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1/25/15 Final Review Day 1

Reviewing Algebra II concepts from 1st semester, including number sets, solving equations, graphing lines, and understanding functions.

jamesbrobinson
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1/25/15 Final Review Day 1

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  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

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