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Warm-Up

Warm-Up. Solve using the Elimination Method. x – y = 8. 5x + 7y = 4. (5,-3).

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Warm-Up

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  1. Warm-Up Solve using the Elimination Method. x – y = 8 5x + 7y = 4 (5,-3)

  2. CA Standards 9.0: Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets. Objective: (1) Students will solve word problems using systems of equations. Agenda: 12/05/11 1.) Warm-up 2.) Lesson: Word Problems – Items Purchased (ppt.) 3.) Class/Home Work Two (2) Assignments 4.) STAY ON TASK!!!!

  3. 8.4 Word Problems – Items Purchased Notes: Word Problems Type: Items Purchased Ex 1) John bought 3 CDs and 2 DVDs for $44. He Then bought 2 CDs and 4 DVDs for $56. How much did each DVD cost? LetC – Cost of CDs -2 3C + 2D = 44 -6C = -88 – 4D D – Cost of DVDs 2C + 4D 2C + 4D = 56 = 56 + 0 -4C = -32 -4 -4 C = $8 3C + 2D = 44 3(8)+ 2D = 44 24+ 2D = 44 -24 -24 2D = 20 D =$10 2 2

  4. 8.4 Word Problems – Items Purchased You Try: Ex 2) Liz bought 2 CDs and 2 DVDs for $54. She Then bought 4 CDs and 3 DVDs for $93. How much did each CD cost? LetC – Cost of CDs -2 2C + 2D = 54 -4C = -108 – 4D D – Cost of DVDs 4C + 3D 4C + 3D = 93 = 93 -D 0 = -15 -1 -1 D = $15 2C + 2D = 54 2C+ 2(15) = 54 2C+ 30 = 54 -30 -30 2C = 24 C =$12 2 2

  5. 8.4 Word Problems – Items Purchased Notes: Word Problems Type: Items Purchased Ex 3) James bought 5 tacos and 3 burritos for $22. For the same price he could have bought 3 tacos and 4 burritos. How much do burritos cost? LetT – Cost of Tacos = 22 -3 5T + 3B -15T = -66 – 9B B – Cost of Burritos = 22 5 3T + 4B 15T + 20B = 110 = 44 11B + 0 11 11 B = $4 3T + 4B = 22 3T+ 4(4) = 22 3T+ 16 = 22 -16 -16 3T = 6 T =$2 3 3

  6. 8.4 Word Problems – Items Purchased You Try: Ex 4) Greg bought 9 tacos and 2 burritos for $17. For the same price he could have bought 5 tacos and 3 burritos. How much do tacos cost? LetT – Cost of Tacos = 17 -3 9T + 2B -27T = -51 – 6B B – Cost of Burritos = 17 2 5T + 3B 10T + 6B = 34 = -17 + 0 -17T -17 -17 T = $1 5T + 3B = 17 5(1)+ 3B = 17 5+ 3B = 17 -5 -5 3B = 12 B =$4 3 3

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