2. One & Two Step Equations INTEGRATED MATHEMATICS

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

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

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

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

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

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

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

10. An Easy Example: (don’t copy) 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. Would you ever put deodorant under just one arm? Would you ever put deodorant under just one arm? Would you ever put nail polish on just one hand? Would you ever put nail polish on just one hand? Would you ever wear just one sock? Would you ever wear just one sock?

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

12. One-Step Equations with Multiplication/Division

13.  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.

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

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

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

17. Two-Step Equations Ex.12) Solve 11z + 8 = 30 Ex.11) Solve 4 = -6y - 20

18. Two-Step Equations

19. Try These: 1) 11x + 2 = 35 2) 8 = - 22 + 2b 3) 2 = 5x – 8 4) -32 = 4t - 16