Tuesday, September 3 rd Please complete the warm up
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Tuesday, September 3rd
Please complete the warm up
1. Solve: 4x + 6 = 25
2. Solve:
25432
x
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Week at a GlanceTuesday: Solving Multi Step
Equations Wednesday: solving Inequalities Thursday: Review Friday: Quiz
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Joke of the Day
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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
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What is My Goal in Solving Equations?!
X=
2 + x =4
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Solving equations is all about being EQUAL on both
sides of your equation.
You can think of your equation as a scale!
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2 + x = 4
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Golden Rule of Algebra
“I will Do unto one side of the equation what I do to the other”
Follow this rule
everytime!
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Inverse Operations Pair #1Subtraction and Addition
You can “undo” SUBTRACTION with ADDITION
You can ‘undo” ADDITION with SUBTRACTION
Think: Opposites Attract
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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
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You can “undo” Multiplication with Division
You can ‘undo” Division with Multiplication
Think: Opposites Attract
Inverse Operations Pair #2Multiplication and Division
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Why it works! 2x = 12
If I divide it by 2 that equals 2
2x 22x 1x x
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VI. I Spy
I SEE…. I USE…Addition SubtractionSubtraction AdditionMultiplication
Division
Division Multiplication
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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
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Using Division1. 10x=12
2.
3.
3 64s
2 43
m
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Using Multiplication
1. -6 = m ÷ (-3)
2.
3. -4 ÷ g =
54b
35
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Multi-Step
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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
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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!!!!!!
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Positives and Negatives1. 15 + (-6b) = -12
2. 25= 13 – (-5g)
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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.
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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
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Distributive Property
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Who’s going to the party?Who does he have to talk to?
-3(x-5)+7
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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!
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You Try!1. 4(x – 2) + 2x =
40
2. 12 = 8x – 4(x + 2)
3. -(x + 2) = 14
This is a lot of steps!
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News Flash-(x+2)=12
•Who is going to the party? •(-1) Make sure you write it in!
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Let’s try some more!1. 15 = 4x – 2(x + 9)
2. -(x – 3) = 16
3. 8x + 6 – 9x = 2 – x – 15