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Warm up

Learn how to convert inches to miles, weeks to seconds, and cm/s to mph. Also, discover how to solve problems involving consecutive numbers.

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Warm up

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  1. Warm up • Convert 5,400 inches to miles. (1 mi = 5280 ft) • Convert 16 weeks to seconds • Convert 36 cm per second to miles per hour. (1 in = 2.54 cm) 0.0852 miles 9,676,800 seconds 0.805 mph

  2. Creating Equations

  3. Consecutive Number Problems • If the numbers are consecutive use: • 1st number = x • 2ndnumber = x + 1 • 3rdnumber = x + 2 • etc

  4. Consecutive Number Problems • If the numbers are consecutive ODD: • 1stnumber = x • 2ndnumber = x + 2 • 3rdnumber = x + 4 • etc

  5. Consecutive Number Problems • If the numbers are consecutive EVEN: • 1stnumber = x • 2ndnumber = x + 2 • 3rdnumber = x + 4 • etc

  6. Example 1 • The sum of 3 consecutive even numbers add up to 1002. Find the three numbers. 1st 332 2nd 334 3rd 336

  7. Example 2 • The sum of 4 consecutive numbers add up to 4810. Find the four numbers. 1st 1201 2nd 1202 3rd 1203 4th 1204

  8. Example 3 • You and 3 friends divide the proceeds of a garage sale equally. The garage sale earned $412. How much money did you receive? $103 each

  9. Creating Inequalities

  10. Example 4 • Juan has no more than $50 to spend at the mall. He wants to buy a pair of jeans and some juice. If the sales tax is 4% and the juice with tax costs $2, what is the maximum price of jeans Juan can afford? x  $46.15

  11. Example 5 • Silvia is saving to buy a laptop that costs $1,100. So far she has saved $400. She makes $12 an hour babysitting. What’s the least number of hours she needs to work in order to reach her goal? x ≥ 58.33 hours

  12. Classwork Worksheet: Lucy’s Linear Equations & Inequalities

  13. Homework Worksheet Linear Equations & Inequalities

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