Practice Page
Directions: Solve the following equations. CHECK your answers using substitution or the graphing calculator.
1.
Solve:

| x + 2 | > 5

 
2.
Solve:

| 3x + 4 | < -12
3.
Solve:

| 2x + 3 | < x + 6

 
4.
Solve:

| 5 - 4x | + 2 < 6

5.
Solve:

| 2x + 5 | + 4 > 1

 
6.
Solve:
          AI6
7.
Solve:

3 | 2t | > 18

 
8.
Solve:

6 < | x + 1 | < 8

9.
You left your wallet in your car. A friend is texting you to go to the movies. You will need $12.95 for a ticket. You think you have $20 in your wallet, give or take $5. Write and solve an absolute value inequality representing the possible amount of money in your wallet. Can you afford to go to the movie?
10.
You are asked to buy some small decorative pumpkins to bring to a Halloween party. The small pumpkins are sold in bags listing the weight as 1.2 pounds. The clerk tells you the weight varies by less than 0.15 pounds. Write and solve an absolute value inequality representing the possible range of weights of the bags of pumpkins.

 

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