Solve 4p + 7 = –13. Solving Two-Step Equations COURSE 3 LESSON 2-2 4p + 7 = –13 4p + 7 – 7 = –13 – 7Subtract 7 from each side. 4p = –20Simplify. Divide each side by 4. 4p44p4 –20 4 = Simplify.p = –5 2-2 Check 4p + 7 = –13 4(–5) + 7 –13Substitute –5 for p. –13 = –13 The solution checks.
Solve 7 = – 1. Solving Two-Step Equations COURSE 3 LESSON 2-2 x5x = – Add 1 to each side. x5x5 8 = Simplify. x5x5 (5)(8) = (5) Multiply each side by 5. x5x5 40 = xSimplify. 2-2
Six people at dinner shared equally a total bill of $180. This total included a tip of $30. Write and solve an equation to find the amount of each person’s share for dinner without the tip. Solving Two-Step Equations COURSE 3 LESSON 2-2 Words(each person’s share for dinner 6) plus tip is $180 Let s = each person’s share for dinner. Equation6s+30=180 6s + 30 = 180 6s + 30 – 30 = 180 – 30 Subtract 30 from each side. 2-2
(continued) Solving Two-Step Equations COURSE 3 LESSON 2-2 Each person’s share for dinner, without the tip, is $25. 6s = 150Simplify. Divide each side by 6. 6s66s = s = 25Simplify. 2-2
Solving Two-Step Equations Solve each equation. 1. – 14 = – 2x = 9 Write and solve an equation. 3.Suppose you bought a $2.75 sandwich and two drinks of equal price. You spend $4.25 in all. How much does one drink cost? COURSE 3 LESSON 2-2 n3n d = 4.25; $