HW # 24- p. 100 # 1-14 and 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…

Warm Up Response 2 ¾ inches

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

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

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.

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

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 $ The labor cost $45.50 per hour. The total bill was $ Total bill=Parts +Labor = h

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

= h Solve 3 – = 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 h = Since is added to both sides, subtract from both sides.

You can use a table to decide whether your answer is reasonable. Look Back4 Additional Example 1 Continued HoursLaborPartsTotal Cost 1$45.50$443.75$ $91.00$443.75$ $136.50$443.75$ $182.00$443.75$ $227.50$443.75$ hours is a reasonable answer.

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

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

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 Make a Plan Check It Out! Example 1 Continued

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

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$275$ hours is a reasonable answer.