1 / 23

1/25/15 Final Review Day 1

1/25/15 Final Review Day 1. Algebra II. Learning Objective. To remember everything in 1 st Semetser !. Evaluate. 1. x = -10 y = 2. 2. Number Sets. Real #s – not imaginary Rational #s – can be written as a fraction , Irrational #s – cannot be written as a fraction

jamesbrobinson
Download Presentation

1/25/15 Final Review Day 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 1/25/15 Final Review Day 1 Algebra II

  2. Learning Objective • To remember everything in 1stSemetser!

  3. Evaluate 1. x = -10 y = 2

  4. 2. Number Sets Real #s – not imaginary Rational #s – can be written as a fraction , Irrational #s – cannot be written as a fraction Integer = ….-2, -1, 0, 1, 2, … Whole # = 0, 1, 2, 3… Natural # = 1, 2, 3…

  5. Solve 3. -1 + 3(3x + 7) = 32 + 7x -1 + 9x + 21 = 32 + 7x 9x + 20 = 32 + 7x 2x = 12 x = 6

  6. Solve 4. -2x + 9 = 21 or -2x + 9 = -21 -2x = 12 -2x = -30 x = -6 x = 15

  7. Solve 5. or 6. Or or or

  8. Solve 7. Less thAND -10x – 8 < 38 And -10x – 8 > -38 -10x < 46 And -10x > -30 x > And x < 3 x > And x < 3 Or

  9. Solve 8. GreatOR Or Or Or Or

  10. Solve & Graph 9. -88 < 6x + 4(x – 7) -88 < 6x + 4x – 28 -88 < 10x – 28 -60 < 10x -6 < x x > -6

  11. Find Domain & Is it a Function? 10. {(-3, 4), (2, 4), (0, 1)} Domain: -3, 0, 2 Is a function {(-1, 2), (3, -2), (-1, 0)} Domain: -1, 3 Is NOT a function, x = -1 repeats

  12. Evaluate 11. -2

  13. Write in Standard Form 12. Standard Form Ax + By = C A = positive No Fractions! 4y – x = 3 Multiply everything by -1!! x – 4y = -3

  14. Write in Standard Form 13. Multiply everything by 3! 2x – 15 = 12y 2x = 12y + 15 2x – 12y = 15

  15. Find slope & x & y - intercepts 14. Slope Slope = x-intercept (y = 0) -3x + 4(0) = 48 -3x = 48 x = -16 (-16, 0) y-intercept (x = 0) -3(0) + 4y = 48 4y = 48 y = 12 (0, 12)

  16. Find slope 15. (-4, -11) & (-4, 14) = undefined (-14, 7) & (6, -18) (10, -17) & (13, -17) = 0

  17. Write an equation of a line 16. Passes through (0, -2) and is perpendicular to y = 3x – 5 Perpendicular slope = Point Slope Form Slope-Intercept Form

  18. Write an equation of a line 17. Passes through (4, -3) and is parallel to Parallel slope = Point Slope Form Slope-Intercept Form

  19. Solve 18. (5)( ) (5) 0 = 6 No Solutions! Parallel Lines!

  20. Solve (-2)( ) (-2) 19. 0 = 0 Infinite Solutions! Same Line!

  21. Solve 20. (2)( ) (2) 15y = 45 y = 3 3x + 8(3) = 9 3x + 24 = 9 3x = -15 x = -5 (-5, 3) One Solution!

  22. Solve by Substitution 21. 5(7y + 11) + 4y = - 23 35y + 55 + 4y = - 23 39y = - 78 y = -2 x – 7(-2) = 11 x + 14 = 11 x = -3 Now plug y = -2 into either equation to solve for x. (-3, -2)

  23. Assignment:Final Review Packet

More Related