Absolute Value Equations
Presentation
•
Mathematics
•
11th Grade
•
Practice Problem
•
Medium
Standards-aligned
Katrishia Stanley
Used 7+ times
FREE Resource
5 Slides • 10 Questions
1
2
Fill in the Blanks
Problem 1: Simplify 2∣x−y∣ if x = -4 and y = 12
Type your final answer in the blank.
Type answer...
3
Fill in the Blanks
Problem 2: Find ∣4x∣−∣5y∣−z if x = -2, y = 10 and z = -3
Type answer...
4
Notes Example 1: | x+9|=14
Set up two equations equal to +14 and -14
X + 9 = 14 x + 9 = -14
Then solve for x on each.
x + 9 = 14 and x + 9 = -14
-9 -9 -9 -9
x = 5 and x = -23 (answers)
5
Fill in the Blanks
Problem 3: What is the biggest solution for the absolute value?
∣x+6∣=13
Type answer...
6
Multiple Select
Problem 4: What are the solutions for
∣x−15∣=26
11
41
-41
-11
7
Example 2: | 2x-4|=12
Set up two equations equal to +12 and -12
2x - 4 = 12 and 2x - 4 = -12
Then solve for x on each.
2x - 4 = 12 and 2x - 4 = -12
+ 4 +4 + 4 +4
2x = 16 and 2x = - 8
2/2x = 16/2 and 2/2x = -8/2
x = 8 and x = -4 (answers)
8
Multiple Select
Problem 5: What are the solutions for
∣4x−1∣=11 ?
3
-3
-2.75
-2.5
2.5
9
Fill in the Blanks
Problem 6: What is the smallest solution of the absolute value equation?
∣5x+1∣=46
Type answer...
10
Notes Example 3: |x +5|-8=11
move 8 first by adding it on both sides
| x + 5 | - 8 = 11
+ 8 + 8
|x + 5| = 19
Set up two equations:
x + 5 = 19 and x + 5 = -19
-5 -5 -5 -5
x = 14 and x = -24 (answers)
11
Fill in the Blanks
Problem 7: What is the sum of the solutions for the absolute value equation:
∣x−7∣+2=11
Type answer...
12
Multiple Select
Problem 8: Which solutions are true for ∣x+2∣−6=18 ?
20
22
26
-26
13
Fill in the Blanks
Problem 9: The solution x = 5 is a solution for the equation ∣x−3∣−8=−6 .
true or false. Type true or false in the blank lower case only.
Type answer...
14
Notes Example 4: 4|x - 1| + 2 = 12
subtract 2 then divide by 4 first,
then make your
two equations.
4|x-1| + 2 = 12
-2 -2
4|x - 1| = 10
4/4|x-1| = 10/4
|x - 1| = 2.5
Set up two equations 2.5 and -2.5
x - 1 = 2.5 and x - 1 = -2.5
+ 1 + 1 + 1 + 1
x = 3.5 and x = -1.5 (answers)
15
Multiple Select
Problem 10: Solve: 6∣x−2∣+4=28
x = 6
x= -2
x = 4
x = -4
Show answer
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