Homework Problem Set Sample Solutions 1. r = 2 2. p = - 12 3. x = 4 4. n = -2 5. x = 2 6. m = -1 7. x = 1 8. n = 10 9. v = 2 10. v = 10 Unit 3: Solving Equations & Inequalities 107
11. b = -1 12. n = 0 13. k = 0 14. x = -1 15. x = 0 16. x = 2 17. n = 25 4 18. x = 26 39 19. m = 39 10 20. n = 28 5 Unit 3: Solving Equations & Inequalities 108
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
Recording Sheet for Station 2: By the Shapes Name: Unit 3: Solving Equations & Inequalities 110
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
Recording Sheet for Station 4: Puzzle It Out Name: Unit 3: Solving Equations & Inequalities 112
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
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 + 15 2x 10 8 2x 13 2x 3x 1 3x 9 3x + 5 8 3x 17 3x -3x 9-3x 2 4x 7 9 4x -1 4x -5 2x 21 2x Unit 3: Solving Equations & Inequalities 114
5x 11 8x + 3 8 7x 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
Unit 3: Solving Equations & Inequalities 116
Unit 3: Solving Equations & Inequalities 117
Unit 3: Solving Equations & Inequalities 118
Unit 3: Solving Equations & Inequalities 119
Station 2: By the Shape Answer Key Unit 3: Solving Equations & Inequalities 120
arsia Puzzle for Station 4 [source: http://mrskowalskimath.weebly.com/uploads/3 /8/4/9/38497551/solvingequationstarsiapuzzle. pdf] Unit 3: Solving Equations & Inequalities 121
Complete puzzle for Station 4 Unit 3: Solving Equations & Inequalities 122
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
Unit 3: Solving Equations & Inequalities 124