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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. 3a – 10 + 2a Solve each equation. Check your solutions. 7. x – 25 = 17 8. a + 12 = 33 9. 8w – 7 = 72 10. 2z – 3 = 0 11. 74x – 13 = 35 12. –129x + 1 = 144 13. 32a + 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 200F, 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.