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Word Problems: Variables on Both Sides Chapter 4.2 Part 2.

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Presentation on theme: "Word Problems: Variables on Both Sides Chapter 4.2 Part 2."— Presentation transcript:

1 Word Problems: Variables on Both Sides Chapter 4.2 Part 2

2 Define a variable, write an equation and solve. Josh and Carl are driving the same distance. Josh drives at 50 mph and Carl drives at 60 mph. If it takes Josh 1 hour longer than Carl, how long does each drive? What you should know: Distance = (Rate)(Time) Variable (Unknown): Time x = time it takes Carl to drive the distance x + 1 = time it takes Josh to drive the distance

3 Josh and Carl are driving the same distance. Josh drives at 50 mph and Carl drives at 60 mph. If it takes Josh 1 hour longer than Carl, how long does each drive? D = rt Josh: D=(50)(x+1) Carl: D=(60)(x) Since they went the same distance, we can set the two equations equal to each other. 50(x+1) = 60(x)

4 Solve: 50(x+1)=60(x) 50(x+1)=60(x)Distribute 50x+50=60xMove variables -50x -50x 50 = 10xDivide by the number that is in front of the variable. x = 5

5 What does x = 5 mean? x = time it takes Carl to drive the distance. x = 5, it takes Carl 5 hours to drive the distance. If it takes Josh 1 hour longer: it take Josh 6 hours

6 Mini-Worksheets If you write on a separate paper, please don’t write on the worksheet, so that I can reuse it. Try two of the word problems and 10 of the other problems. Any extras=extra credit

7 Homework: pg 166-168 (22-30 all, 32, 34, 35, 59-67 odds )


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