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Do Now. Factor the following: 3x 2 + 6x – 24 x 2 – 9 y 2 +10x +25. Objectives and HW. Model problems using algebraic equations Be able to solve problems with interest ( I = Prt ) Be able to solve problems about areas and length
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Do Now Factor the following: • 3x2 + 6x – 24 • x2 – 9 • y2 +10x +25
Objectives and HW • Model problems using algebraic equations • Be able to solve problems with interest (I = Prt) • Be able to solve problems about areas and length • Vocabulary: interest (I); principal (P); interest rate (r); similar triangles HW: Lesson 3
Terms/key words that indicate operations: Addition: more than; greater than; sum; exceed; together; total; increased Subtraction: less than; difference; smaller than; fewer; reduced; decreased Multiplication: product; x times more; double the size, triple the amount; “of” Division: quotient; split into x groups
General Steps in solving Word Problems Read- Read the problem X = answer- Set the variable equal to what you’re trying to solve for Read; key words- Read the problem again and look for key words that indicate operations Translate- using only the one variable that is set equal to what you’re trying to solve for, read the problem again and translate phrases and sentences using that variable Draw- Draw a diagram or chart if applicable
Interest Problems Ex. I = Prt- # 21 on p. 82 X = amount @ 4% 12000 – X = amount @ 4 ½ % .04X + .045(12000 – X) = 525 .04X + 540 - .045X = 525 -.005X = -15 X = 3000
Length and Area Problems A = l x w A = 1/2h x b Similar triangles =
Length and Area Problems # 36 on p. 83 w = width l= 2w A = l x w 115,200 = 2w x w 115,200 = 2w2 w = 240