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

Solving Two-Step Equations PRE-ALGEBRA LESSON 7-1 Solve each equation 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

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

Solve 5v – 12 = 8. Solving Two-Step Equations PRE-ALGEBRA LESSON 7-1 5v – 12 = 8 5v – = Add 12 to each side. 5v = 20Simplify. v = 4Simplify. = Divide each side by 5. 5v55v Check 5v – 12 = 8 5(4) – 12 8Replace v with – 12 8Multiply. 8 = 8Simplify. Quick Check 7-1

Solve 7 – 3b = 1. Solving Two-Step Equations PRE-ALGEBRA LESSON – 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

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 w = 350. Solving Two-Step Equations PRE-ALGEBRA LESSON 7-1 It will take you 10 weeks to pay for the bicycle w = w – 100 = 350 – 100 Subtract 100 from each side. 25w = 250 Simplify. w = 10Simplify. = Divide each side by w Quick Check 7-1

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