Name
Alg1 Q1 Quiz 7 Review
October 23, 2013
Quiz: Thursday, 10/24/13
Q1 Quiz 7 Review – Absolute Value Inequalities
1) - 8| 3x – 9 | + 30 > 6
2) - 3| 8x – 4 | . - 5 <
-17
7
3) ⅔ | 12x – 6 | + 4 > 16
4) 4| 4x + 4 | + 3 .
> -7
-5
6) 2 | 8x – 4 | - 11 .
5) -5| 6x - 3 | - 6 > - 51
< 11
7
7) ⅞ | 8x + 8 | - 30 > -2
+ 14 < 20
8) 3| 2x + 4 |
2
10) 8 | 10 – 5x | + 2 .
9) 2| 9x + 18 | - 25 > -7
>6
7
11) -6 | 2 – ½ x | - 3 < -27
12) 3| 4x - 12 |
- 18 < -9
8
Make sure your remember:
1) Once the absolute value is isolated, you choose whether it will be an AND
problem or an OR problem.
- Greater than (> , > ) will be an OR problem. (Graph both and keep)
- Less than (<, < ) will be an AND problem. (Graph both and keep the intersection)
2) When you split the absolute value YOU MUST TURN THE
INEQUALITY AROUND WHEN SETTING TO THE NEGATIVE.
Answer Key:
1) |3x – 9| < 3
4) |4x + 4| < 8
x>2 ∩x<4
x> -3 ∩ x < 1
7)|8x+8| >32
x < -5  x > 3
10) |10-5x| > 5
x>3  x<1
2) |8x – 4| > 28
x <-3  x > 4
5) |6x-3| < 9
8) |2x+4| < 4
x >-1∩ x < 2
x > -4 ∩ x < 0
11) |2- ½ x| > 4
x <-4  x > 12
3) 12x – 6| > 18
x <-1  x > 2
6) |8x – 4| < 44
x > -5 ∩ x < 6
9) |9x+18| > 9
x < -3  x > -1
1
12) |4x-12| < 24
x> -3 ∩ x < 9