The document provides examples of solving two-step algebraic equations using multiplication, division, addition and subtraction. It includes 16 examples of equations with steps shown to solve for the variable. The examples cover a variety of equation types including multiplication with subtraction/addition, division with addition, the distributive property, and combining like terms.

1. Section 10.2 Solving Two-Step Equations

2. Algebraic Equations Multiplication with Subtraction 2x = 10 2x = 10 2 2 x = 5

3. Algebraic Equations Multiplication with Subtraction x – 4 = 8 +4 +4 x = 12

4. Algebraic Equations Multiplication with Subtraction x 4 = 10 (4) (4) x = 40

5. Algebraic Equations Multiplication with Addition x = 6 x = 18/2 = 9 (HINT) Reciprocal 2 3 3 2 3 2

6. Algebraic Equations Multiplication with Subtraction 2x – 4 = 8 +4 +4 2x = 12 2 2 x = 6

7. Algebraic Equations Multiplication with Addition 5x + 10 = 80 -10 -10 5x = 70 5 5 x = 14

8. Algebraic Equations Multiplication with Subtraction -3x – 4 = -82 +4 +4 -3x = -78 -3 -3 x = 26

9. Algebraic Equations Multiplication with Addition 2/3x + 2 = 8 -2 -2 x = 6 x = 18/2 = 9 (HINT) Reciprocal 2 3 3 2 3 2

10. Algebraic Equations Division with Addition x/5 + 2 = 8 -2 -2 = 6 x = 30 x 5 (5) (5)

11. Algebraic Equations Division with Addition = 7 X + 10 = 28 X + 10 4 (4) (4)

12. Algebraic Equations Division with Addition = 6 X - 13 = 30 x - 13 5 (5) (5)

13. Algebraic Equations C.L.T. -20 -20 10x = 60 10 4x +6x + 20 = 80 10x + 20 = 80 10 x = 6 ( )

14. 12 12 +12 +12 X = 5 7x + 5x - 12 = 48 12x - 12 = 48 12x = 60 Algebraic Equations Distributive Property

15. Algebraic Equations C.L.T. -12 -12 5x = 80 5 3x + 2x + 20 - 8 = 92 5x + 12 = 92 5 x = 16 ( ) ( )

16. THE END Homework: Page 476 # 14 – 44 Even