1. Solving Multi-Step Equations Section 2-3 Part 2

2. Goals Goal To solve multi-step equations in one variable. Rubric Level 1 – Know the goals. Level 2 – Fully understand the goals. Level 3 – Use the goals to solve simple problems. Level 4 – Use the goals to solve more advanced problems. Level 5 – Adapts and applies the goals to different and more complex problems.

3. Vocabulary None

4. Two Special Techniques Two Special Techniques for Solving Multi-Step Equations. 1.Clear the equation of fractions by multiplying both sides of the equation by the LCD of all denominators in the equation. 2.Simplify equations with decimal coefficients by multiplying both sides of the equation by a factor 10 (usually 10 or 100) to make all the coefficients whole numbers.

5. Solve. Multiply both sides by 24, the LCD of the fractions. Distribute 24 on the left side. Multiply by the LCD to clear the fractions. 3y – 18 = 14 +18 Simplify. Since 18 is subtracted from 3y, add 18 to both sides to undo the subtraction. 3y = 32 Example: Clear Fractions Using the LCD

6. 3 Since y is multiplied by 3, divide both sides by 3 to undo the multiplication. 3y = 32 Example: Continued 3y = 32

7. Solve: Example: Clear Fractions Using the LCD

8. Solve. Multiply by the LCD to clear the fractions. Multiply both sides by 12, the LCD of the fractions. 8r + 9 = 7 –9 8r = –2 Distribute 12 on the left side. Simplify. Since 9 is added to 8r, subtract 9 from both sides to undo the addition. Your Turn:

9. 8r = –2 8 Since r is multiplied by 8, divide both sides by 8 to undo the multiplication. Your Turn: Continued 8r = –2

10. Your Turn: 1. 2.

11. Your Turn: 3. 4.

12. Solve 1.5 = 1.2y – 5.7. First y is multiplied by 12. Then 57 is subtracted. Work backward: Add 57 to both sides. 15 = 12y – 57 + 57 72 = 12y Since y is multiplied by 12, divide both sides by 12 to undo the multiplication. 72 = 12y 12 6 = y Multiply by a factor of 10 to clear the decimals. (10)1.5 = (10)1.2y – (10)5.7 Multiply both sides by 10, to make the decimals whole numbers. Example: Simplifying Decimal Coefficients

13. Solve:.. Example: Simplifying Decimal Coefficients

14. Solve: Your Turn:

15. 1. 2.

16. Joke Time What is a forum? Two-um plus two-um! Why did Mickey Mouse go to space? To visit Pluto. Knock Knock? Who’s There? Armageddon! Armageddon who? Armageddon out of this place!

17. Assignment 2.3 Pt 2 Exercises Pg. 107 – 108: #8 – 36 even