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Name _____________________________________________
Algebra II & Trigonometry
A2.A.1
Date __________________________________
Absolute Value Equations WS
Solve absolute value equations and inequalities involving linear expressions in one variable.
Evaluate each expression if a = –5, b = 6, and c = 2.8.
1. –3a
2. 2b – 15
4. –18 – 3c
3. 4a + 7
5. 6 – 3c + 7
6. 3a – 10 + 2a
Solve each equation. Check your solutions.
7. x – 25 = 17
8. a + 12 = 33
9. 8w – 7 = 72
10. 2z – 3 = 0
11. 74x – 13 = 35
12. –129x + 1 = 144
13. 32a + 7 = 3a + 12
14. 15 + m = –2m + 3
15. Some say that to brew an excellent cup of coffee, you must have a brewing temperature of 200F, plus or minus five
degrees. Write and solve an equation describing the maximum and minimum brewing temperature for an excellent cup of
coffee.
16. A machine is used to fill each of several bags with 16 ounces of sugar. After the bags are filled, another machine
weighs them. If the bag weighs 0.3 ounce more or less than the desired weight, the bag is rejected. Write an equation to
find the heaviest and lightest bag the machine will approve.