002 review of algebra

359 views

Published on

Published in: Technology, Education
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
359
On SlideShare
0
From Embeds
0
Number of Embeds
55
Actions
Shares
0
Downloads
0
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

002 review of algebra

  1. 1. Review of Basic Algebra:<br /><ul><li>The denominator of a fraction can never equal to zero.
  2. 2. 04 is zero, but 40 is undefined
  3. 3. The reciprocal of a number or expression is its multiplicative inverse.
  4. 4. The reciprocal of 43 is 34
  5. 5. The reciprocal of 6 is 16
  6. 6. The reciprocal of x+1 is 1x+1
  7. 7. Multiply fractions
  8. 8. 23 x 52=106 = 53
  9. 9. Dividing fractions
  10. 10. 23 ÷ 52
  11. 11. =23 x 25=415
  12. 12. Adding fractions
  13. 13. 23+ 53=2 + 53=73
  14. 14. 25+ 58=16 + 2540=4140
  15. 15.
  16. 16. Subtracting fractions
  17. 17. Subtracting fractions works like adding fractions except that instead of adding you subtract.
  18. 18. Substitution
  19. 19. An algebraic expression or just expression is something like xyz or a3p2q-6, basically without equal sign (if it has an equal sign, it is an equation).
  20. 20. If we substitute x = (a + b) to x2yz we will have (a+b)2yz
  21. 21. Canceling fractions
  22. 22. x5y2x3yz=x2yz
  23. 23. You can cancel fractions only when it has unbroken chain or multiplication through the entire numerator and the entire denominator.
  24. 24. a2b2xy-pq4(c+d)ab4z(xy-pq)3=axy-pq(c+d)b2z
  25. 25. Absolute Value
  26. 26. Absolute value just turns the negative number into a positive number and does nothing to a positive number or zero.
  27. 27. |-6| = 6
  28. 28. Powers</li></ul> xo= 1<br /><ul><li> x-3=1x3 </li></ul>x2∙x3=x5<br />x6x3=x3<br /> x32=x6<br /> xyz3=x3y3z3<br /> yx3=y3x3<br /><ul><li>Radicals
  29. 29. 3x2=x23
  30. 30.
  31. 31. Factoring
  32. 32. Difference of two squares: a2-b2=a+b(a-b)
  33. 33. Sum of two cubes: a3+b3=a+b(a2-ab+b2)
  34. 34. Difference of two cubes: a3-b3=a-b(a2+ab+b2)
  35. 35. Factoring a polynomial: x2+x-2=x+2(x-1)</li></ul>Seatwork: Simplify the following<br /><ul><li>8x2-11-5x+2x2+4
  36. 36. x-x3-x2+9(2x2-7x-8)
  37. 37. 1x-y+3x+yx2-y2
  38. 38. 4x-7-3x+7
  39. 39. 5x32-16-34-x</li></ul>Assignment: Simplify the following<br /><ul><li>2x-8x-y-3-(x+4y+3x]
  40. 40. 3x2-5x-2(x2-4x+3)
  41. 41. 4x-7+2x49-x2
  42. 42. 6x4-x-24+x
  43. 43. x-1 - 2x+2 x + 2 - 2x-1</li></ul>Reference: Calculus for Dummies by Mark Ryan © Wiley Pub., 2003<br />

×