Steply

Algebra 2

64 lessons · 1322 problems solved step by step

  1. Functions · evaluate f(x) (20 problems)
  2. Is it a function? (20 problems)
  3. Solving f (20 problems)
  4. Combining functions (20 problems)
  5. Dividing functions f/g (21 problems)
  6. Average rate of change (21 problems)
  7. Composition and inverse functions (21 problems)
  8. Composition order · f(g(x)) and g(f(x)) (20 problems)
  9. Graphs of inverse functions (20 problems)
  10. Inverses of non-linear functions (22 problems)
  11. Dividing polynomials · long division, synthetic division (20 problems)
  12. Remainder and factor theorem (20 problems)
  13. Sequences · arithmetic and geometric (24 problems)
  14. Sequences from two terms (23 problems)
  15. Recursive sequences (22 problems)
  16. Sigma notation (21 problems)
  17. Series (21 problems)
  18. The binomial theorem · Pascal's triangle (20 problems)
  19. Quadratic sequences · the nth term from the second differences (20 problems)
  20. Exponential equations and logarithms (22 problems)
  21. Natural logarithms (23 problems)
  22. Exponential equations · power alone first (22 problems)
  23. Log equations with false answers (20 problems)
  24. Compound and continuous interest (20 problems)
  25. Half-life and time with logs (20 problems)
  26. Graphs of logarithms · domain, asymptote, points (20 problems)
  27. Log properties with letters · expand and condense (20 problems)
  28. Savings plans (20 problems)
  29. Loan payments (20 problems)
  30. Domain and range (23 problems)
  31. Domain and range · x² at the bottom, range of 1/x (21 problems)
  32. Graph transformations (22 problems)
  33. Graph reflections (20 problems)
  34. Other parent graphs · √x, x³, 1/x (20 problems)
  35. Graph stretches · a fraction in front, stretched √x (21 problems)
  36. Vertex form by completing the square (20 problems)
  37. Rational expressions · simplify, multiply, divide (21 problems)
  38. Adding and subtracting rational expressions (20 problems)
  39. Complex fractions (21 problems)
  40. x and a bracket at the bottom (20 problems)
  41. Rational equations (20 problems)
  42. Rational inequalities · sign table (20 problems)
  43. Square root equations (21 problems)
  44. Complex numbers (22 problems)
  45. Dividing complex numbers (21 problems)
  46. Equations in quadratic form · u = x², x³ or √x (20 problems)
  47. Quadratic inequalities · sign table (22 problems)
  48. Matrices · size, one entry, + −, times a number (22 problems)
  49. Multiplying matrices · row times column, AB ≠ BA (20 problems)
  50. Determinants · 2 × 2 and 3 × 3 (20 problems)
  51. Inverse of a 2 × 2 matrix (20 problems)
  52. Inverse of a 3 × 3 matrix (20 problems)
  53. Systems with the inverse matrix (20 problems)
  54. Cramer's rule · two equations with determinants (20 problems)
  55. Cramer's rule with three equations (20 problems)
  56. Augmented matrices · row operations (20 problems)
  57. Gaussian elimination · row-echelon form, back substitution (20 problems)
  58. Nonlinear systems · a circle or a parabola and a line (20 problems)
  59. Piecewise functions (21 problems)
  60. Polynomial graphs · end behavior, zeros and multiplicity, sketch (20 problems)
  61. Rational functions · asymptotes, holes, graphs (20 problems)
  62. Slant asymptotes of rational functions (20 problems)
  63. Finding all zeros · rational root theorem (21 problems)
  64. Writing polynomials from zeros (20 problems)