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One & Two Step Equations

Learn the essential vocabulary of equations, inverse operations, and solving techniques for one and two-step equations. Practice examples and key properties included.

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One & Two Step Equations

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  1. One & Two Step Equations Integrated Mathematics

  2. Vocabulary • Equation: A statement that the values of two mathematical expressions are equal • Inverse Operations: Operations that undo one another

  3. Solving a One-Step Equation 1) Separate the Equation • 2) ISOLATE THE VARIABLE: • Should It Stay or Should It Go (Variables on Left/Constants on Right) Examples:

  4. Property of Equality You can add or subtract any number to BOTH sides of an equation and the equation will still hold true.

  5. One-Step Equations with Addition/Subtraction Ex.1) x + 2 = 6 Ex.2) a – 4 = 2

  6. One-Step Equations with Addition/Subtraction Ex.3) 19 = y + 7 Ex.4) z – 7 = 4

  7. One-Step Equations with Addition/Subtraction Try These: 2) y - 2 = 12 1) x + 4 = 10 3) 15 = 23 + r 4) -13 + z = 2

  8. Property of Equality You can multiply or divide BOTH sides of an equation by any number and the equation will still hold true.

  9. We all know that 3 = 3. Does 3(4) = 3? NO! But 3(4) = 3(4). The equation is still true if we multiply both sides by 4. An Easy Example: (don’t copy) • Would you ever put deodorant under just one arm? • Would you ever put nail polish on just one hand? • Would you ever wear just one sock?

  10. One-Step Equations with Multiplication/Division Ex.5) -2x = 8 Ex.6) 3y = 15

  11. One-Step Equations with Multiplication/Division Ex.7) = 5 Ex.8) = 4

  12. The two negatives will cancel each other out. The two fives will cancel each other out. What Do We Do with Negative Fractions? Recall that Solve . Multiply both sides by -5.

  13. One-Step Equations with Multiplication/Division Try These: 3) = 4 1) 25 = 5x 4) - = 24 2) -4x = -12

  14. Two-Step Equations 1) Separate the Equation • 2) Should It Stay or Should It Go • Addition/Subtraction • Multiplication/Division 3) Solve for Variable

  15. Two-Step Equations Ex.9) Solve 5x + 7 = 3

  16. Two-Step Equations Ex.10) Solve + 15 = 45

  17. Two-Step Equations Ex.11) Solve 4 = -6y - 20

  18. Two-Step Equations Ex.12) Solve 11z + 8 = 30

  19. Two-Step Equations Ex.13) Solve 4 = -11 +

  20. Two-Step Equations Ex.14) Solve 20 – c = -9

  21. Two-Step Equations Ex.15) Solve

  22. Two-Step Equations Try These: 4) -32 = 4t - 16 1) 11x + 2 = 35 2) 8 = -22 + 2b 5) – 7 = –4 6) 3) 2 = 5x – 8

  23. Write Linear Equations - ADDITION

  24. Write Linear Equations - Subtraction

  25. Write Linear Equations - Multiplication

  26. Write Linear Equations - Division

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