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Tuesday, August 13 th Please complete the warm up 

State the constants, coefficients, and terms 2. Write an equation for 4 times twice a number plus 2 is 34. Tuesday, August 13 th Please complete the warm up . Today’s Goal . Equations from tables and graphs Inequalities . Remember. Y= mx + b M=_________________

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Tuesday, August 13 th Please complete the warm up 

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  1. State the constants, coefficients, and terms 2. Write an equation for 4 times twice a number plus 2 is 34 Tuesday, August 13th Please complete the warm up 

  2. Today’s Goal • Equations from tables and graphs • Inequalities

  3. Remember Y= mx + b M=_________________ B=___________________ RATE OF CHANGE CONSTANT

  4. What does each part of the problem represent? 1. Our builder’s cost can represented by • What is the flat fee? • What is the cost per square foot? 2. An Embroidery Shop charges can be represented by • What is the cost per letter? • What is the amount of the coupon? 50 $.07 $.5 -5

  5. Homework Answers

  6. Part I: Consecutive equations The sum of 3 consecutive even numbers add up to 1002. Find the three numbers.

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

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

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

  10. Example 1 • The sum of 3 consecutive even numbers add up to 1002. Find the three numbers. X + x + 2 + x + 4 = 1002 3x + 6 = 1002 3x = 996 X = 332 1st 332 2nd 334 3rd 336

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

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

  13. Example 3 The sum of three consecutive number is 215

  14. Part II. Creating Inequalities

  15. Vocab Review < = less than > = more than ≤ = less than or equal to ≥ = great than or equal to

  16. Example 1 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? Hint: Substitute numbers To see if it makes sense! x  $46.15

  17. Example 2 Amy 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

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

  19. Homework Worksheet Linear Equations & Inequalities

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