# 1.6-1.7 Translating Problems into Equations & A Problem Solving Plan.

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1.6-1.7 Translating Problems into Equations & A Problem Solving Plan

Translate problems into Equations… Step 1: Read the problem carefully. Step 1: Read the problem carefully. Step 2: Define the variables. Step 2: Define the variables. Step 3: Reread the problem and write the equation. Step 3: Reread the problem and write the equation.

Translate the Problem into an Equation. 1.Marta has twice as much money as Heidi. Together they have \$36. How much money does each have? Let h = Heidis amount and 2h = Martas amount h + 2h = 36

2. A wooden rod 60 in. long is sawed into two pieces. One is 4 in. longer than the other. What are the lengths of the pieces? Let x = shorter length and x + 4 = longer length x + (x + 4) = 60

3. Claire sold 25 more cards than Alice. Claire and Alice sold a total of 211 cards. Find the number of cards Alice sold. Let a = # Alice sold and a + 25 = # Claire sold a + (a + 25) = 211

Problem Solving Plan Step 1: Read the problem carefully. (sketch may help) Step 1: Read the problem carefully. (sketch may help) Step 2: Define variable. Step 2: Define variable. Step 3: Reread the problem and write the equation. Step 3: Reread the problem and write the equation. Step 4: Solve the equation. Step 4: Solve the equation. Step 5: Check your results with the words of the problem. Step 5: Check your results with the words of the problem.

1.Phillip has \$23 more than Kevin. Together they have \$187. How much money does each have? Choices for Kevins amount: 72, 78, 82 Let k = Kevins amount and k + 23 = Phillips amount k + (k + 23) = 187 k 72 72 + (72 + 23) =187 False 7878 + (78 + 23) = 187False 8282 + (82 + 23) = 187True Kevins amount = \$82 Phillips amount = \$105

2. A puppy weighs 12 lb more than a kitten. The puppy weighs seven times as much as the kitten. Find the weights of the puppy and the kitten. Choices for the weight of the kitten: 1, 2, 3, 5 3. Two numbers have a sum of 44. The larger number is 8 more than the smaller. Find the numbers. Choices for the smaller number: 18, 19, 20

HW #4 Page 24 (1-17 odd) Page 24 (1-17 odd) Page 28 (1- 9 odd) Page 28 (1- 9 odd)

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