Functions and equations

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

Grade 10 skills

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

Grade 11 skills

  1. A.1 Domain and range
  2. A.2 Identify functions
  3. A.3 Evaluate functions
  4. A.4 Find values using function graphs
  5. A.5 Complete a table for a function graph
  6. A.6 Find the gradient of a linear function
  7. A.7 Graph a linear function
  8. A.8 Write the equation of a linear function
  9. A.9 Linear functions over unit intervals
  10. B.1 Is (x, y) a solution to the simultaneous equations?
  11. B.2 Solve simultaneous equations by graphing
  12. B.3 Solve simultaneous equations by graphing: word problems
  13. B.6 Solve simultaneous equations using substitution: word problems
  14. B.7 Solve simultaneous equations using elimination
  15. B.8 Solve simultaneous equations using elimination: word problems
  16. B.9 Solve simultaneous equations using any method
  17. B.10 Solve simultaneous equations using any method: word problems
  18. B.11 Solve non-linear simultaneous equations
  19. E.1 Characteristics of quadratic functions
  20. E.2 Complete a function table: quadratic functions
  21. E.3 Find a quadratic function
  22. E.4 Graph a quadratic function
  23. E.5 Match quadratic functions and graphs
  24. E.6 Solve a quadratic equation using square roots
  25. E.7 Solve a quadratic equation using the zero product property
  26. E.8 Solve a quadratic equation by factorising
  27. E.9 Complete the square
  28. E.10 Solve a quadratic equation using the quadratic formula
  29. E.11 Using the discriminant
  30. F.7 Solve polynomial equations
  31. F.14 Match polynomials and graphs
  32. G.12 Domain and range of radical functions
  33. G.13 Solve radical equations
  34. I.1 Rational functions: asymptotes and excluded values
  35. I.7 Solve rational equations
  36. J.1 Add and subtract functions
  37. J.2 Multiply functions
  38. J.3 Divide functions
  39. J.4 Composition of linear functions: find a value
  40. J.5 Composition of linear functions: find an equation
  41. J.6 Composition of linear and quadratic functions: find a value
  42. J.7 Composition of linear and quadratic functions: find an equation
  43. J.8 Identify inverse functions
  44. J.9 Find values of inverse functions from tables
  45. J.10 Find values of inverse functions from graphs
  46. J.11 Find inverse functions and relations
  47. L.9 Exponential functions over unit intervals
  48. L.10 Describe linear and exponential growth and decay
  49. S.1 Find properties of sine functions
  50. S.5 Find properties of cosine functions
  51. T.1 Complementary angle identities
  52. T.2 Symmetry and periodicity of trigonometric functions
  53. T.3 Trigonometric identities I
  54. T.4 Trigonometric identities II

Grade 12 skills

  1. A.1 Domain and range
  2. A.2 Identify functions
  3. A.3 Find the gradient 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. B.1 Translations of functions
  17. B.2 Reflections of functions
  18. B.3 Dilations of functions
  19. B.4 Transformations of functions
  20. B.5 Function transformation rules
  21. B.6 Describe function transformations
  22. C.1 Characteristics of quadratic functions
  23. C.2 Find the maximum or minimum value of a quadratic function
  24. C.3 Graph a quadratic function
  25. C.4 Match quadratic functions and graphs
  26. C.5 Solve a quadratic equation using square roots
  27. C.6 Solve a quadratic equation by factorising
  28. C.7 Solve a quadratic equation by completing the square
  29. C.8 Solve a quadratic equation using the quadratic formula
  30. C.9 Using the discriminant
  31. D.11 Match polynomials and graphs
  32. D.13 Solve equations with sums and differences of cubes
  33. D.15 Solve equations using a quadratic pattern
  34. E.1 Rational functions: asymptotes and excluded values
  35. E.2 Solve rational equations
  36. E.3 Check whether two rational functions are inverses
  37. F.14 Exponential functions over unit intervals
  38. F.15 Describe linear and exponential growth and decay
  39. I.1 Find properties of sine functions
  40. I.5 Find properties of cosine functions
  41. J.1 Complementary angle identities
  42. J.2 Symmetry and periodicity of trigonometric functions
  43. J.3 Trigonometric identities I
  44. J.4 Trigonometric identities II
  45. S.8 Find the equation of a regression line
  46. T.1 Find limits using graphs
  47. T.2 Find one-sided limits using graphs
  48. T.3 Determine if a limit exists
  49. U.1 Find limits using addition, subtraction and multiplication laws
  50. U.2 Find limits using the division law
  51. U.3 Find limits using power and root laws
  52. U.4 Find limits using limit laws
  53. U.5 Find limits of polynomials and rational functions
  54. U.6 Find limits involving factorisation
  55. U.7 Find limits involving absolute value functions
  56. U.8 Find limits involving trigonometric functions
  57. V.1 Find limits at vertical asymptotes using graphs
  58. V.2 Determine end behaviour using graphs
  59. V.3 Determine end behaviour of polynomial and rational functions
  60. W.1 Find the limit at a vertical asymptote of a rational function I
  61. W.2 Find the limit at a vertical asymptote of a rational function II
  62. X.1 Identify graphs of continuous functions
  63. X.2 Determine continuity using graphs
  64. X.3 Determine one-sided continuity using graphs
  65. X.4 Find and analyse points of discontinuity using graphs
  66. X.5 Determine continuity on an interval using graphs
  67. X.6 Determine the continuity of a piecewise function at a point
  68. X.7 Make a piecewise function continuous
  69. X.8 Intermediate Value Theorem
  70. Z.1 Sum and difference rules
  71. Z.2 Power rule I
  72. Z.3 Power rule II
  73. Z.4 Find derivatives of polynomials I
  74. Z.5 Find derivatives of polynomials II
  75. Z.6 Find second derivatives of polynomials
  76. Z.7 Find derivatives of rational functions