13­15 absolute value equations.notebook
April 10, 2014
p.13
LT 2a: I can solve absolute value equations.
What is The distance of a number from ______ on a number absolute line. The absolute value of a number is always value?
greater than or equal to ____. ­4
2
4
4. |3 4|
6. |x| = 4
2. |­5|
5. |7 ­ 2(5)|
7. 9 = |y|
8. |x| = ­1
1. Undo all parts outside of absolute value sign.
2. Rewrite the equation without the absolute value sign.
­set equal to positive answer.
3. Write again, but set equal to negative answer.
4. Solve ______ equations.
5. ______ the solutions.
lxl = 3
Summary
0
1. |2|
3. |0|
How do I solve absolute value equations?
­2
13­15 absolute value equations.notebook
CW p.14­15 (7,10,12,15)
April 10, 2014
P p.14­15 (all)
For 1­4, find the absolute value.
For 5­12, solve the following absolute value equations.
5. lxl = 842
7. lx ­ 3l = 4
6. 8. 9. 10. 11. 12. lxl = ­9
l2x ­ 3l = 11
p.14
13­15 absolute value equations.notebook
April 10, 2014
p.15
Remembering
For 13­18, solve the following inequalities, then graph the solutions.
13. 15.
17.
3x + 1 ≥ 2
­2 > ­6x + 2 + 4x
14. 6(6p ­ 2) ≤ 168
16. 6 ­ 5(1 + 3 x) > 76
18. 13­15 absolute value equations.notebook
IF Box 6
Remembering
April 10, 2014
Checking:
p.11­12
Remembering
What is the value of |­4x ­ 1| when x = 3?
GC
13­15 absolute value equations.notebook
C
April 10, 2014
C
D
C
A
A
13­15 absolute value equations.notebook
D
A
April 10, 2014
C
B
B
B
D
C
13­15 absolute value equations.notebook
April 10, 2014
1­3
4­7
8­10
math
11­12
13­15
it
rocks
yes
really
2­3
5­7
8­10
11­12
math
rocks
yes
it
14­15 really
13­15 absolute value equations.notebook
April 10, 2014
LT 2a: I can solve absolute value equations.
p.13
What is The distance of a number from ______ on a number absolute line. The absolute value of a number is always value?
greater than or equal to ____. ­4
­2
0
2
4
1. |2|
4. |3 4|
6. |x| = 4
2. |­5|
5. |7 ­ 2(5)|
7. 9 = |y|
3. |0|
8. |x| = ­1
0. Undo all parts outside the absolute value bars.
How do I 1. Rewrite the equation without the absolute value sign.
solve ­set equal to positive answer.
absolute 2. Write again, but set equal to negative answer.
value equations? 3. Solve ______ equations.
4. ______ the solutions.
lxl = 3
13­15 absolute value equations.notebook
April 10, 2014
Summary
mus
2 sol
13­15 absolute value equations.notebook
What does a problem with NO SOLUTION look like?
|x + 3| = ­2
April 10, 2014
Be careful...
|5x ­ 2| ­ 10 = ­2
13­15 absolute value equations.notebook
CW
P
April 10, 2014
p.14­15 (7,10,12,15)
p.14­15 (all)
SHOW WORK!
answers
13­15 absolute value equations.notebook
p.14­15 answers
April 10, 2014
13­15 absolute value equations.notebook
April 10, 2014
Attachments
Two­step inequalities.pdf