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# One Step Equations

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• You must subtract the same number from what you want to be moved. The idea is keep the variable alone by doing the opposite.
• Add the opposite sign of the number you want to move.
• When solving multiplication equations, you divide both sides by the number attached to the variable. Be sure to use the same sign.
• Multiply both sides by the reciprocal. You must keep the sign of the fraction with the variable.
• ### One Step Equations

1. 1. One step equations Add Subtract Multiply Divide
2. 2. Addition <ul><li>X + 5 = -9 </li></ul><ul><li>X + 5 - 5 = -9 -5 </li></ul><ul><li>X = -14 </li></ul><ul><li>-6 + X = -4 </li></ul><ul><li>-6 + 6 + X = -4 + 6 </li></ul><ul><li>X = 2 </li></ul>
3. 3. Try the following on your paper. <ul><li>10 = X + 3 </li></ul><ul><li>5 + X = 9 </li></ul><ul><li>6 = 3 + X </li></ul>
4. 4. Answers!!! <ul><li>X = 7 </li></ul><ul><li>X = 4 </li></ul><ul><li>X = 3 </li></ul>
5. 5. Equations with subtraction <ul><li>X - 5 = 8 </li></ul><ul><li>X - 5 + 5 = 8 +5 </li></ul><ul><li>X = 13 </li></ul><ul><li>5 - X = 6 </li></ul><ul><li>5 - 5 + X = 6 - 5 </li></ul><ul><li>X = 1 </li></ul>
6. 6. Try the following on your paper. <ul><li>X - 7 = -1 </li></ul><ul><li>X - 4 = 66 </li></ul><ul><li>8 = X - 2 </li></ul><ul><li>-8 = X - 2 </li></ul>
7. 7. Answers!!! <ul><li>X = 6 </li></ul><ul><li>X = 70 </li></ul><ul><li>X = 10 </li></ul><ul><li>X = -6 </li></ul>
8. 8. Multiplication of Equations <ul><li>3X = -9 </li></ul><ul><li>3X /3 = -9 /3 </li></ul><ul><li>X = -3 </li></ul><ul><li>-5X = -40 </li></ul><ul><li>-5X /-5 = -40 /-5 </li></ul><ul><li>X = 8 </li></ul>
9. 9. Try these on your paper. <ul><li>4X = -16 </li></ul><ul><li>-1X = 9 </li></ul><ul><li>6 = 5X </li></ul><ul><li>12X = 3 </li></ul>
10. 10. Answers!!! <ul><li>X = -4 </li></ul><ul><li>X = -9 </li></ul><ul><li>X = 6/5 </li></ul><ul><li>X = 1/4 </li></ul>
11. 11. Division of Equations <ul><li>1/2X = 4 </li></ul><ul><li>(2/1) 1/2X = 4 (2) </li></ul><ul><li>X = 8 </li></ul><ul><li>-3/4X = 6 </li></ul><ul><li>(-4/3) (-3/4)X = 6 (-4/3) </li></ul><ul><li>X = -8 </li></ul>
12. 12. Try these on your paper. <ul><ul><li>X/3 = 9 </li></ul></ul><ul><ul><li>-X/4 = 7 </li></ul></ul><ul><ul><li>1/3X = -1 </li></ul></ul><ul><ul><li>4 = X/4 </li></ul></ul>
13. 13. Answers!!! <ul><li>X = 27 </li></ul><ul><li>X = -28 </li></ul><ul><li>X = -3 </li></ul><ul><li>X = 16 </li></ul>
14. 14. Write the following on your paper for a quiz grade. <ul><li>_4X = 15 </li></ul><ul><li>X/2 = -8 </li></ul><ul><li>9 - X = -1 </li></ul><ul><li>-12 + X = 0 </li></ul><ul><li>-X/3 = 4 </li></ul><ul><li>X + 5 = 5 </li></ul><ul><li>X - 4 = 4 </li></ul><ul><li>-X = 5 </li></ul><ul><li>X + 50 =-50 </li></ul><ul><li>X/5 = -55 </li></ul>