EOC Practice

Home-Learning Assignment #4: Review

Questions / Main Ideas / Vocabulary Notes / Answers / Definitions / Examples / Problems Topic: To solve two-step equation in one variable Name: Date: Chapter #, Section #: 2 – 2Period: Essential Question: Essential Question: What properties would best help me find the solution to two-step equations? The equation is like a balance scale. Whatever you do to one side of the equation must be done to the other side of the equation. When solving an equation, the goal is to get the variable by itself.When solving an equation, the goal is to get the variable by itself. Addition and Subtraction are inverse operations. (opposites)Addition and Subtraction are inverse operations. (opposites) Multiplication and Division are inverse operations. (opposites)Multiplication and Division are inverse operations. (opposites) Rules to Remember: Don’t Forget:

Examples of Two-Step Equations a)3x – 5 = 16 b) + 3 = 12 c)5n + 4 = 6 d) – 6 = 4

Steps for Solving Two-Step Equations 1.Solve for any Addition or Subtraction on the variable side of equation by “undoing” the operation from both sides of the equation. 2.Solve any Multiplication or Division from variable side of equation by “undoing” the operation from both sides of the equation.

Helpful Hints? Identify what operations are on the variable side. (Add, Sub, Mult, Div) Identify what operations are on the variable side. (Add, Sub, Mult, Div) “Undo” the operation by using opposite operations. “Undo” the operation by using opposite operations. Whatever you do to one side, you must do to the other side to keep equation balanced. Whatever you do to one side, you must do to the other side to keep equation balanced.

Ex. 1: Solve 4x – 5 = 11

Ex. #2: Solve 28 = 12b + 4

Try These Examples 1.2x – 5 = = 3y (-x + 5) = 68

Ex. 3: Solve x/3 + 4 = 9

Ex. 4: Solve 7 = d/9 + 4

Try these examples! 1.x/5 – 3 = = c/ r/3 – 6 = 2

m + 8 = -4 Ex. 5: Solve

-17 = 3 + x Try these examples! -12 = - x

Quick Review: x – (- 3) = 5x – (- 3) = 5 x – 5 = - 8x – 5 = x = 24-2x = = x – = x – 7

Wrap-Up: SummarySummary Home-Learning Assignment #5:Home-Learning Assignment #5: Page 91 – 93 ( 1, 2, 3, 4, 12, 14, 16, 29, 38, 51)

EOC Practice

Review HLA#5:

Quiz #2

Questions / Main Ideas / Vocabulary Notes / Answers / Definitions / Examples / Problems Topic: To solve multi-step equation in one variable Name: Date: Chapter #, Section #: 2 – 3Period: Essential Question: Essential Question: Which properties would best help me find the solution to multi-step equations? Don’t Forget: What if you have like terms on the same side of the equation??? 15 = 2n – 3 – 4n -2(n – 3) + 5n = 36

What about this type of equation? You are the host - a.k.a. ‘X’ In what order do people leave a party? – –Enemies (get rid of them to avoid trouble) – –Acquaintances (after mingling with everyone, they usually leave early) – –Friends (they hang out with the host a little longer) – –Family (if attending, they will stay to the end to help clean) With Multi-Step Equations it can be hard to know where to start…. pretend it’s a party!

Identify all the Party-goers ACQUAINTANCE FRIEND FAMILY HOST The Door!

12 7x + 5x - 12 = 48 12x - 12 = x = 60 x = 5 7x + 5x – 12 = 48

-20 10x = x +6x + 20 = 80 10x + 20 = x = 6 4x +6x + 20 = 80

Your Turn: 1. 8x x – 2 = x x – 2 = x + 3x – x + 9 = = 5x x

m ∠ 1 = 30 and m ∠ 2 = 4x. What is the value of x? What is the value of x? 37 = 3(2x – 4) + 5(x + 1) #1 #2 Challenge:

Independent Practice: My Score Sheet Round 1Round 2Round 3Round 4Round 5 Equation Solution Points

Wrap-Up: SummarySummary Home-Learning Assignment #6:Home-Learning Assignment #6: Page 97 – 100 ( 2, 4, 18, 24, 70)