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Solving Two-Step Equations

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

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Solving Two-Step Equations

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  1. 4p + 7 = –13 4p + 7 – 7 = –13 – 7Subtract 7 from each side. 4p = –20 Simplify. 4p 4 –20 4 Divide each side by 4. = p = –5 Simplify. Check 4p + 7 = –13 4(–5) + 7 –13 Substitute –5 for p. –13 = –13 The solution checks. COURSE 3 LESSON 2-2 Solving Two-Step Equations Solve 4p + 7 = –13. 2-2

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

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

  4. 6s = 150 Simplify. 6s 6 150 6 = Divide each side by 6. s = 25 Simplify. COURSE 3 LESSON 2-2 Solving Two-Step Equations (continued) Each person’s share for dinner, without the tip, is $25. 2-2

  5. COURSE 3 LESSON 2-2 Solving Two-Step Equations Solve each equation. 1. – 14 = 1 2. 16 – 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? n 3 3.5 45 2d + 2.75 = 4.25; $.75 2-2

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