Unit 3 Day 4: Solving Multi-Step Equations

Unit 3 Day 4: Solving Multi-Step EquationsObjectives:Solve equations involving more than one operationSolve equations involving consecutive integers.Equations that require more than one step to solve are called multi-step equations. To solve these equations, we must undo each operation by working backward.Solve Multi-Step EquationsExample 1: Solve Multi-Step EquationsGuided PracticeReal-World Example 2Guided Practice 2AGuided Practice 2BSolve Consecutive Integer ProblemsConcept Summary:Consecutive IntegersNUMBER THEORY Write an equation for the following problem. Then solve the equation and answer the problem. Find three consecutive odd integers with a sum of -51.Example 3: Solve a Consecutive Integer ProblemWrite an equation for the following problem. Then solve the equation and answer the problem.Find three consecutive integers with a sum of 21.Guided Practice 3Check Your UnderstandingExample 1Check Your UnderstandingExample 1 ANSWERSNUMBER THEORY Twelve decreased by twice a number equals -34. Write an equation for this situation and then find the number.

BASEBALL Among the career home run leaders for Major League Baseball, Hank Aaron has 175 fewer than twice the number that Dave Winfield has. Hank Aaron hit 755 home runs. Write an equation for this situation. How many home runs did Dave Winfield hit in his career?Check Your Understanding Example 2Check Your UnderstandingExample 2 ANSWERSWrite an equation and solve each problem.

Find three consecutive odd integers with a sum of 75.

Find three consecutive integers with a sum of -36.Check Your Understanding Example 3Check Your Understanding Example 3ANSWERS