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Tuesday, August 13 th Please complete the warm up 1.State the constants, coefficients, and terms 2. Write an equation for 4 times twice a number plus 2 is 34
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T ODAY ’ S G OAL Equations from tables and graphs Inequalities
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R EMEMBER Y= mx + b M=_________________ B=___________________
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W HAT DOES EACH PART OF THE PROBLEM REPRESENT ?
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H OMEWORK A NSWERS
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The sum of 3 consecutive even numbers add up to 1002. Find the three numbers. P ART I: C ONSECUTIVE EQUATIONS
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C ONSECUTIVE N UMBER P ROBLEMS If the numbers are consecutive use: 1 st number = x 2 nd number = x + 1 3 rd number = x + 2 etc
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C ONSECUTIVE N UMBER P ROBLEMS If the numbers are consecutive ODD : 1 st number = x 2 nd number = x + 2 3 rd number = x + 4 etc
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C ONSECUTIVE N UMBER P ROBLEMS If the numbers are consecutive EVEN : 1 st number = x 2 nd number = x + 2 3 rd number = x + 4 etc
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E XAMPLE 1 The sum of 3 consecutive even numbers add up to 1002. Find the three numbers. 1 st 332 2 nd 334 3 rd 336 X + x + 2 + x + 4 = 1002 3x + 6 = 1002 3x = 996 X = 332
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E XAMPLE 2 The sum of 4 consecutive numbers add up to 4810. Find the four numbers. 1 st 1201 2 nd 1202 3 rd 1203 4 th 1204
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E XAMPLE 2 The sum of 4 consecutive numbers add up to 4810. Find the four numbers. 1 st 1201 2 nd 1202 3 rd 1203 4 th 1204
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E XAMPLE 3 The sum of three consecutive number is 215
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P ART II. C REATING I NEQUALITIES
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V OCAB R EVIEW < = less than > = more than ≤ = less than or equal to ≥ = great than or equal to
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E XAMPLE 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? x $46.15 Hint: Substitute numbers To see if it makes sense!
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E XAMPLE 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
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C LASSWORK Worksheet: Lucy’s Linear Equations & Inequalities
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H OMEWORK Worksheet Linear Equations & Inequalities
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