2.3 Solving Multi-Step Equations 9/22/16

Common Core State Standards Explain each step in solving a simple equation as following from the equality of numbers. Solve linear equations and inequalities in one variables

Solve each equation 3x + 7 = - 8 Circle the variable. Send the inverse of +7 to both sides of the equation. 3 x + 7 = - 8 - 7 - 7 3x = - 15 Divide 3 on both sides 3x = - 15 3 3 x = - 5 Check your solution. 3x + 7 = - 8 Substitute your answer for the variable. 3(-5) + 7 = - 8 Use Order of Operation rules. - 15 + 7 = - 8 - 8 = - 8 The answer checks out correct!

Solve each equation and check your solution. Isolate the variable by sending the inverse of -6 to the other side. y/5 – 6 = 8 + 6 + 6 y/5 = 14 Fraction means Reciprocal 5/1 • y/5 = 14 • 5/1 y = 70 Check your solution. y/5 - 6 = 8 (70/5) - 6 = 8 14 - 6 = 8 8 = 8

Solve each solution. Check your answer. 9x + 27 = - 72 k/3 + 4 = - 16

Solve each equation. Check each solution. 7/8p - 4 = 10 g/-5 + 3 = 13

Solve Consecutive Integer Problems. Consecutive integers are integers in counting order. We will use n (for 1st Integer), n + 1 (for 2nd Integer), and n + 2 (for 3rd Integer) for consecutive integer problems. Find three consecutive integers whose sum is 36. n + (n + 1) + (n + 2) = 36 Combine like terms. n + n + n = 3n 3n + 3 = 36

Find 3 consecutive integers whose sum is 96

Find three consecutive odd integers with a sum of – 51. We will use n, n + 2, n + 4 for even and odd consecutive integer problems. n + (n + 2) + (n + 4) = - 51 3n + 6 = - 51

Find three consecutive even integers with the sum of – 84. Use n + 2 , n +4, n + 6 n + 2 + (n + 4) + (n + 6) = - 84 3n + 12 = -84

Ticket Out the Door Find three consecutive odd integers whose sum is 117.