EOC PracticeEOC Practice10.

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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 – 2 Period:

Essential QuestionEssential Question: : What properties would best help me find the solution to two-step equations?

The equation is like a balance scale. The equation is like a balance scale. Whatever you do to one side of the Whatever you do to one side of the

equation must be done to the other side of equation must be done to the other side of the equation.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 Rules to Remember:Remember:

Don’t Forget:Don’t Forget:

Examples of Two-Step Examples of Two-Step EquationsEquations

a)a) 3x – 5 = 163x – 5 = 16

b)b) + 3 = 12+ 3 = 12

c)c) 5n + 4 = 65n + 4 = 6

d)d) – – 6 = 46 = 4

Steps for Solving Steps for Solving Two-Step EquationsTwo-Step Equations

1.1. Solve for any Addition or Subtraction Solve for any Addition or Subtraction on the variable side of equation by on the variable side of equation by “undoing” the operation from both “undoing” the operation from both sides of the equation.sides of the equation.

2.2. Solve any Multiplication or Division Solve any Multiplication or Division from variable side of equation by from variable side of equation by “undoing” the operation from both “undoing” the operation from both sides of the equation.sides of the equation.

Helpful Hints?Helpful Hints?

Identify what operations are Identify what operations are on the variable side. (Add, on the variable side. (Add, Sub, Mult, Div)Sub, Mult, Div)

““Undo” the operation by using Undo” the operation by using opposite operations.opposite operations.

Whatever you do to one side, Whatever you do to one side, you must do to the other side you must do to the other side to keep equation balanced.to keep equation balanced.

Ex. 1: Solve Ex. 1: Solve 4x – 5 = 114x – 5 = 11

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

Try These ExamplesTry These Examples

1.1. 2x – 5 = 172x – 5 = 17

2.2. 25 = 3y + 7 25 = 3y + 7

3.3. 4(-x + 5) = 684(-x + 5) = 68

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

Ex. 4: Solve Ex. 4: Solve 7 = d/9 + 47 = d/9 + 4

Try these examples!Try these examples!

1.1. x/5 – 3 = 8x/5 – 3 = 8

2.2. 9 = c/7 + 4 9 = c/7 + 4

3.3. r/3 – 6 = 2r/3 – 6 = 2

76

m +m + 8 8 = - = -4 4

Ex. 5: SolveEx. 5: Solve

-17 = 3 + -17 = 3 + xx 21

Try these examples!Try these examples!

-12 = - -12 = - xx + 6 + 6 43

1.1.

2.2.

Quick Review: Quick Review:

• x – (- 3) = 5x – (- 3) = 5

• x – 5 = - 8x – 5 = - 8

• -2x = 24-2x = 24

• - 11 = x – 7 - 11 = x – 7

Wrap-Up: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 PracticeEOC Practice

14.

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Review HLA#5: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 – 3 Period:

Essential QuestionEssential Question: : Which properties would best help me find the solution to multi-step equations?

Don’t Forget:Don’t Forget:

What if you have like terms

on the same side of the

equation???

15 = 215 = 2nn – – 33 – 4– 4nn

-2(-2(nn – 3) + 5 – 3) + 5n n = 36= 36

What about this type of equation?

73

52

xYou 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

73

52

x

ACQUAINTANCACQUAINTANC

EE

FRIENDFRIENDFAMILYFAMILY HOST

HOST

The The Door!Door!

73

52

x

12 12

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

+12+12

12x=

60

x = 5

7x + 5x – 12 = 48

-20-20

10x=

6010

4x +6x + 20 = 80

10x + 20 = 80

10

x = 6

4x +6x + 20 = 80

Your Turn:1. 8x + 6 + 3x – 2 = 37

2. 9x + 5 + 4x – 2 = 42

3. 6x + 3x – x + 9 = 33

63

2

x

6)23

(3 x

5.

6.

4. 29 = 5x + 21 + 3x

m 1 = 30 and m 2 = ∠ ∠m 1 = 30 and m 2 = ∠ ∠44xx..

What is the value of What is the value of xx??

37 = 3(237 = 3(2xx – 4) + 5( – 4) + 5(xx + 1) + 1)

#1#1

#2#2

Challenge:Challenge:

Independent Practice:Independent Practice:

My ScoreSheet

Round 1 Round 2 Round 3 Round 4 Round 5

Equation

Solution

Points

Wrap-Up:Wrap-Up:

• SummarySummary

• Home-Learning Assignment #6: Home-Learning Assignment #6: Page 97 – 100

( 2, 4, 18, 24, 70)