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Unit 4: Linear Equations In-Depth

Unit 4: Linear Equations In-Depth. 4.1 Using m & b to graph equations. Write down this problem on your COMMUNICATOR Be prepared to share your work with the class. Are these two the same? Defend your claim. y = 7x + 8 10y = 70x + 80. Page 40 of your INB. i -can.

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Unit 4: Linear Equations In-Depth

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  1. Unit 4: Linear Equations In-Depth 4.1 Using m & b to graph equations

  2. Write down this problem on your COMMUNICATOR Be prepared to share your work with the class. Are these two the same? Defend your claim. y = 7x + 8 10y = 70x + 80 Page 40 of your INB i-can write 2x+3y =2(4x-6) in slope-intercept form

  3. ITEMS of BUSINESS • Nothing.

  4. Have your homework out on your desk.

  5. RE- People with 100%, try this honors question: What is the slope and y-intercept of x = 7? Also, graph x = 7 answer: slope is undefined & the y-intercept does not exist

  6. Get into your 4-Square Groups i-can write in slope-intercept form Page 40-41 of your INB

  7. Slope-intercept form b m Y = X +

  8. Today’s i-can involves SKILL. What kind of SKILL? SOLVING EQUATION SKILLZ? GOT SKILLZ?

  9. How to solve (for y) like a rockstar Step 1: Simplify Write this down on your foldable.

  10. Question. . . simplify What does mean? Easy. It means make fewer things for your eyeballs to look at. Or fewer things for your brain to have to focus on. simplified! Example: 1 + 2 + 3 + 4 or 10 Which is easier to look at or to focus on?

  11. simplify In math, means . . . combine like terms. Add this to your foldable, step 1. and follow along. y = 8x – 2x + 10 +x - 12 Example:

  12. on your homework problems . . . COMBINE LIKE TERMS.

  13. on your homework problems . . . COMBINE LIKE TERMS.

  14. So is that all there is to ? simplifying All you gotta do is ? combine like terms Well no. There’s more. There’s actually a step that comes before combining like terms . . . . distribute. Add this to your foldable, step 1.

  15. Do you recall what it means to ? distribute It means multiply (or divide) everything INSIDE the group by what’s OUTSIDE the group. Example: y = -3(2x – 4)

  16. How to solve (for y) like a rockstar Step 1: Simplify - distribute - combine like terms

  17. on your homework problems . . . DISTRIBUTE, then COMBINE LIKE TERMS.

  18. on your homework problems . . . COMBINE LIKE TERMS.

  19. How to solve (for y) like a rockstar Step 1: Simplify - distribute - combine like terms Step 2: ISOLATE the “y” term. Write this down on your foldable.

  20. Step 2: ISOLATE the y term. That’s right! ALONE. ALONE means ALONE. No friends on the same side of the fence. None. Zippo. Nada. Zilch. Follow along in your foldable. Examples: y – 3x = 19 y + 2x = 3x - 10

  21. on your homework problems . . . DISTRIBUTE, COMBINE LIKE TERMS, ISOLATE Y TERM

  22. on your homework problems . . . COMBINE LIKE TERMS.

  23. How to solve (for y) like a rockstar Step 1: Simplify - distribute - combine like terms Step 2: ISOLATE the y term. Step 3: Divide by the y coefficient. Write this down on your foldable.

  24. coefficient WHAT. Is a ? Simple. A COEFFICIENT is a number that is multiplied (or divided) by a variable. Example: 21y or - ½ y coefficient coefficient

  25. Step 3: Divide by the y coefficient. Follow along in your foldable. or 3y = 9x + 5 Examples: -6y = 18x - 36

  26. on your homework problems . . . DIVIDE BY THE Y COEFFICIENT

  27. on your homework problems . . . COMBINE LIKE TERMS.

  28. i-can write 2x + 3y = 2(4x – 6) in slope-intercept form #40 on homework

  29. on your homework problems . . .

  30. Worksheet 4.2 Change to y=mx+b then graph  SHOW YOUR WORK

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