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Name ____________________________________ Date ____________________ Unit 3 Equations ~ Study Guide ** Use Calculator** Evaluating Equations 1) Substitute the value of the number for the variable. 2) Solve. One Step Addition Equations and Check 1) Write the equation 2) Isolate the variable (get the variable so it is on one side of the equal sign) 3) Solve 4) Check by replacing the variable with the number (your answer) to be sure you are correct. One Step Subtraction Equations and Check 1) Write the equation 2) Isolate the variable (get the variable so it is on one side of the equal sign) 3) Solve 4) Check by replacing the variable with the number (your answer) to be sure you are correct. Addition/ Subtraction Equations with Decimals 1) Follow steps above for one step equations for addition and subtraction 2) Process with decimals – use CALCULATOR! Solving Multiplication Equations 1. Write the equation 2. Use inverse operation (division) 3. Solve for the value of the variable 4. Check using substitution Which of the following numbers make the equation true? 15 + m = 75 { 5, 25, 60} Solve W + 27 = 81 Check Solve X – 27 = 42 Check Solve Z – 31.3 = 17.6 Solve 8b = 136 Solving Division Equations 1. Write the equation 2. Use inverse operation (multiplication) 3. Solve for the value of the variable 4. Check using substitution Check Solve X = 12 9 Check Solve 1.6y = 9.6 Check Check Problem Solving Strategies (add/subtract/multiply/divide) 1) Read the problem (3x) 2) Identify the question 3) Find facts needed to create an equation 4) Write an equation 5) Solve and check- be sure your answer is reasonable and makes sense Eddie had 76 CDs until he won (w) more in a contest. He now has 98 CDs in his collection. How many CDs did Eddie win in the contest? Write, solve and check the equation using inverse operations. Bar Diagram – a bar diagram is a visual strategy to help you write an equation _______Total__________ (Total on top) Drew sold lemonade and apples at the school fair. She sold a total of $64. If she sold $21 in lemonade, how many dollars worth of apples did she sell? Write an equation, solve and check Steven bicycled 126 miles in a month. He bicycled 17 miles less than Jessica. Write and solve an equation to find how far Jessica went. The Tech Club pools their money to buy robot parts. They divide the parts among the 13 members. Each gets 24 parts. Write an equation to find the total number of parts. Then solve and check your equation. Davis saves $15 each week that he earns baby sitting. After 8 weeks, how much money will he have saved? Write an equation, then solve and check Millie buys groceries each month totaling $524 each month. What is the average amount she spends each week? Mrs. Strom jumped 6.5 meters. Mrs. Spatola jumped 8.4 meters. About how much farther did Mrs. Spatola jump than Mrs. Strom? Write an expression to represent five times as much money than Sue.