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Name ______________________________ CCGPS Coordinate Algebra Unit 2 MCC9‐12.A.REI.1, MCC9‐12.A.REI.3, MCC9‐12.A.REI.5, MCC9‐12.A.REI.6 Walch Lesson 2.1.1 Guided Practice 1. Which property of equality is missing in the steps to solve the equation –7x + 22 = 50? Equation Steps –7x + 22 = 50 Original equation –7x = 28 x = –4 Division property of equality x 2. Which property of equality is missing in the steps to solve the equation -3 =4? 6 Equation Steps Original equation x -3 =4 6 Addition property of equality x - =7 6 -x = 42 x = -42 Division property of equality 3. Which property of equality is missing in the steps to solve the equation 76 = 5x – 15 + 2x? Equation Steps 76 = 5x – 15 + 2x Original equation 76 = 5x + 2x - 15 Commutative property of equality 76 = 7x - 15 Distributive property to combine like terms 91 = 7x Addition property of equality 13 = x Division property of equality x = 13 4. What equation is missing in the steps to solve the equation 5x + 3(x + 4) = 28? Equation Steps 5x + 3(x + 4) = 28 Original equation 5x + 3x + 12 = 28 Distributive property 8x + 12 = 28 Distributive property to combine like terms Subtraction property of equality x=2 Division property of equality HOMEWORK Identify the property of equality that justifies each missing step or equation in each of the following tables. 1. Equation Steps x – 1.2 = 1.9 Original equation x = 3.1 2. Equation Steps 5x = 37 Original equation x = 7.4 3. Equation 2x + 3 = 15 2x = 12 x=6 Steps Original equation Subtraction property of equality 4. Equation Steps 19 = 2x - 7 26 = 2x 13 = x x = 13 Original equation Equation x + (x – 0.6) = 2 2x – 0.6 = 2 Steps Original equation Associative property of equality Addition property of equality Division property of equality Symmetric property of equality 5. x = 1.3 6. Equation x + (4x + 32) = 12 5x + 32 = 12 5x = -20 Steps Original equation Associative property of equality Division property of equality 7. Equation 4(x – 6) = 40 x – 6 = 10 x = 16 Steps Original equation 8. Equation Steps 1.4 – 0.3x + 0.7x = 9.4 Original equation 1.4 + 0.4x = 9.4 0.4x = 8 x = 20 Solve each equation that follows. Justify each step in your process using the properties of equality. Be sure to include the properties of operations, if used. 9. 7x – (4x – 39) = 0 10. 4(3x + 5) = –4
