Functions and equations

Here is a list of all of the skills that cover functions and equations! These skills are organized by grade, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

Here is a list of all of the skills that cover functions and equations! To start practising, just click on any link.

Grade 9 skills

  1. K.4 Rate of travel: word problems
  2. K.5 Weighted averages: word problems
  3. M.4 Write variable equations
  4. M.5 Does x satisfy the equation?
  5. M.6 Solve equations using order of operations
  6. N.1 Model and solve equations using algebra tiles
  7. N.2 Write and solve equations that represent diagrams
  8. N.3 Solve one-step linear equations
  9. N.4 Solve two-step linear equations
  10. N.5 Solve advanced linear equations
  11. N.6 Solve equations with variables on both sides
  12. N.7 Solve equations: complete the solution
  13. N.8 Find the number of solutions
  14. N.10 Solve linear equations: word problems
  15. N.11 Solve linear equations: mixed review
  16. P.7 Scatter plots: line of best fit
  17. Q.1 Relations: convert between tables, graphs, mappings and lists of points
  18. Q.2 Identify independent and dependent variables
  19. Q.3 Identify functions
  20. Q.4 Identify functions: vertical line test
  21. Q.5 Find values using function graphs
  22. Q.6 Evaluate a function
  23. Q.7 Evaluate a function: plug in an expression
  24. Q.8 Complete a function table from a graph
  25. Q.9 Complete a function table from an equation
  26. Q.10 Interpret the graph of a function: word problems
  27. R.1 Identify proportional relationships
  28. R.2 Find the constant of variation
  29. R.3 Graph a proportional relationship
  30. R.4 Write direct variation equations
  31. R.5 Write and solve direct variation equations
  32. S.1 Identify linear functions
  33. S.2 Find the slope of a graph
  34. S.3 Find the slope from two points
  35. S.5 Slope-intercept form: find the slope and y-intercept
  36. S.6 Slope-intercept form: graph an equation
  37. S.7 Slope-intercept form: write an equation from a graph
  38. S.8 Slope-intercept form: write an equation
  39. S.9 Slope-intercept form: write an equation from a table
  40. S.10 Slope-intercept form: write an equation from a word problem
  41. S.11 Linear equations: solve for y
  42. S.12 Write linear functions to solve word problems
  43. S.13 Complete a table and graph a linear function
  44. S.14 Compare linear functions: graphs, tables and equations
  45. S.15 Write equations in standard form
  46. S.16 Standard form: find x- and y-intercepts
  47. S.17 Standard form: graph an equation
  48. S.18 Equations of horizontal and vertical lines
  49. S.19 Graph a horizontal or vertical line
  50. S.20 Point-slope form: graph an equation
  51. S.21 Point-slope form: write an equation
  52. S.22 Point-slope form: write an equation from a graph
  53. S.23 Slopes of parallel and perpendicular lines
  54. S.24 Write an equation for a parallel or perpendicular line
  55. S.25 Transformations of linear functions
  56. T.1 Is (x, y) a solution to the system of equations?
  57. T.2 Solve a system of equations by graphing
  58. T.3 Solve a system of equations by graphing: word problems
  59. T.4 Find the number of solutions to a system of equations by graphing

Grade 10 skills

  1. G.1 Model and solve equations using algebra tiles
  2. G.2 Write and solve equations that represent diagrams
  3. G.3 Solve one-step linear equations
  4. G.4 Solve two-step linear equations
  5. G.5 Solve advanced linear equations
  6. G.6 Solve equations with variables on both sides
  7. G.7 Solve equations: complete the solution
  8. G.8 Find the number of solutions
  9. G.10 Solve linear equations: word problems
  10. G.11 Solve linear equations: mixed review
  11. I.7 Scatter plots: line of best fit
  12. J.1 Relations: convert between tables, graphs, mappings and lists of points
  13. J.2 Domain and range of relations
  14. J.3 Identify independent and dependent variables
  15. J.4 Identify functions
  16. J.5 Identify functions: vertical line test
  17. J.6 Find values using function graphs
  18. J.7 Evaluate a function
  19. J.8 Evaluate a function: plug in an expression
  20. J.9 Complete a function table from a graph
  21. J.10 Complete a function table from an equation
  22. J.11 Interpret the graph of a function: word problems
  23. K.1 Identify proportional relationships
  24. K.2 Find the constant of variation
  25. K.3 Graph a proportional relationship
  26. K.4 Write direct variation equations
  27. K.5 Write and solve direct variation equations
  28. K.6 Identify direct variation and inverse variation
  29. K.7 Write inverse variation equations
  30. K.8 Write and solve inverse variation equations
  31. L.1 Identify linear functions
  32. L.2 Find the slope of a graph
  33. L.3 Find the slope from two points
  34. L.5 Slope-intercept form: find the slope and y-intercept
  35. L.6 Slope-intercept form: graph an equation
  36. L.7 Slope-intercept form: write an equation from a graph
  37. L.8 Slope-intercept form: write an equation
  38. L.9 Slope-intercept form: write an equation from a table
  39. L.10 Slope-intercept form: write an equation from a word problem
  40. L.11 Write linear functions to solve word problems
  41. L.12 Complete a table and graph a linear function
  42. L.13 Compare linear functions: graphs, tables and equations
  43. L.14 Write equations in standard form
  44. L.15 Standard form: find x- and y-intercepts
  45. L.16 Standard form: graph an equation
  46. L.17 Equations of horizontal and vertical lines
  47. L.18 Graph a horizontal or vertical line
  48. L.19 Point-slope form: graph an equation
  49. L.20 Point-slope form: write an equation
  50. L.21 Point-slope form: write an equation from a graph
  51. L.22 Slopes of parallel and perpendicular lines
  52. L.23 Write an equation for a parallel or perpendicular line
  53. L.26 Transformations of linear functions
  54. M.1 Is (x, y) a solution to the system of equations?
  55. M.2 Solve a system of equations by graphing
  56. M.3 Solve a system of equations by graphing: word problems
  57. M.4 Find the number of solutions to a system of equations by graphing
  58. M.5 Find the number of solutions to a system of equations
  59. M.6 Classify a system of equations by graphing
  60. M.7 Classify a system of equations
  61. M.8 Solve a system of equations using substitution
  62. M.9 Solve a system of equations using substitution: word problems
  63. M.10 Solve a system of equations using elimination
  64. M.11 Solve a system of equations using elimination: word problems
  65. M.12 Solve a system of equations using any method
  66. M.13 Solve a system of equations using any method: word problems
  67. Q.1 Characteristics of quadratic functions
  68. Q.2 Complete a function table: quadratic functions
  69. Q.3 Solve a quadratic equation using square roots
  70. Q.4 Solve a quadratic equation using the zero product property
  71. Q.5 Solve a quadratic equation by factoring
  72. Q.7 Solve a quadratic equation by completing the square
  73. Q.8 Solve a quadratic equation using the quadratic formula
  74. Q.9 Using the discriminant
  75. S.1 Identify linear, quadratic and exponential functions from graphs
  76. S.2 Identify linear, quadratic and exponential functions from tables
  77. S.3 Write linear, quadratic and exponential functions
  78. S.4 Linear functions over unit intervals
  79. S.5 Exponential functions over unit intervals
  80. S.6 Describe linear and exponential growth and decay
  81. T.1 Rational functions: asymptotes and excluded values
  82. T.7 Solve rational equations

Grade 11 skills

  1. B.1 Solve linear equations
  2. B.2 Solve linear equations: word problems
  3. B.4 Solve absolute value equations
  4. B.5 Graph solutions to absolute value equations
  5. C.8 Graph solutions to absolute value inequalities
  6. D.1 Domain and range
  7. D.2 Identify functions
  8. D.3 Evaluate functions
  9. D.4 Find values using function graphs
  10. D.5 Complete a table for a function graph
  11. D.6 Find the slope of a linear function
  12. D.7 Graph a linear function
  13. D.8 Write the equation of a linear function
  14. D.9 Linear functions over unit intervals
  15. D.10 Complete a function table: absolute value functions
  16. D.11 Graph an absolute value function
  17. E.1 Is (x, y) a solution to the system of equations?
  18. E.2 Solve a system of equations by graphing
  19. E.3 Solve a system of equations by graphing: word problems
  20. E.7 Solve a system of equations using substitution: word problems
  21. E.8 Solve a system of equations using elimination
  22. E.9 Solve a system of equations using elimination: word problems
  23. E.10 Solve a system of equations using any method
  24. E.11 Solve a system of equations using any method: word problems
  25. E.12 Solve a non-linear system of equations
  26. H.1 Characteristics of quadratic functions
  27. H.2 Complete a function table: quadratic functions
  28. H.3 Find a quadratic function
  29. H.4 Graph a quadratic function
  30. H.5 Match quadratic functions and graphs
  31. H.6 Solve a quadratic equation using square roots
  32. H.7 Solve a quadratic equation using the zero product property
  33. H.8 Solve a quadratic equation by factoring
  34. H.9 Complete the square
  35. H.10 Solve a quadratic equation using the quadratic formula
  36. H.11 Using the discriminant
  37. K.12 Domain and range of radical functions
  38. K.13 Solve radical equations
  39. M.1 Rational functions: asymptotes and excluded values
  40. M.7 Solve rational equations
  41. N.5 Exponential functions over unit intervals
  42. N.6 Describe linear and exponential growth and decay

Grade 12 skills

  1. A.1 Domain and range
  2. A.2 Identify functions
  3. A.3 Find the slope of a linear function
  4. A.4 Graph a linear function
  5. A.5 Write the equation of a linear function
  6. A.6 Linear functions over unit intervals
  7. A.7 Evaluate functions
  8. A.8 Find values using function graphs
  9. A.9 Complete a table for a function graph
  10. A.10 Add, subtract, multiply and divide functions
  11. A.11 Composition of functions
  12. A.12 Identify inverse functions
  13. A.13 Find values of inverse functions from tables
  14. A.14 Find values of inverse functions from graphs
  15. A.15 Find inverse functions and relations
  16. A.16 Identify graphs of continuous functions
  17. B.1 Translations of functions
  18. B.2 Reflections of functions
  19. B.3 Dilations of functions
  20. B.4 Transformations of functions
  21. B.5 Function transformation rules
  22. B.6 Describe function transformations
  23. C.1 Characteristics of quadratic functions
  24. C.2 Find the maximum or minimum value of a quadratic function
  25. C.3 Graph a quadratic function
  26. C.4 Match quadratic functions and graphs
  27. C.5 Solve a quadratic equation using square roots
  28. C.6 Solve a quadratic equation by factoring
  29. C.7 Solve a quadratic equation by completing the square
  30. C.8 Solve a quadratic equation using the quadratic formula
  31. C.9 Using the discriminant
  32. D.9 Match polynomials and graphs
  33. D.11 Solve equations with sums and differences of cubes
  34. D.13 Solve equations using a quadratic pattern
  35. E.1 Rational functions: asymptotes and excluded values
  36. E.2 Solve rational equations
  37. E.3 Check whether two rational functions are inverses
  38. G.9 Exponential functions over unit intervals
  39. G.10 Describe linear and exponential growth and decay
  40. H.1 Domain and range of radical functions
  41. H.2 Solve radical equations
  42. J.1 Solve a system of equations by graphing
  43. J.2 Solve a system of equations by graphing: word problems
  44. J.3 Classify a system of equations
  45. J.4 Solve a system of equations using substitution
  46. J.5 Solve a system of equations using substitution: word problems
  47. J.6 Solve a system of equations using elimination
  48. J.7 Solve a system of equations using elimination: word problems
  49. J.8 Solve a system of equations in three variables using substitution
  50. J.9 Solve a system of equations in three variables using elimination
  51. J.10 Determine the number of solutions to a system of equations in three variables
  52. O.1 Find properties of sine functions
  53. O.5 Find properties of cosine functions
  54. P.1 Complementary angle identities
  55. P.2 Symmetry and periodicity of trigonometric functions
  56. P.3 Trigonometric identities I
  57. P.4 Trigonometric identities II
  58. AA.8 Find the equation of a regression line

Calculus skills

  1. A.1 Find values of functions from graphs
  2. A.2 Add, subtract, multiply and divide functions
  3. A.3 Composition of functions
  4. A.4 Identify inverse functions
  5. A.5 Find values of inverse functions from tables
  6. A.6 Find values of inverse functions from graphs
  7. A.7 Find inverse functions and relations
  8. B.1 Function transformation rules
  9. B.2 Translations of functions
  10. B.3 Reflections of functions
  11. B.4 Dilations of functions
  12. B.5 Transformations of functions
  13. B.6 Describe function transformations
  14. C.8 Find properties of sine functions
  15. C.12 Find properties of cosine functions
  16. D.9 Describe linear and exponential growth and decay
  17. E.1 Find limits using graphs
  18. E.2 Find one-sided limits using graphs
  19. E.3 Determine if a limit exists
  20. F.1 Find limits using addition, subtraction and multiplication laws
  21. F.2 Find limits using the division law
  22. F.3 Find limits using power and root laws
  23. F.4 Find limits using limit laws
  24. F.5 Find limits of polynomials and rational functions
  25. F.6 Find limits involving factorization and rationalization
  26. F.7 Find limits involving absolute value functions
  27. F.8 Find limits involving trigonometric functions
  28. G.1 Find limits at vertical asymptotes using graphs
  29. G.2 Determine end behaviour using graphs
  30. G.3 Determine end behaviour of polynomial and rational functions
  31. H.1 Find the limit at a vertical asymptote of a rational function I
  32. H.2 Find the limit at a vertical asymptote of a rational function II
  33. I.1 Identify graphs of continuous functions
  34. I.2 Determine continuity using graphs
  35. I.3 Determine one-sided continuity using graphs
  36. I.4 Find and analyze points of discontinuity using graphs
  37. I.5 Determine continuity on an interval using graphs
  38. I.6 Determine the continuity of a piecewise function at a point
  39. I.7 Make a piecewise function continuous
  40. I.8 Intermediate Value Theorem
  41. J.1 Average rate of change I
  42. J.2 Average rate of change II
  43. J.3 Find instantaneous rates of change
  44. J.4 Velocity as a rate of change
  45. J.5 Find values of derivatives using limits
  46. J.6 Find the slope of a tangent line using limits
  47. J.7 Find equations of tangent lines using limits
  48. K.1 Sum and difference rules
  49. K.2 Product rule
  50. K.3 Quotient rule
  51. K.4 Power rule I
  52. K.5 Power rule II
  53. K.6 Chain rule
  54. K.7 Inverse function rule
  55. L.1 Find derivatives of polynomials
  56. L.2 Find derivatives of rational functions
  57. L.3 Find derivatives of trigonometric functions I
  58. L.4 Find derivatives of trigonometric functions II
  59. L.5 Find derivatives of exponential functions
  60. L.6 Find derivatives of logarithmic functions
  61. L.7 Find derivatives of inverse trigonometric functions
  62. L.8 Find derivatives of radical functions
  63. L.9 Find derivatives using the product rule I
  64. L.10 Find derivatives using the product rule II
  65. L.11 Find derivatives using the quotient rule I
  66. L.12 Find derivatives using the quotient rule II
  67. L.13 Find derivatives using the chain rule I
  68. L.14 Find derivatives using the chain rule II
  69. M.1 Find derivatives using implicit differentiation
  70. M.2 Find tangent lines using implicit differentiation
  71. M.3 Find derivatives using logarithmic differentiation
  72. N.1 Find higher derivatives of polynomials
  73. N.2 Find higher derivatives of rational and radical functions
  74. N.3 Find second derivatives of trigonometric, exponential and logarithmic functions
  75. N.4 Find higher derivatives using patterns