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MRY Ch 1.7 - Practice: Absolute Value Equations (19pts) (11/7/2023)
By Mari Yahner
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Last updated over 2 years ago
15 questions
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Instructions
Watch the video lesson edpuzzle, then complete the following questions.
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Question 1
1.
Solve the absolute value equation or state why there is no solution:
visibility
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Question 2
2.
Solve the absolute value equation or state why there is no solution:
|2x - 6| = 12
visibility
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Question 3
3.
Solve the absolute value equation or state why there is no solution:
|3x - 6| = -8
visibility
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Question 4
4.
Solve the absolute value equation above.
x=27 & x= -27
x= 1/3 & x= -1/3
x=3 & x= -3
No Solution
Question 5
5.
Solve the absolute value equation above.
b=7 & b= -7
b=5 & b= -9
b=9 & b= -5
No Solution
Question 6
6.
2|3x - 5| = 8
visibility
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Question 7
7.
Solve the absolute value equation above.
x=7/5 & x= -7/5
x= 3 & x= 1/3
x=5 & x= -5
No Solution
Question 8
8.
Solve the absolute value equation above.
b=8 & b=4
b= -8 & b= -4
b= -2 & b=4
No Solution
zoom_in
See the example to the left.
Note how the solutions x=8 and x=26 are graphed.
Question 9
9.
Solve and graph.
Show each step and include relevant graph detail.
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Question 10
10.
Problem 1 Got It?
What are the solutions of the equation?
n = ±2
n = ±7
n = ±5
n = ±3
Question 11
11.
For full credit:
Solve
and
Graph
and
Check
the solutions.
Include relevant graph detail.
visibility
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Question 12
12.
Problem 2 Got It?
Another friend's distance
d
from you (in feet) after
t
seconds is given by
d
= |80 - 5
t
|.
What does the 5 in the equation represent?
Your friend's distance from you after
t
seconds.
Your friend's constant speed in feet per second.
Your friend's starting distance from you.
Question 13
13.
Problem 2 Got It?
Another friend's distance
d
from you (in feet) after
t
seconds is given by
d
= |80 - 5
t
|.
What does the 80 in the equation represent?
Your friend's starting distance from you.
Your friend's distance from you after
t
seconds.
Your friend's constant speed in feet per second.
Question 14
14.
Problem 2 Got It?
Another friend's distance
d
from you (in feet) after
t
seconds is given by
d
= |80 - 5
t
|.
At what time(s) is she 60 ft from you?
Select all that apply.
4 s
10 s
28 s
40 s
Question 15
15.
Why are there 2 times when your friend is exactly 60ft away from you?
because she gets farther from you as time passes
because she is skating towards you and after 4sec she is 60 ft from you, and then she passes by you and keeps going until she is 60 ft away from you again which takes a total of 28 sec.
beacuse she starts skating after 4 sec and then after 28 sec she is 60 ft from you.