Tuesday, September 3 rd Please complete the warm up

Tuesday, September 3rd

Please complete the warm up

1. Solve: 4x + 6 = 25

2. Solve:

25432

x

Week at a GlanceTuesday: Solving Multi Step

Equations Wednesday: solving Inequalities Thursday: Review Friday: Quiz

Joke of the Day

What do we know?Standup= AGREE

Sit Down= DISAGREE

1. If I see subtraction I should subtract from both sides

2. I would find the LCD to be 6

3. 4=6y; inverse operation is division

4. (-) • (-) will be Negative

5. Mrs. Evans is from Minnesota

1 53 6

What is My Goal in Solving Equations?!

X=

2 + x =4

Solving equations is all about being EQUAL on both

sides of your equation.

You can think of your equation as a scale!

2 + x = 4

Golden Rule of Algebra

“I will Do unto one side of the equation what I do to the other”

Follow this rule

everytime!

Inverse Operations Pair #1Subtraction and Addition

You can “undo” SUBTRACTION with ADDITION

You can ‘undo” ADDITION with SUBTRACTION

Think: Opposites Attract

Solving with + & - Fractions!

You always have to have the same

DENOMINATOR

Only add or substract

NUMERATOR

Examples:1.

2.

3.

1 32b

2 43

m

5 19 3

g

You can “undo” Multiplication with Division

You can ‘undo” Division with Multiplication

Think: Opposites Attract

Inverse Operations Pair #2Multiplication and Division

Why it works! 2x = 12

If I divide it by 2 that equals 2

2x 22x 1x x

VI. I Spy

I SEE…. I USE…Addition SubtractionSubtraction AdditionMultiplication

Division

Division Multiplication

Dividing FractionsJust Watch!

Answer:?9

85

c

ALWAYS FLIP COEFFICIENT

When you divide by a fraction you really multiply by the

reciprocal

Ex: 3=1/3

4/5=5/4

Using Division1. 10x=12

2.

3.

3 64s

2 43

m

Using Multiplication

1. -6 = m ÷ (-3)

2.

3. -4 ÷ g =

54b

35

Multi-Step

Operations Done to the variable

o Add 6

o Multiply (-3)

Inverse Operations

o Subtract 6 from both sides

o Divide both sides by -3

10=6-3x

BACKWARDS

Let’s get started!!!1. 9=5r-1

2. -4x + 6 = 8

Steps: 1. Circle Variable2. Determine what

Operations are being done to the variable

3. Determine what the inverse operations are

*“undo” from the farthest to the closest

4. Remember rules for PEMDAS and Fractions

BEEEEEEEE Careful!!!!!!

Positives and Negatives1. 15 + (-6b) = -12

2. 25= 13 – (-5g)

Solve 8x – 21 + 5x = –158x – 21 – 5x = –15

8x – 5x – 21 = –153x – 21 = –15

Combine like terms.

Since 21 is subtracted from 3x, add 21 to both sides to undo the subtraction.+ 21 +21

3x = 6

x = 2

Since x is multiplied by 3, divide both sides by 3 to undo the multiplication.

You Try!!!Steps

1. Combining like terms

2. Identify the operations being done to the variable

3. Use Inverse operations in the right order

4. Remember PEMDAS & Fraction rules!

1. 2a + 3 – 8a = 8

2. 2y + 29 – 8y = 5

3. 4 = 10 + v - 17v

Distributive Property

Who’s going to the party?Who does he have to talk to?

-3(x-5)+7

Solve –2(3 – d) = 4–2(3 – d) = 4

(–2)(3) + (–2)(–d) = 4–6 + 2d = 4–6 + 2d = 4+ 6 + 6

2d = 10

d = 52 22d = 10

Just Watch

Please stop me if you have questions!

You Try!1. 4(x – 2) + 2x =

40

2. 12 = 8x – 4(x + 2)

3. -(x + 2) = 14

This is a lot of steps!

News Flash-(x+2)=12

•Who is going to the party? •(-1) Make sure you write it in!

Let’s try some more!1. 15 = 4x – 2(x + 9)

2. -(x – 3) = 16

3. 8x + 6 – 9x = 2 – x – 15