Bell Ringer. Solve each equation. Show you work. Check the solution. 8 = 7 + m = m 15 = m = 7 + m 8 = = 8


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2 Bell Ringer Solve each equation. Show you work. the solution = 7 + m 8 = 7 + m = m 15 = m 8 = 7 + m 8 = = 8
3 Answers to Homework Worksheet 21
4 Today s Objectives Solving Two Step Equations
5 When we solve two step equations, we do all of our adding and subtracting first. Then we multiply or divide. Solve: Our first two step equation We don t see a multiplication sign so we assume it is multiplication 2x + 5 = x + 0 = 10 2x = 10 2 x = 5 2 2x + 5 = 15 2(5) + 5 = = = 15 The process is basically the same as a one step Identify the variable, it is x Notice the operation of addition, so we do the opposite to both sides Now subtract from both sides The 5 s cancel each other out, by adding/subtracting to 0 (zero) 15 minus 5 is 10 Notice the operation of multiplication, so we do the opposite to both sides Now divide from both sides The 2 s cancel each other out, by dividing to 1 10 divided by 2 is 5 The solution is x = 5 the solution
6 When we solve two step equations, we do all of our adding and subtracting first. Then we multiply or divide. Solve: Another two step equation We don t see a multiplication sign so we assume it is multiplication 3x  1 = x + 0 = 21 3x = 21 3 x = 7 3 3x  1 = 20 3(7)  1 = = = 20 Identify the variable, it is x Notice the operation of subtraction, so we do the opposite to both sides Now add to both sides The 1 s cancel each other out, by adding/subtracting to 0 (zero) 20 plus 1 is 21 Notice the operation of multiplication, so we do the opposite to both sides Now divide from both sides The 3 s cancel each other out, by dividing to 1 21 divided by 3 is 7 The solution is x = 7 the solution
7 When we solve two step equations, we do all of our adding and subtracting first. Then we multiply or divide. Solve: Another two step equation We don t see a multiplication sign so we assume it is multiplication 3b  5 = b + 0 = 183b = b = 63b  5 = 133(6)  5 = = = 13 Identify the variable, it is b Notice the operation of subtraction, so we do the opposite to both sides Now add to both sides The 5 s cancel each other out, by adding/subtracting to 0 (zero) 13 plus 5 is 18 Notice the operation of multiplication, so we do the opposite to both sides Now divide from both sides The 3 s cancel each other out, by dividing to 1 18 divided by 3 is 6 The solution is b = 6 the solution
8 When we solve two step equations, we do all of our adding and subtracting first. Then we multiply or divide. Solve: Another two step equation, but with division n  3 = n  3 = = 7 2 n + 0 = 10 2 (2) n = 10 (2) = 7 7 = 7 n = 20 Identify the variable, it is n Notice the operation of subtraction, so we do the opposite to both sides Now add to both sides The 3 s cancel each other out, by adding/subtracting to 0 (zero) 7 plus 3 is 10 Notice the operation of division, so we do the opposite to both sides Now multiply both sides The 2 s cancel each other out, by multiplying to 1 10 multiplied by 2 is 20 The solution is n = 20 the solution
9 When we solve two step equations, we do all of our adding and subtracting first. Then we multiply or divide. Solve: Another two step equation, but with division x + 9 = x + 0 = 4 7 (7) x = 4 (7) 7 x = 28 x + 9 = = = = 13 Identify the variable, it is x Notice the operation of addition, so we do the opposite to both sides Now subtract from both sides The 9 s cancel each other out, by adding/subtracting to 0 (zero) 13 minus 9 is 4 Notice the operation of division, so we do the opposite to both sides Now multiply both sides The 7 s cancel each other out, by multiplying to 1 4 multiplied by 7 is 28 The solution is x = 28 the solution
10 When we solve two step equations, we do all of our adding and subtracting first. Then we multiply or divide. Solve: Another two step equation, but with division x + 3 = x + 0 = 84 (4) x = 8 (4) 4 x + 3 = = = 55 = 5 x = 32 Identify the variable, it is x Notice the operation of addition, so we do the opposite to both sides Now subtract from both sides The 3 s cancel each other out, by adding/subtracting to 0 (zero) 5 minus 3 is 8 Notice the operation of division, so we do the opposite to both sides Now multiply both sides The 4 s cancel each other out, by multiplying to 18 multiplied by 7 is 32 The solution is x = 32 the solution
11 Quick Review x + 6 = x + 0 = 22 (2) x = 2 (2) 2 x = 4 x + 6 = = = 4 4 = 4 14j  7 = j + 0 = 91 14j = j = 7 14j  7 = 91 14(7)  7 = = = a  3 = a + 0 = 8 240a = a = a  3 = = = 5 5 = 5
12 x + 7 = x + 0 = 44 (4) x = 4 (4) 4 x = 16 x + 7 = = = = 11 Quick Review Show your work as you solve the following equations. Then check each. 1. x + 7 = b  50 = h  8 = b  50 = b = b = 22 3b  50 = 16 3(22)  50 = = = 16 7h  8 = h = h = 5 7h  8 = 27 7(5)  8 = = = 27
13 z  5 = (3) z = 2 (3) 3 z = 6 z  5 = = = 33 = 3 Quick Review Show your work as you solve the following equations. Then check each. 4. z  5 = m  13 = k + 12 = m  13 = m = m = 9 6m  13 = 41 6(9)  13 = = = 414k + 12 = k = k = 54k + 12 = 204(5) + 12 = = = 20
14 v  12 = (9) v = 21 (9) 9 v = 189 v  12 = = = 9 9 = 9 Quick Review Show your work as you solve the following equations. Then check each. 7. v  12 = s  7 = p + 7 = s  7 = s = s = 22 2s  7 = 37 2(22)  7 = = = 379p + 7 = p = p = 119p + 7 = 1069(11) + 7 = = = 106
15 Quick Review Show your work as you solve the following equations. Then check each. 10. g + 9 = 203 g + 9 = (3) g = 11 (3) 3 g = 33 g + 9 = = = = 20
16 SHOWING YOUR WORK 10. g + 9 = 203 g + 9 = (3) g = 11 (3) 3 g = 33 g + 9 = = = = 20
17 Assignment Worksheet 73 A
18 Answers to Homework Worksheet 73 A
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