20­23 absolute value equations.notebook
April 15, 2015
LT 2a: I can solve absolute value equations.
What is absolute value?
p.20
The distance of a number from ________ on a number line. The absolute value of a number is always 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
How do I 1. Rewrite the equation without the absolute value sign.
­set equal to positive answer.
solve absolute 2. Write again, but set equal to negative answer.
value 3. Solve __________ equations.
equations?
4. __________ the solutions.
lxl = 3
Summary
20­23 absolute value equations.notebook
CW p.21­23 (7,10,12,15)
April 15, 2015
P p.21­23 (all)
For 1­4, find the absolute value.
For 5­12, solve the following absolute value equations.
5. lxl = 842
6. 7. lx ­ 3l = 4
8. 9. 10. 11. 12. lxl = ­9
l2x ­ 3l = 11
p.21
20­23 absolute value equations.notebook
April 15, 2015
p.22
Remembering
For 13­18, solve the following inequalities, then graph the solutions.
13. 3x + 1 ≥ 2
14. 6(6p ­ 2) ≤ 168
15.
­2 > ­6x + 2 + 4x
16. 6 ­ 5(1 + 3 x) > 76
17.
18. 20­23 absolute value equations.notebook
April 15, 2015
p.23
MCA Prep
1) 2) 3) 4) 5) 6) 7) 8) 20­23 absolute value equations.notebook
IF Box 4 Remembering
What is the value of |­4x ­ 1| when x = 3?
April 15, 2015
Checking:
p.15­19
Remembering
GC
answers p.15
20­23 absolute value equations.notebook
C
April 15, 2015
C
D
C
A
A
answers p.16
20­23 absolute value equations.notebook
April 15, 2015
C
D
A
B
B
B
C
D
answers p.17
20­23 absolute value equations.notebook
B
D
April 15, 2015
A
C
B
C
A
C
answers p.18
20­23 absolute value equations.notebook
April 15, 2015
B
D
C
D
A
B
A
C
April 15, 2015
answers p.19
20­23 absolute value equations.notebook
C
C
D
D
B
B
B
B
20­23 absolute value equations.notebook
April 15, 2015
1­5
Math
6­10
Rocks
11­14
YES
15­19
20­23
2­5
7­10
11­14
15­19
21­23
Math
Rocks
YES
it
20­23 absolute value equations.notebook
April 15, 2015
LT 2a: I can solve absolute value equations.
What is absolute value?
p.20
ZERO
The distance of a number from ________ on a number line. The absolute value of a number is always greater than or equal to _______. ZERO
­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
How do I 1. Rewrite the equation without the absolute value sign.
­set equal to positive answer.
solve absolute 2. Write again, but set equal to negative answer.
value BOTH
3. Solve __________ equations.
equations?
4. __________ the solutions.
CHECK
lxl = 3
20­23 absolute value equations.notebook
Summary
must have abv all by itself before 2 solutions ­­­­OR­­­­ NO solutions
April 15, 2015
20­23 absolute value equations.notebook
CW
P
April 15, 2015
p.21­23 (7,10,12,15)
p.21­23 (all)
SHOW WORK!
7.
answers
x = 7 and x = ­1
10.
no solution
12.
n = ­1 and n = ­3
15.
2 < x
20­23 absolute value equations.notebook
April 15, 2015
20
answers p.21
20­23 absolute value equations.notebook
April 15, 2015
answers p.22
20­23 absolute value equations.notebook
April 15, 2015
answers p.23
20­23 absolute value equations.notebook
April 15, 2015
C
B
D
D
C
C
D
C
Attachments
Two­step inequalities.pdf