Lesson 8. Homework Problem Set Sample Solutions. 1. r = p = x = n = x = m = x = n =

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1 Homework Problem Set Sample Solutions 1. r = 2 2. p = x = 4 4. n = x = 2 6. m = x = 1 8. n = v = v = 10 Unit 3: Solving Equations & Inequalities 107

2 11. b = n = k = x = x = x = n = x = m = n = 28 5 Unit 3: Solving Equations & Inequalities 108

3 Recording Sheet for Station 1: Envelope Equations Name: Expression from 1 st envelope = Expression from 2 nd envelope Solution & Checking Solution = = = Unit 3: Solving Equations & Inequalities 109

4 Recording Sheet for Station 2: By the Shapes Name: Unit 3: Solving Equations & Inequalities 110

5 Recording Sheet for Station 3: Connect Four Name: Use this sheet to record each of your problems and your work. If your answer was correct, then circle the entire problem. If it was incorrect, leave your original work and then work with your partner to find your mistake. Unit 3: Solving Equations & Inequalities 111

6 Recording Sheet for Station 4: Puzzle It Out Name: Unit 3: Solving Equations & Inequalities 112

7 Recording Sheet for Station 5: Mixed Up Steps Name: Solve the equation 3 n + 1 = 5n+ 3 3n and use the Mixed Up Steps handout to explain what happened at 4 2 each step of the solution. 3n 1 + = 5 n+ 3 3 n 4 2 Unit 3: Solving Equations & Inequalities 113

8 Station 1: Envelope Equations Directions: Copy this sheet on one color of paper and the second sheet on another. Matching two different colors will result in an equation that can be solved. Also the first page has simpler expressions to be used. 2x + 7 2x 3 2x x x 13 2x 3x 1 3x 9 3x x 17 3x -3x 9-3x 2 4x 7 9 4x -1 4x -5 2x 21 2x Unit 3: Solving Equations & Inequalities 114

9 5x 11 8x x 12 7x 6x + 5 6x 15 8x (3x + 4) 7x (2x 1) 3x + (9 8x) 6x (x + 3) 3(5 3x) 2(3x 5) -3(2x 4) -5(7 x) 12x 13 9x 2(x 4) 2x 3(4x + 1) 12x 3(2x 4) Unit 3: Solving Equations & Inequalities 115

10 Unit 3: Solving Equations & Inequalities 116

11 Unit 3: Solving Equations & Inequalities 117

12 Unit 3: Solving Equations & Inequalities 118

13 Unit 3: Solving Equations & Inequalities 119

14 Station 2: By the Shape Answer Key Unit 3: Solving Equations & Inequalities 120

15 arsia Puzzle for Station 4 [source: /8/4/9/ /solvingequationstarsiapuzzle. pdf] Unit 3: Solving Equations & Inequalities 121

16 Complete puzzle for Station 4 Unit 3: Solving Equations & Inequalities 122

17 Mixed Up Steps handout Cut out and glue the steps onto the worksheet in the correct order. Isolate the variable. Combine like terms. Do the same operation to both sides of the equation. Use the distributive property. Clear all fractions by multiplying by the LCD. Substitute the value of the unknown into the original equation. Cut out and glue the steps onto the worksheet in the correct order. Isolate the variable. Combine like terms. Do the same operation to both sides of the equation. Use the distributive property. Clear all fractions by multiplying by the LCD. Substitute the value of the unknown into the original equation. Cut out and glue the steps onto the worksheet in the correct order. Isolate the variable. Combine like terms. Do the same operation to both sides of the equation. Use the distributive property. Clear all fractions by multiplying by the LCD. Substitute the value of the unknown into the original equation. Unit 3: Solving Equations & Inequalities 123

18 Unit 3: Solving Equations & Inequalities 124

3) x -7 4) 3 < x. When multiplying or dividing by a NEGATIVE number, we SWITCH the inequality sign!

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