~ Chapter 2 ~

1. Algebra I Algebra I Lesson 2-1 Solving One-Step Equations Lesson 2-2 Solving Two-Step Equations Lesson 2-3 Solving Multi-Step Equations Lesson 2-4 Equations with Variables on Both Sides Lesson 2-5 Equations & Problem Solving Lesson 2-6 Formulas Lesson 2-7 Using Measures of Central Tendency Chapter Review ~ Chapter 2 ~ Solving Equations

2. Lesson 2-1 n/6 = 5 x/-3 = 18 x6 x6 x (-3) x(-3) n = 30 x = -54 -a/5 = -20 -1/4m = 8 x(-5) x(-5) a = 100 m = -32 8/15 = 2/5a 4/3 = a 1 1/3 = a Solving One-Step Equations (-4/1) (-4/1) Notes (5/2) (5/2)

3. Lesson 2-2 • Steps for Solving Two-Step Equations • Use the Addition or Subtraction Property of Equality to get the term with a variable on one side of the equation. • (2) Use the Mulitplication or Division Property of Equality to write an equivalent equation in which the variable has a coefficient of 1. • 10 = m/4 + 2 • -2 -2 (Step 1) • 8 = m/4 (Step 2) • 32 = m Solving Two-Step Equations Notes (x4) (x4)

4. Lesson 2-2 7 = 2y – 3 6a + 2 = -8 x/9 – 15 = 12 Justify steps for solving equations – give reasons for each step… properties, rules, or definitions… Solving Two-Step Equations Notes

5. Lesson 2-2 Solving Two-Step Equations Practice 2-1 & Practice 2-2 Odd problems both pages Homework

6. Lesson 2-3 Solving Multi-Step Equations Practice 2-1

7. Lesson 2-3 Solving Multi-Step Equations Practice 2-2

8. Lesson 2-3 • Steps for Solving Multi-Step Equations • Clear the equation of fractions & decimals. • Use the distributive property if grouping symbols are present. • Combine Like Terms • Subtract or Add using the equality property to isolate the variable. • Divide or Multiply using the equality property to solve for the variable. • Examples… • 2c + c + 12 = 78 3x – 4x + 6 = -2 • -2y + 5 + 5y = 14 -2(b – 4) = 12 • 3(k + 8) = 21 15 = -3(x – 1) + 9 Solving Multi-Step Equations Notes

9. Lesson 2-3 Solving an Equation that Contains Fractions Method 1Method 2 2x/3 + x/2 = 7 2x/3 + x/2 = 7 2/3 x + ½ x = 7 6(2x/3 + x/2) = 6(7) 4/6 x + 3/6 x = 7 4x + 3x = 42 7/6 x = 7 7x = 42 (6/7) 7/6 x = 7 (6/7) ÷7 ÷7 x = 6 x = 6 m/4 + m/2 = 5/8 2/3 x – 5/8 x = 26 Solving Multi-Step Equations Notes

10. Lesson 2-3 Solving an Equation that Contains Decimals (Multiply using the equality property to remove the decimals) 0.5a + 8.75 = 13.25 Multiply both sides by????? 100(0.5a + 8.75) = 100 (13.25) 50a + 875 = 1325 50a = 450 a = 9 0.025x + 22.95 = 23.65 1.2x – 3.6 + 0.3x = 2.4 Solving Multi-Step Equations Notes

11. Lesson 2-3 Practice 2-3 #1-46 even Solving Multi-Step Equations Homework

12. Lesson 2-4 Equations with Variables on Both Sides Practice 2-3

13. Lesson 2-4 Equations with Variables on Both Sides Cumulative Review

14. Lesson 2-4 Use the Addition or Subtraction Properties of Equality to get the variables on one side of the equation. Examples 6x + 3 = 8x – 21 Subtract ? 6x + 3 = 8x – 21 (Goal is to have the variable on one side of the equation) – 6x – 6x 3 = 2x – 21 (Solve just like 2 step equations) +21 +21 24 = 2x ÷2 ÷2 12 = x or x = 12 Try these… 2(c – 6) = 9c + 2 7k – 4 = 5k + 16 c = -2 k = 10 Equations with Variables on Both Sides Notes

15. Lesson 2-4 -36 + 2w = -8w + w w = 4 An Identity is an equation that is true for every value of the variable. 6x = 6x is an identity. Identities and Equations with No Solutions 10 – 8a = 2(5 – 4a) 10 – 8a = 10 – 8a +8a +8a 10 = 10 This is always true… Identity 6m – 5 = 7m + 7 – m 6m – 5 = 6m + 7 -6m -6m -5 = 7 Not true… No Solutions Equations with Variables on Both Sides Notes

16. Lesson 2-4 Determine if the following is an identity or an equation with no solution… 14 – (2q + 5) = -2q + 9 a – 4a = 2a + 1 – 5a Identity No solutions Homework - Practice 2-4 #7-38 Equations with Variables on Both Sides Notes

17. Lesson 2-5 Equations & Problem Solving Practice 2-4

18. Lesson 2-5 Equations & Problem Solving Reteaching 2-3

19. Lesson 2-5 Solving Equations with Decimals 1. 42 2. 24 3. 90 4. 30 5. 8 ¼ 6. 78 7. 5 1/9 8. 11 1/9 9. -3/4 10. -14 2/7 11. 1/2a + 8 = 24; 32 yrs 12. 3/4n – 5 = 2n; -4 13. 0 14. 2 Equations & Problem Solving Solving Equations with Fractions 1. 100 or 102 2. 1000 or 1033. 10000 or 104 4. 0.3 5. 2.2 6. 4 7. -5.8 8. 179 9. 47.775 10. n – 0.08n = 1.38; 1.5 11. n + 0.35n = 0.675; 0.5

20. Lesson 2-5 Equations & Problem Solving Notes

21. Lesson 2-5 Equations & Problem Solving Notes Homework – Practice 2-5 even

22. Lesson 2-6 Formulas Practice 2-5

23. Lesson 2-6 Literal equation – an equation involving two or more variables. Examples – d = rt, P = 2w + 2l… Transforming Geometric Formulas Solve the formula for the area of a triangle for h. A = ½ bh Solve P = 2w + 2l for w… Solve volume of a cylinder for h… V = π r2h Transforming Equations y + 2x = 5 (solve for y) Formulas Notes

24. Lesson 2-6 & 2-7 y – 4 = 5x + 7 solve for x Transforming Equations Containing Only Variables m – hp = d (solve for p) y – b = x (solve for y) m (solve for m) Lesson 2-7 Using Measures of Central Tendency Mean, Median, Mode, Range, Stem & Leaf Plot Solving an Equation 99, 86, 76, 95, x; mean 91 3.8, 4.2, 5.3, x; mean 4.8 Homework Practice 2-6 & 2-7 every 3rd problem Formulas & Measures of Central Tendency Notes

25. Lesson 2-7 Using Measures of Central Tendency Practice 2-6

26. Lesson 2-7 Using Measures of Central Tendency Practice 2-6 continued

27. Lesson 2-7 Using Measures of Central Tendency Practice 2-7

28. Lesson 2-7 Using Measures of Central Tendency Practice 2-7

29. Algebra I Algebra I ~ Chapter 2 ~ Chapter Review

30. Algebra I Algebra I ~ Chapter 2 ~ Chapter Review

31. Algebra I Algebra I ~ Chapter 2 ~ Chapter Review

32. Algebra I Algebra I ~ Chapter 2 ~ Chapter Review