1. Solving Equations By: Marliese Miller

2. Solving One-Step Equations You use inverse operations, which undo each other, to get the variable alone. An inverse operations is like an opposite operation. You should check your work! Example: 4n = 52 13(4) = 52 4 4 n = 13 You can do it!!!

3. Solving Two-Step Equations Divide your problem by the equal sign. Circle your variable. Get rid pf your number next to the variable by using addition or subtraction. Multiply or divide. Always think of a balance when solving equations! Example: 5x – 24 = 11 7(5) - 24 + 24 +24 35 - 24 = 11 5x = 35 5 5 x = 7

4. Practice With One-Step Equations 1. 5n = 110 2. 7x = 49 3. k = 12 4. 17 + p = 56 3 5. m – 18 = 7

5. One-Step Equation Word Problems Solve and check your solution. 1.A ghost was in a house. He went to 13 houses. He scared a total of 65 people. If each house had the same number of people, how many people were in each house? 2.A young girl went trick-or-treating. She went to about 17 houses. She got 34 pieces of candy altogether. If each house gave the same amount of candy, how many pieces were from each house? 3.A boy was counting up how much candy corn he had. There was a total of 86 pieces. He got 39 pieces in one development. How many pieces did he get in the other development?

6. Practice With Two-Step Equations 1. 5n + 14 = 44 2. 4y – 7 = 33 3. 17r + 4 = 106 4. 8n + 14 = 54 5. 6p + 22 = 46

7. Two-Step Equation Word Problems Solve and check your solution. 1.You are buying candy and a Halloween decoration. The Halloween decoration is $28. You buy 5 bags of candy, and spend a total of $37. How much did each bag of candy cost? 2.You are buying a costume for you and your brothers. Your brothers get the same costume for $16 each. Your costume costs $22. The total cost is $54. How many brothers do you have? 3.A waiter had to work on Halloween for the Halloween themed restaurant. He earned $67 that night. He worked 5 hours. He got $37 from tips. What was his hourly wage?

8. Solutions One-Step Equations 1. n = 22 2. x = 7 3. k = 36 4. p = 39 5. m = 25 Two-Step Equations 1. n = 6 2. y = 10 3. r = 6 4. n = 5 5. p = 4

9. More Solutions One-Step Word Problems 1.x = 5 people 2.x = 2 pieces 3.n = 47 pieces Two-Step Word Problems 1.x = $1.80 2.x = 2 brothers 3.p = $6