Then/Now You solved single-step equations. (Lesson 2–2) Solve equations involving more than one operation. Solve equations involving consecutive integers.

Vocabulary multi-step equation consecutive integers number theory

Order for Equation Solving 1.Clear parentheses 2.Combine like terms 3.Move all variables to the same side of the equation 4. Add or subtract constants 5. Multiply or divide

Example 1 Solve Multi-Step Equations A. Solve 2q + 11 = 3. Check your solution.

Example 1 Solve Multi-Step Equations B. Solve. Check your solution.

A.A B.B C.C D.D Example 1 A. Solve 6v + 7 = –5. Check your solution.

A.A B.B C.C D.D Example 1 B. Solve. Check your solution.

Example 2 Write and Solve a Multi-Step Equation SHOPPING Susan had a $10 coupon for the purchase of any item. She bought a coat that was its original price. After using the coupon, Susan paid $125 for the coat before taxes. What was the original price of the coat? Write an equation for the problem. Then solve the equation.

A.A B.B C.C D.D Example 2 Three-fourths of the difference of a number and 7 is negative fifteen. What is the number?

Concept Consecutive Integers Consecutive odd integers Consecutive even integers

Example 3 Solve a Consecutive Integer Problem NUMBER THEORY Write an equation for the problem below. Then solve the equation and answer the problem. Find three consecutive odd integers whose sum is 57.

A.A B.B C.C D.D Example 3 Find three consecutive even integers whose sum is 84.