MRY Ch 1.7 - Practice: Absolute Value Equations (19pts) (11/7/2023)

Last updated over 2 years ago

15 questions

Instructions

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Watch the video lesson edpuzzle, then complete the following questions.

Solve the absolute value equation or state why there is no solution:

Solve the absolute value equation or state why there is no solution:
|2x - 6| = 12

Solve the absolute value equation or state why there is no solution:
|3x - 6| = -8

Solve the absolute value equation above.

x=27 & x= -27

x= 1/3 & x= -1/3

x=3 & x= -3

No Solution

Solve the absolute value equation above.

b=7 & b= -7

b=5 & b= -9

b=9 & b= -5

No Solution

2|3x - 5| = 8

Solve the absolute value equation above.

x=7/5 & x= -7/5

x= 3 & x= 1/3

x=5 & x= -5

No Solution

Solve the absolute value equation above.

b=8 & b=4

b= -8 & b= -4

b= -2 & b=4

No Solution

See the example to the left.  
Note how the solutions x=8 and x=26 are graphed.

Solve and graph.
Show each step and include relevant graph detail.

Problem 1 Got It? What are the solutions of the equation?

n = ±3

n = ±2

n = ±7

n = ±5

For full credit: Solve and Graph and Check the solutions. Include relevant graph detail.

Problem 2 Got It? Another friend's distance d from you (in feet) after t seconds is given by d = |80 - 5t|.
What does the 5 in the equation represent?

Your friend's constant speed in feet per second.

Your friend's starting distance from you.

Your friend's distance from you after t seconds.

Problem 2 Got It? Another friend's distance d from you (in feet) after t seconds is given by d = |80 - 5t|.
What does the 80 in the equation represent?

Your friend's distance from you after t seconds.

Your friend's starting distance from you.

Your friend's constant speed in feet per second.

Problem 2 Got It? Another friend's distance d from you (in feet) after t seconds is given by d = |80 - 5t|.
At what time(s) is she 60 ft from you?
Select all that apply.

4 s

10 s

28 s

40 s

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.

Solve the absolute value equation above.

x=27 & x= -27

x= 1/3 & x= -1/3

x=3 & x= -3

No Solution

Solve the absolute value equation above.

b=7 & b= -7

b=5 & b= -9

b=9 & b= -5

No Solution

Solve the absolute value equation above.

x=7/5 & x= -7/5

x= 3 & x= 1/3

x=5 & x= -5

No Solution

Solve the absolute value equation above.

b=8 & b=4

b= -8 & b= -4

b= -2 & b=4

No Solution

Problem 1 Got It? What are the solutions of the equation?

n = ±3

n = ±2

n = ±7

n = ±5

Problem 2 Got It? Another friend's distance d from you (in feet) after t seconds is given by d = |80 - 5t|. 
What does the 5 in the equation represent?

Your friend's constant speed in feet per second.

Your friend's starting distance from you.

Your friend's distance from you after t seconds.

Problem 2 Got It? Another friend's distance d from you (in feet) after t seconds is given by d = |80 - 5t|. 
What does the 80 in the equation represent?

Your friend's distance from you after t seconds.

Your friend's starting distance from you.

Your friend's constant speed in feet per second.

Problem 2 Got It? Another friend's distance d from you (in feet) after t seconds is given by d = |80 - 5t|. 
At what time(s) is she 60 ft from you? 
Select all that apply.

4 s

10 s

28 s

40 s

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.

MRY Ch 1.7 - Practice: Absolute Value Equations (19pts) (11/7/2023)

MRY Ch 1.7 - Practice: Absolute Value Equations (19pts) (11/7/2023)

Solve the absolute value equation or state why there is no solution:

Solve the absolute value equation or state why there is no solution:|2x - 6| = 12

Solve the absolute value equation or state why there is no solution:|3x - 6| = -8

2|3x - 5| = 8

Solve and graph.Show each step and include relevant graph detail.

For full credit: Solve and Graph and Check the solutions. Include relevant graph detail.

Solve the absolute value equation or state why there is no solution:

Solve the absolute value equation or state why there is no solution:|2x - 6| = 12

Solve the absolute value equation or state why there is no solution:|3x - 6| = -8

Solve the absolute value equation above.

Solve the absolute value equation above.

2|3x - 5| = 8

Solve the absolute value equation above.

Solve the absolute value equation above.

Solve and graph.Show each step and include relevant graph detail.

Problem 1 Got It? What are the solutions of the equation?

For full credit: Solve and Graph and Check the solutions. Include relevant graph detail.

Problem 2 Got It? Another friend's distance d from you (in feet) after t seconds is given by d = |80 - 5t|. What does the 5 in the equation represent?

Problem 2 Got It? Another friend's distance d from you (in feet) after t seconds is given by d = |80 - 5t|. What does the 80 in the equation represent?

Problem 2 Got It? Another friend's distance d from you (in feet) after t seconds is given by d = |80 - 5t|. At what time(s) is she 60 ft from you? Select all that apply.

Why are there 2 times when your friend is exactly 60ft away from you?

Solve the absolute value equation or state why there is no solution:
|2x - 6| = 12

Solve the absolute value equation or state why there is no solution:
|3x - 6| = -8

Solve and graph.
Show each step and include relevant graph detail.

Solve the absolute value equation or state why there is no solution:
|2x - 6| = 12

Solve the absolute value equation or state why there is no solution:
|3x - 6| = -8

Solve and graph.
Show each step and include relevant graph detail.

Problem 2 Got It? Another friend's distance d from you (in feet) after t seconds is given by d = |80 - 5t|.
What does the 5 in the equation represent?

Problem 2 Got It? Another friend's distance d from you (in feet) after t seconds is given by d = |80 - 5t|.
What does the 80 in the equation represent?

Problem 2 Got It? Another friend's distance d from you (in feet) after t seconds is given by d = |80 - 5t|.
At what time(s) is she 60 ft from you?
Select all that apply.