1 Lesson 3.4- Solving Multi-Step Equations, pg. 142 Objectives:To solve problems by working backward.To solve equations involving more than one operation.
2 VocabularyMulti-Step Equations: equations with more than one operation.Consecutive Integers: integers in counting order.Consecutive integers: 7, 8, 9,…Consecutive odd integers: 5, 7, 9, 11..Consecutive even integers: 10, 12, 14, 16…Number theory: the study of numbers and the relationships between them.
3 Ex. 1: Solve each problem by working backwards. A number multiplied by seven, and then the product is added to 13. The result is 55. What is the number?The English alphabet contains 2 more than twice as many letters as the Hawaiian alphabet. How many letters are there in the Hawaiian alphabet?
4 3. Nine is subtracted from a number, and then the difference is multiplied by 5. The result is 75. What is the number?
5 Steps for Solving Multi-Step Equations Step 1: Undo addition and subtractionStep 2: Undo multiplication and division.Step 3: Check
9 Ex. 3: Write an equation and solve each problem. Twelve decreased by twice a number equals Find the number.
10 2. Find three consecutive integers whose sum is 42.
11 3. Find three consecutive even integers whose sum is -30.
12 Summary Steps for Solving Multi-Step Equations Step 1: Undo addition or subtraction.Step 2: Undo multiplication or division.Step 3: Check.Consecutive integers: n, n+1, n+2,…Consecutive odd integers: n, n+2, n+4,…Consecutive even integers: n, n+2, n+4,…NBA #18, pg. 146, problems even