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# Sub and mult. one step equations

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### Sub and mult. one step equations

1. 1. Solve an equation using addition EXAMPLE 2 Solve x – 12 = 3 . Vertical format Write original equation. x – 12 = 3 Add 12 to each side. Simplify. + 12 + 12 x = 15
2. 2. Solve an equation using division EXAMPLE 3 Solve – 6 x = 48 . – 6 x = 48 x = – 8 Write original equation. Divide each side by – 6 . Simplify. – 6 – 6 =
3. 3. GUIDED PRACTICE for Example 2 and 3 1. y + 7 = 10 . y + 7 = 10 Write original equation. y + 7 – 7 = 10 – 7 Use subtraction property of equality: Subtract 7 from each side. y = 3 Simplify. Solve the equation. Check your solution. ANSWER The solution is 3.
4. 4. GUIDED PRACTICE for Example 2 and 3 CHECK Substitute 3 for y in the original equation . y + 7 = 10 Write original equation. Substitute 3 for y . Simplify. Solution checks. 3 + 7 = 10 ? 10 = 10
5. 5. 2 . x – 5 = 3 . Horizontal format Vertical format x – 5 = 3 Write original equation. x – 5 = 3 Add 5 to each side. x = 8 Simplify. x – 5 + 5 = 3 + 5 GUIDED PRACTICE for Example 2 and 3 Solve the equation. Check your solution. + 5 + 5 x = 8
6. 6. GUIDED PRACTICE for Example 2 and 3 CHECK Substitute 8 for x in the original equation. x – 5 = 3 Write original equation. Substitute 8 for x . Simplify. Solution checks. 8 – 5 = 3 ? 3 = 3
7. 7. GUIDED PRACTICE for Example 2 and 3 3. q – 11 = – 5 . Horizontal format q – 11 = – 5 Write original equation. Add 11 to each side. q = 6 Simplify. q – 11 + 11 = – 5 + 11 Solve the equation. Check your solution.
8. 8. GUIDED PRACTICE for Example 2 and 3 CHECK Substitute 6 for q in the original equation. q – 11 = –5 Write original equation. Substitute 6 for q . Simplify. Solution checks. 6 – 11 = –5 ? – 5 = –5
9. 9. GUIDED PRACTICE for Example 2 and 3 5 . 4 x = 48 . 4 x = 48 x = 12 Write original equation. Divide each side by 4 . Simplify. Solve the equation. Check your solution. 4 x 4 48 4 =
10. 10. GUIDED PRACTICE for Example 2 and 3 CHECK Substitute 12 for x in the original equation . 4 x = 48 . Write original equation. Substitute 12 for x . Simplify. Solution checks. 48 = 48 4 12 = 48 ?