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Transcript
COURSE 3 LESSON 2-2 Solving Two-Step Equations Solve 4p + 7 = –13. 4p + 7 = –13 4p + 7 – 7 = –13 – 7 Subtract 7 from each side. 4p = –20 Simplify. 4p –20 = 4 4 Divide each side by 4. p = –5 Simplify. Check 4p + 7 = –13 4(–5) + 7 –13 –13 = –13 Substitute –5 for p. The solution checks. 2-2 COURSE 3 LESSON 2-2 Solving Two-Step Equations Solve 7 = x – 1. 5 x 7+1= 5 –1+1 x 8= 5 Simplify. x (5)(8) = (5) 5 40 = x Add 1 to each side. 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 6s + 30 = 6s + 30 = 180 6s + 30 – 30 = 180 – 30 Subtract 30 from each side. 2-2 180 COURSE 3 LESSON 2-2 Solving Two-Step Equations (continued) 6s = 150 Simplify. 150 6s = 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 – 2x = 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? 2d + 2.75 = 4.25; $.75 2-2