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Problems (1)
Absolute Value Graphs
Word Problems
Miscellaneous
100
What are two possible solutions for |x| = 3
{3, -3}
100
| z - 13 | = 21
What is { -8 , 34 }
100
What is always the shape of the absolute value graph?
V
100
Your score in a video game is 200,000. Your sister's score in the same game is -15,000. By how many points are you beating your sister?
215,000 points
100
| x - 6 | = 35
What is { 41 , -29 }
200
Give an example of an absolute value equation with 2 solutions.
|x| = any positive number
200
| d + 1 | = 7
What is { 6 , -8 }
200
Sketch the graph of y=|x|
V shaped graph with slope of -1 at x<0 and slope of 1 at x>0, vertex at the origin
200
there is a fish 11 inches below the surface of a pond. A bird flies 120 inches over the pond. How far apart are the bird and the fish?
131 inches
200
| t + 9 | - 8 = 5
What is { 4 , -22 }
300
How many solutions are there to |x+1|=-2
None!
300
5 | q + 6 | = 20
What is { -2 , -10 }
300
Where is the vertex of the graph of y = |x-2|
(2,0)
300
Ms. Barnett is 5 feet and 4 inches tall. If she is standing on the roof of P-2, which is 19 feet and 6 inches tall, how high up is the top of her head?
24 feet and 10 inches above the ground
300
8 | 5w - 1 | = 0
What is { 1/5 }
400
3 + | z + 5 | = 10
What is { 2 , -12 }
400
| p + 1 | + 10 = 5
What is { No Solution }
400
Where is the vertex of the graph y=|x| + 5
(0,5)
400
The Tallest Mountain in Hawaii, Mauna Kea, is 4,207 meters tall above sea level. It's base is 5,893 meters below sea level. How tall is the mountain from base to summit?
10,100 meters
400
| 3b - 10 | = 2b
What is { 10 , 2 }
500
What are the three possible amounts of solutions to an absolute value equation?
0, 1, 2
500
2 | 3x - 4 | + 8 = 6
What is { 5\3 }
500
Where is the vertex of the graph y = |x + 2| - 9
(-2,-9)
500
In a racing game, Yoshi has traveled 1968 meters from the starting line. He's cruising with confidence when suddenly he slips on a giant banana peel lying in the middle of the road, causing him to move backwards 5.2 meters! How far is he from the starting line?
Yoshi is 1962.8 meters from the starting line.
500
-5 | 3z + 8 | - 5 = -20
What is {-5\3 }