Solving Complex Multi-Step Equations

1. Solve for x. -3(6x - 4) - 2x = -108 -5.2 -6 6 None of these 3. Find the mistake the student made. 2 + 6) + 4 = 10 3 • [2 + 6) + 4 = 10] 2(x + 6) + 4 = 30 2x + 16 = 30 2x = 14 x = 7 He multiplied by three instead of 3 He didn't multiply the 6 by 3 He multiplied the 10 by 3 He didn't multiply the 4 by 3. He didn't distribute the 2 times the 6 4. Name the property that allows the student to do STEP 2.STEP 1: 5 - 3 = 1 2: 12 • [5 - 3 = 1 3: 10x - 9x = 4STEP 4: x = 4 Distributive Property Multiplication Property of Equality Find the LCD Property STEP 2 is incorrect. 5. Name the property that justifies STEP 2.STEP 1: 4x - 6 = 10STEP 2: 4x = 16STEP 3: x = 4 Addition Property of Equality Subtraction Property of Equality Combining Like-Terms Identity Property 6. Solve for x. 10 - (x + 3) = 1 - 4) -9 9 -15 15 7. Solve for x. x + 5 = x 5 -5 10 -10 8. Name the property that justifies STEP 2.STEP 1: 3x - 6 = 15STEP 2: x - 2 = 5STEP 3: x = 7 Multiplication Property of Equality Division Property of Equality Addition Property of Equality STEP 2 is incorrect