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

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

3. Solving Two-Step Equations
Lesson 2-2
Solving Two-Step Equations
Notes
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
(Step 1)
8 = m/ (Step 2)
32 = m
(x4)
(x4)

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

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

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

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

8. Solving Multi-Step Equations
Lesson 2-3
Notes
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 = x – 4x + 6 = -2
-2y y = (b – 4) = 12
3(k + 8) = = -3(x – 1) + 9

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

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

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

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

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

14. Equations with Variables on Both Sides
Lesson 2-4
Notes
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 – (Goal is to have the variable on one side of the equation)
– 6x – 6x
3 = 2x – (Solve just like 2 step equations)
24 = 2x
÷ ÷2
12 = x or x = 12
Try these… 2(c – 6) = 9c k – 4 = 5k + 16
c = k = 10

15. Equations with Variables on Both Sides
Lesson 2-4
Notes
w = -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 a
10 = This is always true… Identity
6m – 5 = 7m + 7 – m
6m – 5 = 6m + 7
-6m m
-5 = Not true… No Solutions

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

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

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

19. Equations & Problem Solving
Lesson 2-5
Solving Equations with Fractions
Solving Equations with Decimals ¼
/ / / /7
11. 1/2a + 8 = 24; 32 yrs /4n – 5 = 2n; -4
or or or 104
n – 0.08n = 1.38; 1.5
11. n n = 0.675; 0.5

20. Equations & Problem Solving
Lesson 2-5
Notes

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

22. Formulas
Lesson 2-6
Practice 2-5

23. Lesson 2-6 Notes Formulas
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)

24. Formulas & Measures of Central Tendency
Lesson 2-6 & 2-7
Notes
y – 4 = 5x 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 , 4.2, 5.3, x; mean 4.8
Homework Practice 2-6 & 2-7 every 3rd problem

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

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

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

28. Using Measures of Central Tendency
Lesson 2-7
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