Liberty University Algebra Practice Quiz

3/28/22, 8:51 PM1.
Quiz: MQ Review Part II (1.1-1.6) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
[–/2 Points]
DETAILS
SCOLALG7 1.2.021.MI.
MY NOTES
ASK YOUR TEACHER
Make a table of values for the equation.
y = 9 − x2
x
y
−2
−1
0
1
2
Sketch a graph of the equation.
Selection Tool
Line
Ray
Segment
Circle
Vertical Parabola
Horizontal Parabola
Point
No Solution
Help
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3/28/22, 8:51 PM
Quiz: MQ Review Part II (1.1-1.6) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
10
9
8
7
6
5
4
3
2
1
-10 -9
-8
-7 -6
-5
-4
-3
-2
-1
1
-1
2
3
4
5
6
7
8
9
10
-2
-3
-4
-5
-6
-7
-8
-9
-10
Clear Graph
Delete Layer
Fill
WebAssign Graphing Tool
Graph LayersToggle Open/Closed
After you add an object to the graph you can use Graph Layers to view and edit its properties.
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4/16
3/28/22, 8:51 PM
2.
[–/2 Points]
Quiz: MQ Review Part II (1.1-1.6) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
DETAILS
SCOLALG7 1.1.038.
MY NOTES
ASK YOUR TEACHER
MY NOTES
ASK YOUR TEACHER
In this exercise we use the Distance Formula.
(a) Show that the points (4, 2) and (2, 4) are the same distance from the origin.
The distance from the point (4, 2) to the origin is
.
The distance from the point (2, 4) to the origin is
.
(b) Show that the points (a, b) and (b, a) are the same distance from the origin.
The distance from the point (a, b) to the origin is
.
The distance from the point (b, a) to the origin is
.
3.
[–/2 Points]
DETAILS
SCOLALG7 1.5.001.
The imaginary number i has the property that i2 =
.
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4.
[–/2 Points]
Quiz: MQ Review Part II (1.1-1.6) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
DETAILS
SCOLALG7 1.1.021.
MY NOTES
ASK YOUR TEACHER
MY NOTES
ASK YOUR TEACHER
A pair of points is graphed.
(a) Find the distance between them.
(b) Find the midpoint of the segment that joins them.
(x, y) =
5.
[–/2 Points]
DETAILS
SCOLALG7 1.6.065.
Find all real solutions of the equation. (Enter your answers as a comma-separated list.)
x=
x1/2 − 3×1/3 = 7×1/6 − 21
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3/28/22, 8:51 PM
6.
Quiz: MQ Review Part II (1.1-1.6) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
[–/2 Points]
DETAILS
SCOLALG7 1.4.009.
MY NOTES
ASK YOUR TEACHER
Find all real solutions of the equation by factoring. (Enter your answers as a comma-separated list.)
x=
7.
5×2 − 19x − 4 = 0
[–/2 Points]
DETAILS
SCOLALG7 1.2.049.
MY NOTES
ASK YOUR TEACHER
Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)
y = x2 − 3
(x, y) =
x-intercepts
(smaller x-value)
(x, y) =
(larger x-value)
(x, y) =
y-intercept
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3/28/22, 8:51 PM
[–/2 Points]
8.
Quiz: MQ Review Part II (1.1-1.6) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
DETAILS
SCOLALG7 1.5.021.
MY NOTES
ASK YOUR TEACHER
Evaluate the sum, and write the result in the form a + bi. (Simplify your answer completely.)
(−8 + 8i) + (7 − i)
[–/2 Points]
9.
DETAILS
SCOLALG7 1.3.016.
MY NOTES
ASK YOUR TEACHER
MY NOTES
ASK YOUR TEACHER
Find the slope of the line through P and Q.
P(5, −9), Q(7, −9)
10.
[–/2 Points]
DETAILS
SCOLALG7 1.3.023.MI.
Find an equation of the line that satisfies the given conditions.
Slope 5; y-intercept −1
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3/28/22, 8:51 PM
11.
Quiz: MQ Review Part II (1.1-1.6) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
[–/2 Points]
DETAILS
SCOLALG7 1.2.067.
MY NOTES
ASK YOUR TEACHER
Find the center and radius of the circle.
x2 + y2 = 25
center
(x, y) =
radius
Sketch the graph of the circle.
Selection Tool
Line
Ray
Segment
Circle
Vertical Parabola
Horizontal Parabola
Point
No Solution
Help
10
9
8
7
6
5
4
3
2
1
-10 -9
-8
-7 -6
-5
-4
-3
-2
-1
1
-1
2
3
4
5
6
7
8
9
10
-2
-3
-4
-5
-6
-7
-8
-9
-10
Clear Graph
Delete Layer
Fill
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9/16
3/28/22, 8:51 PM
Quiz: MQ Review Part II (1.1-1.6) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
WebAssign Graphing Tool
Graph LayersToggle Open/Closed
After you add an object to the graph you can use Graph Layers to view and edit its properties.
12.
[–/2 Points]
DETAILS
SCOLALG7 1.2.047.
MY NOTES
ASK YOUR TEACHER
Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)
y=x+3
(x, y) =
x-intercept
(x, y) =
y-intercept
13.
[–/2 Points]
DETAILS
SCOLALG7 1.3.017.MI.
MY NOTES
ASK YOUR TEACHER
Find the slopes of the lines l1, l2, l3, and l4 in the figure below.
line l1
line l2
line l3
line l4
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3/28/22, 8:51 PM
14.
Quiz: MQ Review Part II (1.1-1.6) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
[–/2 Points]
DETAILS
SCOLALG7 1.5.002.
For the complex number 1 + 9i the real part is
15.
[–/2 Points]
DETAILS
MY NOTES
and the imaginary part is
SCOLALG7 1.5.059.
ASK YOUR TEACHER
.
MY NOTES
ASK YOUR TEACHER
Evaluate the radical expression and express the result in the form a + bi. (Simplify your answer completely.)
16.
3+
−18
1+
−2
[–/2 Points]
DETAILS
SCOLALG7 1.4.083.MI.
MY NOTES
ASK YOUR TEACHER
Suppose an object is dropped from a height h0 above the ground. Then its height after t seconds is given by h = −16t2 + h0, where h is
measured in feet. Use this information to solve the problem.
If a ball is dropped from 266 ft above the ground, how long does it take to reach ground level? (Round your answer to two decimal places.)
t=
sec
17.
[–/2 Points]
DETAILS
SCOLALG7 1.4.005.
MY NOTES
ASK YOUR TEACHER
Find all real solutions of the equation by factoring. (Enter your answers as a comma-separated list.)
x2 − 11x + 24 = 0
x=
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3/28/22, 8:51 PM
18.
[–/2 Points]
Quiz: MQ Review Part II (1.1-1.6) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
DETAILS
SCOLALG7 1.4.041.MI.
MY NOTES
ASK YOUR TEACHER
Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.)
w=
19.
w2 = 8(w − 6)
[–/2 Points]
DETAILS
SCOLALG7 1.3.029.
MY NOTES
ASK YOUR TEACHER
MY NOTES
ASK YOUR TEACHER
Find an equation of the line that satisfies the given conditions.
Through (2, 2) and (1, 4)
20.
[–/2 Points]
DETAILS
SCOLALG7 1.6.015.
Find all real solutions of the equation. (Enter your answers as a comma-separated list.)
x=
x3 − 7×2 + 6x = 0
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12/16
3/28/22, 8:51 PM
21.
[–/2 Points]
Quiz: MQ Review Part II (1.1-1.6) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
DETAILS
SCOLALG7 1.1.007.
MY NOTES
ASK YOUR TEACHER
Plot the given points in a coordinate plane.
(0, 9), (−1, 0), (−1, −3),
1 2
,
2 3
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3/28/22, 8:51 PM
22.
Quiz: MQ Review Part II (1.1-1.6) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
[–/2 Points]
DETAILS
SCOLALG7 1.2.031.
MY NOTES
ASK YOUR TEACHER
Make a table of values for the equation.
y=−
4 − x2
x
y
−2
−1
0
1
2
Sketch a graph of the equation.
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14/16
3/28/22, 8:51 PM
23.
[–/2 Points]
Quiz: MQ Review Part II (1.1-1.6) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
DETAILS
SCOLALG7 1.1.048.MI.
MY NOTES
ASK YOUR TEACHER
In this exercise we use the Distance Formula and the Midpoint Formula.
If M(10, 3) is the midpoint of the line segment AB and if A has coordinates (2, −5), find the coordinates of B.
(x, y) =
24.
[–/2 Points]
DETAILS
SCOLALG7 1.6.051.
MY NOTES
ASK YOUR TEACHER
Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.)
2×4 + 8×2 + 4 = 0
x=
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3/28/22, 8:51 PM
25.
[–/2 Points]
Quiz: MQ Review Part II (1.1-1.6) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
DETAILS
SCOLALG7 1.6.023.MI.
MY NOTES
ASK YOUR TEACHER
Find all real solutions of the equation. (Enter your answers as a comma-separated list.)
x=
x3 − 7×2 + x − 7 = x2 + 1
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