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HW # 24- p. 100 # 1-14 and 30-34 I also posted some extra practice problems Warm up Week 6, Day Four Robert is 5 feet 6 1/2 inches tall. Judy is 5 feet.

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Presentation on theme: "HW # 24- p. 100 # 1-14 and 30-34 I also posted some extra practice problems Warm up Week 6, Day Four Robert is 5 feet 6 1/2 inches tall. Judy is 5 feet."— Presentation transcript:

1 HW # 24- p. 100 # 1-14 and 30-34 I also posted some extra practice problems Warm up Week 6, Day Four Robert is 5 feet 6 1/2 inches tall. Judy is 5 feet 3 3/4 inches tall. How much taller is Robert than Judy? Explain HOW you found your answer. Start your explanation with: The strategy I used was…

2 Warm Up Response 2 ¾ inches

3 Homework Check Check your answers AFTER you have completed the quiz.

4 Solving Equations (both single and multi-step) Science Link- SNAKES! d 4 =2 3838

5 Recall that two-step equations contain two operations, and therefore, require two inverse operations to solve. Before solving, ask yourself, “ What is being done to the variable, and in what order? ” One method to solve the equation is to work backward to undo the operations.

6 The mechanic ’ s bill to repair Mr. Wong ’ s car was $653.05. The mechanic charges $45.50 an hour for labor, and the parts that were used cost $443.75. How many hours did the mechanic work on the car? Additional Example 1: Problem Solving Application

7 Additional Example 1 Continued 1 Understand the Problem The answer is the number of hours the mechanic worked on the car. List the important information: Let h represent the hours the mechanic worked. The parts cost $443.75. The labor cost $45.50 per hour. The total bill was $653.05. Total bill=Parts +Labor 653.05 = 443.75 + 45.50h

8 Think: First the variable is multiplied by 45.50, and then 443.75 is added to the result. Work backward to solve the equation. Undo the operations in reverse order: First subtract 443.75 from both sides of the equation, and then divide both sides of the new equation by 45.50. 2 Make a Plan Additional Example 1 Continued

9 653.05 = 443.75 + 45.50h Solve 3 –443.75 209.30 = 45.50h 4.6 = h The mechanic worked for 4.6 hours on Mr. Wong ’ s car. Additional Example 1 Continued Since h is multiplied by 45.50, divide both sides by 45.50. 209.30 45.50h 45.50 = Since 443.75 is added to both sides, subtract 443.75 from both sides.

10 You can use a table to decide whether your answer is reasonable. Look Back4 Additional Example 1 Continued HoursLaborPartsTotal Cost 1$45.50$443.75$489.25 2$91.00$443.75$534.75 3$136.50$443.75$580.25 4$182.00$443.75$625.75 5$227.50$443.75$671.25 4.6 hours is a reasonable answer.

11 The mechanic ’ s bill to repair your car was $850. The mechanic charges $35 an hour for labor, and the parts that were used cost $275. How many hours did the mechanic work on your car? Check It Out! Example 1

12 Check It Out! Example 1 Continued 1 Understand the Problem The answer is the number of hours the mechanic worked on your car. List the important information: Let h represent the hours the mechanic worked. The parts cost $275. The labor cost $35 per hour. The total bill was $850. Total bill=Parts+Labor 850=275+35h

13 Think: First the variable is multiplied by 35, and then 275 is added to the result. Work backward to solve the equation. Undo the operations in reverse order: First subtract 275 from both sides of the equation, and then divide both sides of the new equation by 35. 2 Make a Plan Check It Out! Example 1 Continued

14 850 = 275 + 35h Solve 3 –275 575 = 35h 16.4  h The mechanic worked for about 16.4 hours on your car. Check It Out! Example 1 Continued 575 35h 35 = Since h is multiplied by 35, divide both sides by 35. Since 275 is added to both sides, subtract 275 from both sides.

15 Look Back4 Check It Out! Example 1 Continued You can use a table to decide whether your answer is reasonable. HoursLaborPartsTotal Cost 13$455$275$730 14$490$275$765 15$525$275$800 16$560$275$835 17$595$275$870 16.4 hours is a reasonable answer.


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