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Tuesday, September 3 rd Please complete the warm up 

Tuesday, September 3 rd Please complete the warm up . Solve: 4x + 6 = 25 Solve:. Week at a Glance. Tuesday: Solving Multi Step Equations Wednesday: solving Inequalities Thursday: Review Friday: Quiz . Joke of the Day. What do we know?. Standup = AGREE Sit Down= DISAGREE.

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Tuesday, September 3 rd Please complete the warm up 

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  1. Tuesday, September 3rd Please complete the warm up  Solve: 4x + 6 = 25 Solve:

  2. Week at a Glance Tuesday: Solving Multi Step Equations Wednesday: solving Inequalities Thursday: Review Friday: Quiz

  3. Joke of the Day

  4. What do we know? Standup= AGREE Sit Down= DISAGREE • If I see subtraction I should subtract from both sides • I would find the LCD to be 6 • 4=6y; inverse operation is division • (-) • (-) will be Negative • Mrs. Evans is from Minnesota

  5. What is My Goal in Solving Equations?! x= 2 + x =4

  6. Solving equations is all about being EQUAL on both sides of your equation. You can think of your equation as a scale!

  7. 2 + x = 4

  8. Golden Rule of Algebra “I will Do unto one side of the equation what I do to the other” Follow this rule everytime!

  9. Inverse Operations Pair #1Subtraction and Addition • You can “undo” SUBTRACTION with ADDITION • You can ‘undo” ADDITION with SUBTRACTION Think: Opposites Attract

  10. Solving with + & - Fractions! You always have to have the same DENOMINATOR Only add or substractNUMERATOR Examples: 1. 2. 3.

  11. Inverse Operations Pair #2Multiplication and Division • You can “undo” Multiplication with Division • You can ‘undo” Division with Multiplication Think: Opposites Attract 

  12. Why it works! 2x = 12 If I divide it by 2 that equals

  13. VI. I Spy

  14. Dividing Fractions Just Watch! Answer:? When you divide by a fraction you really multiply by the reciprocal Ex: 3=1/3 4/5=5/4 ALWAYS FLIP COEFFICIENT

  15. Using Division • 10x=12

  16. Using Multiplication • -6 = m ÷ (-3) 2. 3. -4 ÷ g =

  17. Multi-Step

  18. Inverse Operations Operations Done to the variable Add 6 Multiply (-3) 10=6-3x • Subtract 6 from both sides • Divide both sides by -3 Backwards

  19. Let’s get started!!! • 9=5r-1 • -4x + 6 = 8 Steps: Circle Variable Determine what Operations are being done to the variable Determine what the inverse operations are *“undo” from the farthest to the closest Remember rules for PEMDAS and Fractions BEEEEEEEE Careful!!!!!!

  20. Positives and Negatives 1. 15 + (-6b) = -12 2. 25= 13 – (-5g)

  21. + 21 +21 Solve 8x – 21 + 5x = –15 8x – 21 – 5x = –15 Combine like terms. 8x – 5x – 21 = –15 3x– 21 = –15 Since 21 is subtracted from 3x, add 21 to both sides to undo the subtraction. 3x = 6 Since x is multiplied by 3, divide both sides by 3 to undo the multiplication. x = 2

  22. You Try!!! Steps • Combining like terms • Identify the operations being done to the variable • Use Inverse operations in the right order • Remember PEMDAS & Fraction rules! • 2a+ 3 – 8a = 8 • 2y + 29 – 8y = 5 • 4 = 10 + v - 17v

  23. Distributive Property

  24. Who’s going to the party?Who does he have to talk to? -3(x-5)+7

  25. + 6 + 6 2d = 10 2 2 Just Watch Solve –2(3 – d) = 4 –2(3 – d) = 4 Please stop me if you have questions! (–2)(3) + (–2)(–d) = 4 –6 + 2d = 4 –6 + 2d = 4 2d = 10 d = 5

  26. You Try! • 4(x – 2) + 2x = 40 • 12 = 8x – 4(x + 2) • -(x + 2) = 14 This is a lot of steps!

  27. News Flash • -(x+2)=12 • Who is going to the party? • (-1) Make sure you write it in!

  28. Let’s try some more! • 15 = 4x – 2(x + 9) • -(x – 3) = 16 • 8x + 6 – 9x = 2 – x – 15

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