than the actual height for any time given in the table.
28

The graph shows a distribution of data.

Question illustration
A
The data has a standard deviation of 0.1.
B
The mean of the data is greater than 0.5.
C
A value of 0.7 is within 1 standard deviation of the mean.
D
A value of 0.9 is more than 2 standard deviations from the mean.
29

Consider the plot created from the residuals of a line of best fit for a set of data.

Question illustration
A
Yes, the points have no pattern.
B
No, the points are evenly distributed about the x-axis.
C
No, the points are in a linear pattern.
D
Yes, the points are in a curved pattern.
30

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.
31

The data set represents the number of minutes Dan spent on his homework each night.30, 35, 35, 45, 46, 46, 52, 55, 57Which box plot correctly represents the data?

A
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 53. A line divides the box at 46.
Option A
B
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 52. A line divides the box at 46.
Option B
C
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 46.
Option C
D
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 45.
Option D
32

Which is the graph of the function f(x) = x2 + 2x + 3?

A
On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 4, 3), has a vertex at (negative 2, negative 1), and goes through (0, 3).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (2, negative 1), and goes through (4, 3).
Option D
33

What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?

A
(−4, 0) and (9, 0)
B
(4, 0) and (−9, 0)
C
(−3, 0) and (12, 0)
D
(3, 0) and (−12, 0)
34

Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Select three options.

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).
35

Given the function f(x) = −2x2 + 4x − 7, find f(−4).

A
−55
B
−7
C
9
D
25
36

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 − 6x + 6?

A
left 3 units, down 3 units
B
right 3 units, down 3 units
C
left 6 units, down 1 unit
D
right 6 units, down 1 unit
37

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
38

The box plot represents the number of math problems on the quizzes for an algebra course.What is the range of the data?

Question illustration
A
6
B
7
C
9
D
10
39

The graph represents a distribution of data.

Question illustration
A
5
B
10
C
30
D
50
40

A graph shows the horizontal axis numbered 1 to 5 and the vertical axis numbered 1 to 5. Points and a line show a downward trend.

Question illustration
A
–0.83
B
–0.21
C
0.21
D
0.83

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