1. Writing and Solving a Two-Step Equation EXAMPLE 2 The sum of 4 times a number plus –6 is 14. What is the number? 4 times a number and –6 is 14. Write a verbal model. 4 n + (–6) = 14 Translate. 4n – 6 = 14 Write equation. 4n – 6 + 6 = 14 + 6 Add 6 to each side. 4n = 20 Simplify. 4n4n 4 = 20 4 Divide each side by 4. n = 5 Simplify. ANSWERThe number is 5.

2. Writing and Solving a Two-Step Equation EXAMPLE 3 You want to find how many pages you need to read per week in order to finish several books in six weeks. The books have a total of 1244 pages. You have already read 500 pages. How many pages do you have to read per week? Reading

3. EXAMPLE 3 1244 = 6p + 500 Write an algebraic model. 1244 – 500 = 6p + 500 – 500 Subtract 500 from each side. 744 = 6p SOLUTION Let p be the number of pages to read per week. Simplify. Divide each side by 6 744 = 6p 66 124 = p Simplify. ANSWERYou have to read 124 pages per week. Writing and Solving a Two-Step Equation

4. GUIDED PRACTICE for Examples 2 and 3 2. The difference of six times a number and 9 is -3. What is the number? ANSWERThe number is 1.

5. GUIDED PRACTICE 3. What If? Suppose in Example 3 that you have read 714 pages and have five weeks left. How many pages do you have to read per week? for Examples 2 and 3 ANSWER You have to read 106 pages per week