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## Warm Up

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**Warm Up**• 8r + 4 = 10 + 2r • 28 – 0.3y = 0.7y – 12 • 8x + 6 – 9x = 2 – x – 15 • Jon and Sara are planting tulip bulbs. Jon has planted 60 bulbs and is planting at a rate of 44 bulbs per hour. Sarah has planted 96 bulbs and is planting at a rate of 32 bulbs per hour. In how many hours will Jon and Sara have planted the same number of bulbs? How many bulbs will that be?**In a game show, a contestant guesses the price of an item**and wins a prize if his or her guess does not differ from the actual price by more than $5. The actual price is $48. What guesses will win a prize?**Would a contestant guessing $50 be any more correct that a**contestant guessing $46?**What is absolute value?**Absolute value represents a distance from 0. Because distance can be in the positive or negative direction from 0, there can be as many as two possible answers for an absolute-value equation.**The equation above asks, what values of x have an absolute**value of 5?**The equation above asks, what values of x have an absolute**value of a?**Absolute value can never be 0. Therefore, there is no**solution to the equation or any absolute value equation that equals a negative number.**Most absolute value equations will have two solutions.**Think about the equation: What can x + 4 equal? (It can equal 13 or -13)**Most absolute value equations will have two solutions.**Therefore, we must set up two cases and solve each case to get two solutions.**Case 1 Case 2**X + 4 = 13 x + 4 = - 13**Steps to Solving Absolute Value Equations**• Isolate the absolute value expression. (Using Inverse Operations) • Rewrite the equation as two cases. • Solve for the variable in both equations.**Solution Sets { }**Solution sets are efficient when an equation has more than one solution. The solution set should be written with both solutions inside of the { }**Create your own absolute Value Equation on your paper and**pass it to your neighbor to solve.