Warm Up

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# Warm Up - PowerPoint PPT Presentation

Warm Up. 8r + 4 = 10 + 2r 28 – 0.3y = 0.7y – 12 8x + 6 – 9x = 2 – x – 15

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Presentation Transcript
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?

### Solving Absolute Value Equations

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.

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.

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 { }