Solving TwoStep Equations COURSE 3 LESSON 2 2

Solving Two-Step Equations COURSE 3 LESSON 2 -2 Solve 4 p + 7 = – 13 4 p + 7 – 7 = – 13 – 7 Subtract 7 from each side. 4 p = – 20 Simplify. 4 p – 20 = 4 4 Divide each side by 4. p = – 5 Simplify. Check 4 p + 7 = – 13 4(– 5) + 7 – 13 = – 13 Substitute – 5 for p. The solution checks. 2 -2

Solving Two-Step Equations COURSE 3 LESSON 2 -2 Solve 7 = x 7+1= 5 – 1+1 x 8= 5 Add 1 to each side. Simplify. x (5)(8) = (5) 5 40 = x x – 1. 5 Multiply each side by 5. Simplify. 2 -2

COURSE 3 LESSON 2 -2 Solving Two-Step Equations 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. Words (each person’s share for dinner 6) plus tip is $180 Let s = each person’s share for dinner. Equation 6 s + 30 = 180 6 s + 30 – 30 = 180 – 30 Subtract 30 from each side. 2 -2 180

COURSE 3 LESSON 2 -2 Solving Two-Step Equations (continued) 6 s = 150 Simplify. 150 6 s = 6 6 Divide each side by 6. s = 25 Simplify. Each person’s share for dinner, without the tip, is $25. 2 -2

COURSE 3 LESSON 2 -2 Solving Two-Step Equations Solve each equation. 1. n – 14 = 1 3 45 2. 16 – 2 x = 9 3. 5 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? 2 d + 2. 75 = 4. 25; $. 75 2 -2