1. Ch 3.1 Objective: To solve simple, one-step variable equations

2. Definition Equation A balanced statement of equality between two quantities. One Step Only one operation is performed (+, -, *, ÷) 4 + 3 = 7 fulcrum 4 + 37 =

3. 1) Goal: Isolate the variable. 2) Undo operations with their opposite operation. 3) Always do the same thing to both sides of the equation.

4. fulcrum 4 + 37 = - 3

5. fulcrum 4 7 =

6. 4 7 =

7. 4 7 =

8. 4 + 37 = - 3

9. 44 = Perform the same operation to both sides to keep the equation balanced.

10. x + 611 = This property can be used to solve variable equations. -6 x5 = x + 6 = 11 -6 x = 5 Algebraic Approach

11. Solve. 1) m + 2 = 10 2) x - 4 = 6 3) x + 7 = 3 4) m - 4 = 9 5) 11 = x - - 2 6) 8 + y = -6 -2 m = 8 +4 x = 10 -7 x = -4 +4 m = 13 -2 9 = x -8 y = -14

12. Solve. 1) -4 + x = 15 2) 7 = x + 13 3) -10 = 6 + x 4) - 4 = m + 9 5) 9 + 7 = x 6) y = 8 - 13 +4 x = 19 -13 -6 = x -6 -16 = x -9 -13 = m 16 = x y = -5

13. Solve. 1) 5x = 35 2) 3) 9 = -3m 4) 5 x = 7 (-6) -72 = x -3 -3 = m

14. Solving Equations Involving Fractions Long WayShort Way Easier to multiply by the reciprocal!

15. Solve. 1) 7x = 16 2) 3) 9 = -m 4) 7 (-2) k = 16 (-1)9 = -m(-1) -9 = m (-4)

16. Solve. 1) 2) 3) 4)

17. Acceptable Answers -4k = 14 -4 There is nothing improper about an improper fraction! All answers must be fully reduced!