1. 7-1 Solving Two-Step Equations PRE-ALGEBRA LESSON 7-1 Solve each equation. a. 15 = 8 + n n = 7 b. p – 19 = 4 p = 23

2. Solving Two-Step Equations PRE-ALGEBRA LESSON 7-1 Solve each equation. 1.9 + k = 17 2.d – 10 = 1 3.y – 5 = –4 4.x + 16 = 4 5.b + 6 = –4 (For help, go to Lesson 2-5.) Check Skills You’ll Need 7-1

3. Solving Two-Step Equations PRE-ALGEBRA LESSON 7-1 1.9 + k= 17 –9 + 9 + k= –9 + 17 k = 8 2. d – 10 = 1 d – 10 + 10 = 1 + 10 d = 11 5. b + 6 = –4 b + 6 – 6 = –4 – 6 b = –10 3. y – 5 = –4 y – 5 + 5 = –4 + 5 y = 1 4. x + 16 = 4 x + 16 – 16 = 4 – 16 x = –12 Solutions 7-1

4. Solve 5v – 12 = 8. Solving Two-Step Equations PRE-ALGEBRA LESSON 7-1 5v – 12 = 8 5v – 12 + 12 = 8 + 12Add 12 to each side. 5v = 20Simplify. v = 4Simplify. = Divide each side by 5. 5v55v5 20 5 Check 5v – 12 = 8 5(4) – 12 8Replace v with 4. 20 – 12 8Multiply. 8 = 8Simplify. Quick Check 7-1

5. Solve 7 – 3b = 1. Solving Two-Step Equations PRE-ALGEBRA LESSON 7-1 7 – 3b = 1 –7 + 7 – 3b = –7 + 1 Add –7 to each side. 0 – 3b = –6Simplify. –3b = –60 – 3b = –3b. b = 2Simplify. = Divide each side by –3. –3b –3 –6 –3 Quick Check 7-1

6. You borrow $350 to buy a bicycle. You agree to pay $100 the first week, and then $25 each week until the balance is paid off. To find how many weeks w it will take you to pay for the bicycle, solve 100 + 25w = 350. Solving Two-Step Equations PRE-ALGEBRA LESSON 7-1 It will take you 10 weeks to pay for the bicycle. 100 + 25w = 350 100 + 25w – 100 = 350 – 100 Subtract 100 from each side. 25w = 250 Simplify. w = 10Simplify. = Divide each side by 25. 25w 25 250 25 Quick Check 7-1

7. Solving Two-Step Equations PRE-ALGEBRA LESSON 7-1 Solve each equation. 1.12x – 14 = 102. + 7 = –4 3.9 – w = 134.–22 – = –15 5.4d – 57 = 7 r3r3 q5q5 2–33 –4 –35 16 7-1