Functions and equations

Here is a list of all of the skills that cover functions and equations! These skills are organised by year, 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.

Secondary 2 skills

  1. F.18 Solve equations involving squares and square roots
  2. F.21 Solve equations involving cubes and cube roots
  3. I.2 Write equations for proportional relationships from tables
  4. I.4 Find the constant of proportionality from a graph
  5. I.5 Write equations for proportional relationships from graphs
  6. I.6 Identify proportional relationships
  7. I.8 Interpret graphs of proportional relationships
  8. I.9 Write and solve equations for proportional relationships
  9. X.1 Which x satisfies an equation?
  10. X.2 Write an equation from words
  11. X.3 Model and solve equations using algebra tiles
  12. X.4 Write and solve equations that represent diagrams
  13. X.6 Solve one-step equations
  14. X.7 Solve two-step equations
  15. X.8 Solve multi-step equations
  16. X.9 Solve equations involving like terms
  17. X.10 Solve equations with variables on both sides
  18. X.11 Solve equations: mixed review
  19. X.12 Solve equations: complete the solution
  20. X.13 Solve equations: word problems
  21. Z.1 Identify functions
  22. Z.2 Does (x, y) satisfy the linear function?
  23. Z.3 Identify independent and dependent variables
  24. Z.6 Evaluate a linear function
  25. Z.7 Complete a table for a linear function
  26. Z.8 Complete a table and graph a linear function
  27. Z.9 Interpret the graph of a linear function: word problems
  28. Z.10 Find the gradient of a graph
  29. Z.11 Find the gradient from two points
  30. Z.13 Find the gradient of a linear equation
  31. Z.14 Identify linear and nonlinear functions
  32. Z.15 Graph a line using gradient
  33. Z.16 Graph a line from an equation in y=mx+c form
  34. Z.17 Write a linear function from a table
  35. Z.18 Convert a linear equation in standard form to y=mx+c form
  36. Z.19 Graph a line from an equation in standard form
  37. Z.20 Write linear functions: word problems
  38. Z.21 Gradients of parallel and perpendicular lines
  39. Z.22 Compare linear functions: graphs, tables and equations
  40. AA.1 Is (x, y) a solution to the simultaneous equations?
  41. AA.2 Solve simultaneous equations by graphing
  42. AA.3 Solve simultaneous equations by graphing: word problems
  43. AA.4 Find the number of solutions to simultaneous equations by graphing
  44. AA.5 Find the number of solutions to simultaneous equations
  45. AA.6 Solve simultaneous equations using substitution
  46. AA.7 Solve simultaneous equations using substitution: word problems
  47. AA.8 Solve simultaneous equations using elimination
  48. AA.9 Solve simultaneous equations using elimination: word problems
  49. CC.5 Characteristics of quadratic functions
  50. CC.6 Complete a function table: quadratic functions
  51. CC.7 Solve a quadratic equation using the zero product property
  52. CC.8 Solve a quadratic equation by factorising
  53. DD.5 Solve rational equations

Secondary 3 skills

  1. K.4 Write variable equations
  2. K.5 Does x satisfy the equation?
  3. K.6 Which x satisfies an equation?
  4. K.7 Solve equations using order of operations
  5. L.1 Model and solve equations using algebra tiles
  6. L.2 Write and solve equations that represent diagrams
  7. L.3 Solve one-step linear equations
  8. L.4 Solve two-step linear equations
  9. L.5 Solve advanced linear equations
  10. L.6 Solve equations with variables on both sides
  11. L.7 Solve equations: complete the solution
  12. L.8 Find the number of solutions
  13. L.10 Solve linear equations: word problems
  14. L.11 Solve linear equations: mixed review
  15. P.4 Rate of travel: word problems
  16. P.5 Weighted averages: word problems
  17. R.1 Relations: convert between tables, graphs, mappings and lists of points
  18. R.2 Domain and range of relations
  19. R.3 Identify independent and dependent variables
  20. R.4 Identify functions
  21. R.5 Identify functions: vertical line test
  22. R.6 Find values using function graphs
  23. R.7 Evaluate a function
  24. R.8 Evaluate a function: plug in an expression
  25. R.9 Complete a function table from a graph
  26. R.10 Complete a function table from an equation
  27. R.11 Interpret the graph of a function: word problems
  28. S.1 Identify proportional relationships
  29. S.2 Find the constant of variation
  30. S.3 Graph a proportional relationship
  31. S.4 Write direct variation equations
  32. S.5 Write and solve direct variation equations
  33. T.1 Identify linear functions
  34. T.2 Find the gradient of a graph
  35. T.3 Find the gradient from two points
  36. T.5 Find the gradient and y-intercept of a linear equation
  37. T.6 Graph an equation in y=mx+c form
  38. T.7 Write an equation in y=mx+c form from a graph
  39. T.8 Write an equation in y=mx+c form
  40. T.9 Write an equation in y=mx+c form from a table
  41. T.10 Write an equation in y=mx+c form from a word problem
  42. T.11 Linear equations: solve for y
  43. T.12 Write linear functions to solve word problems
  44. T.13 Complete a table and graph a linear function
  45. T.14 Compare linear functions: graphs, tables and equations
  46. T.15 Write equations in standard form
  47. T.16 Standard form: find x- and y-intercepts
  48. T.17 Standard form: graph an equation
  49. T.18 Equations of horizontal and vertical lines
  50. T.19 Graph a horizontal or vertical line
  51. T.20 Point-gradient form: graph an equation
  52. T.21 Point-gradient form: write an equation
  53. T.22 Point-gradient form: write an equation from a graph
  54. T.23 Gradients of parallel and perpendicular lines
  55. T.24 Write an equation for a parallel or perpendicular line
  56. T.25 Transformations of linear functions
  57. U.1 Is (x, y) a solution to the simultaneous equations?
  58. U.2 Solve simultaneous equations by graphing
  59. U.3 Solve simultaneous equations by graphing: word problems
  60. U.4 Find the number of solutions to simultaneous equations by graphing
  61. U.5 Find the number of solutions to simultaneous equations
  62. U.6 Solve simultaneous equations using substitution
  63. U.7 Solve simultaneous equations using substitution: word problems
  64. U.8 Solve simultaneous equations using elimination
  65. U.9 Solve simultaneous equations using elimination: word problems
  66. X.1 Evaluate an exponential function
  67. X.2 Match exponential functions and graphs
  68. X.3 Domain and range of exponential functions
  69. BB.1 Characteristics of quadratic functions
  70. BB.2 Complete a function table: quadratic functions
  71. BB.3 Graph a quadratic function
  72. BB.4 Solve a quadratic equation using square roots
  73. BB.5 Solve a quadratic equation using the zero product property
  74. BB.6 Solve a quadratic equation by factorising
  75. BB.8 Solve a quadratic equation by completing the square
  76. BB.9 Solve a quadratic equation using the quadratic formula
  77. BB.10 Using the discriminant
  78. CC.1 Identify linear, quadratic and exponential functions from graphs
  79. CC.2 Identify linear, quadratic and exponential functions from tables
  80. CC.3 Write linear, quadratic and exponential functions
  81. DD.6 Solve rational equations

Secondary 4 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 Identify linear functions
  12. F.2 Find the gradient of a graph
  13. F.3 Find the gradient from two points
  14. F.5 Find the gradient and y-intercept of a linear equation
  15. F.6 Graph an equation in y=mx+c form
  16. F.7 Write an equation in y=mx+c form from a graph
  17. F.8 Write an equation in y=mx+c form
  18. F.9 Slope-intercept form: write an equation from a table
  19. F.10 Slope-intercept form: write an equation from a word problem
  20. F.11 Write linear functions to solve word problems
  21. F.12 Complete a table and graph a linear function
  22. F.13 Compare linear functions: graphs, tables and equations
  23. F.14 Write equations in standard form
  24. F.15 Standard form: find x- and y-intercepts
  25. F.16 Standard form: graph an equation
  26. F.17 Equations of horizontal and vertical lines
  27. F.18 Graph a horizontal or vertical line
  28. F.19 Point-gradient form: graph an equation
  29. F.20 Point-gradient form: write an equation
  30. F.21 Point-gradient form: write an equation from a graph
  31. F.22 Gradients of parallel and perpendicular lines
  32. F.23 Write an equation for a parallel or perpendicular line
  33. F.26 Transformations of linear functions
  34. G.1 Is (x, y) a solution to the simultaneous equations?
  35. G.2 Solve simultaneous equations by graphing
  36. G.3 Solve simultaneous equations by graphing: word problems
  37. G.4 Find the number of solutions to simultaneous equations by graphing
  38. G.5 Find the number of solutions to simultaneous equations
  39. G.6 Solve simultaneous equations using substitution
  40. G.7 Solve simultaneous equations using substitution: word problems
  41. G.8 Solve simultaneous equations using elimination
  42. G.9 Solve simultaneous equations using elimination: word problems
  43. J.1 Evaluate an exponential function
  44. J.2 Match exponential functions and graphs
  45. J.3 Domain and range of exponential functions
  46. N.1 Characteristics of quadratic functions
  47. N.2 Complete a function table: quadratic functions
  48. N.3 Graph a quadratic function
  49. N.4 Match quadratic functions and graphs
  50. N.5 Solve a quadratic equation using square roots
  51. N.6 Solve a quadratic equation using the zero product property
  52. N.7 Solve a quadratic equation by factorising
  53. N.9 Solve a quadratic equation by completing the square
  54. N.10 Solve a quadratic equation using the quadratic formula
  55. N.11 Using the discriminant
  56. O.1 Identify linear, quadratic and exponential functions from graphs
  57. O.2 Identify linear, quadratic and exponential functions from tables
  58. O.3 Write linear, quadratic and exponential functions
  59. O.4 Linear functions over unit intervals
  60. O.5 Exponential functions over unit intervals
  61. O.6 Describe linear and exponential growth and decay
  62. P.6 Solve rational equations
  63. GG.2 Rate of travel: word problems
  64. GG.3 Weighted averages: word problems
  65. KK.1 Sum and difference rules
  66. KK.2 Product rule
  67. KK.3 Quotient rule
  68. KK.4 Power rule I
  69. KK.5 Power rule II
  70. KK.6 Find derivatives of polynomials
  71. KK.7 Find derivatives of rational functions
  72. KK.8 Chain rule
  73. KK.9 Find derivatives of exponential functions
  74. KK.10 Find derivatives of radical functions
  75. KK.11 Find derivatives using the chain rule I
  76. KK.12 Find derivatives using the chain rule II

Higher 1 skills

  1. A.1 Solve linear equations
  2. A.2 Solve linear equations: word problems
  3. B.1 Domain and range
  4. B.2 Identify functions
  5. B.3 Evaluate functions
  6. B.4 Find values using function graphs
  7. B.5 Complete a table for a function graph
  8. B.6 Find the gradient of a linear function
  9. B.7 Graph a linear function
  10. B.8 Write the equation of a linear function
  11. B.9 Linear functions over unit intervals
  12. C.1 Is (x, y) a solution to the simultaneous equations?
  13. C.2 Solve simultaneous equations by graphing
  14. C.3 Solve simultaneous equations by graphing: word problems
  15. C.7 Solve simultaneous equations using substitution: word problems
  16. C.8 Solve simultaneous equations using elimination
  17. C.9 Solve simultaneous equations using elimination: word problems
  18. C.10 Solve simultaneous equations using any method
  19. C.11 Solve simultaneous equations using any method: word problems
  20. C.12 Solve simultaneous equations in three variables using substitution
  21. C.13 Solve simultaneous equations in three variables using elimination
  22. C.14 Determine the number of solutions to a system of equations in three variables
  23. C.15 Solve non-linear simultaneous equations
  24. H.1 Characteristics of quadratic functions
  25. H.2 Complete a function table: quadratic functions
  26. H.3 Find a quadratic function
  27. H.4 Graph a quadratic function
  28. H.5 Match quadratic functions and graphs
  29. H.6 Solve a quadratic equation using square roots
  30. H.7 Solve a quadratic equation using the zero product property
  31. H.8 Solve a quadratic equation by factorising
  32. H.9 Complete the square
  33. H.10 Solve a quadratic equation using the quadratic formula
  34. H.11 Using the discriminant
  35. I.6 Solve polynomial equations
  36. I.12 Match polynomials and graphs
  37. J.12 Domain and range of radical functions
  38. J.13 Solve radical equations
  39. L.1 Rational functions: asymptotes and excluded values
  40. L.7 Solve rational equations
  41. M.1 Add and subtract functions
  42. M.2 Multiply functions
  43. M.3 Divide functions
  44. M.4 Composition of linear functions: find a value
  45. M.5 Composition of linear functions: find an equation
  46. M.6 Composition of linear and quadratic functions: find a value
  47. M.7 Composition of linear and quadratic functions: find an equation
  48. M.8 Identify inverse functions
  49. M.9 Find values of inverse functions from tables
  50. M.10 Find values of inverse functions from graphs
  51. M.11 Find inverse functions and relations
  52. N.1 Translations of functions
  53. N.2 Reflections of functions
  54. N.3 Dilations of functions
  55. N.4 Transformations of functions
  56. N.5 Function transformation rules
  57. N.6 Describe function transformations
  58. P.10 Exponential functions over unit intervals
  59. P.11 Describe linear and exponential growth and decay
  60. W.1 Find properties of sine functions
  61. W.5 Find properties of cosine functions
  62. X.1 Complementary angle identities
  63. X.2 Symmetry and periodicity of trigonometric functions
  64. X.3 Trigonometric identities I
  65. X.4 Trigonometric identities II
  66. Z.1 Sum and difference rules
  67. Z.2 Product rule
  68. Z.3 Quotient rule
  69. Z.4 Power rule I
  70. Z.5 Power rule II
  71. Z.6 Find derivatives of polynomials
  72. Z.7 Find derivatives of rational functions
  73. Z.8 Chain rule
  74. Z.9 Find derivatives of exponential functions
  75. Z.10 Find derivatives of logarithmic functions
  76. Z.11 Find derivatives of radical functions
  77. Z.12 Find derivatives using the chain rule I
  78. Z.13 Find derivatives using the chain rule II
  79. BB.6 Scatter plots: line of best fit

Higher 2 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 Evaluate functions
  7. A.7 Find values using function graphs
  8. A.8 Complete a table for a function graph
  9. A.9 Add, subtract, multiply and divide functions
  10. A.10 Composition of functions
  11. A.11 Identify inverse functions
  12. A.12 Find values of inverse functions from tables
  13. A.13 Find values of inverse functions from graphs
  14. A.14 Find inverse functions and relations
  15. B.1 Translations of functions
  16. B.2 Reflections of functions
  17. B.3 Dilations of functions
  18. B.4 Transformations of functions
  19. B.5 Function transformation rules
  20. B.6 Describe function transformations
  21. C.1 Characteristics of quadratic functions
  22. C.2 Find the maximum or minimum value of a quadratic function
  23. C.3 Graph a quadratic function
  24. C.4 Match quadratic functions and graphs
  25. C.5 Solve a quadratic equation using square roots
  26. C.6 Solve a quadratic equation by factorising
  27. C.7 Solve a quadratic equation by completing the square
  28. C.8 Solve a quadratic equation using the quadratic formula
  29. C.9 Using the discriminant
  30. D.9 Match polynomials and graphs
  31. D.11 Solve equations with sums and differences of cubes
  32. D.13 Solve equations using a quadratic pattern
  33. E.1 Rational functions: asymptotes and excluded values
  34. E.2 Solve rational equations
  35. E.3 Check whether two rational functions are inverses
  36. F.1 Solve simultaneous equations by graphing
  37. F.2 Solve simultaneous equations by graphing: word problems
  38. F.3 Classify simultaneous equations
  39. F.4 Solve simultaneous equations using substitution
  40. F.5 Solve simultaneous equations using substitution: word problems
  41. F.6 Solve simultaneous equations using elimination
  42. F.7 Solve simultaneous equations using elimination: word problems
  43. F.8 Solve simultaneous equations in three variables using substitution
  44. F.9 Solve simultaneous equations in three variables using elimination
  45. F.10 Determine the number of solutions to simultaneous equations in three variables
  46. Q.1 Find limits using graphs
  47. Q.2 Find one-sided limits using graphs
  48. Q.3 Determine if a limit exists
  49. R.1 Find limits using addition, subtraction and multiplication laws
  50. R.2 Find limits using the division law
  51. R.3 Find limits using power and root laws
  52. R.4 Find limits using limit laws
  53. R.5 Find limits of polynomials and rational functions
  54. R.6 Find limits involving factorisation and rationalisation
  55. R.7 Find limits involving absolute value functions
  56. R.8 Find limits involving trigonometric functions
  57. S.1 Find limits at vertical asymptotes using graphs
  58. S.2 Determine end behaviour using graphs
  59. S.3 Determine end behaviour of polynomial and rational functions
  60. T.1 Find the limit at a vertical asymptote of a rational function I
  61. T.2 Find the limit at a vertical asymptote of a rational function II
  62. U.1 Identify graphs of continuous functions
  63. U.2 Determine continuity using graphs
  64. U.3 Determine one-sided continuity using graphs
  65. U.4 Find and analyse points of discontinuity using graphs
  66. U.5 Determine continuity on an interval using graphs
  67. U.6 Determine the continuity of a piecewise function at a point
  68. U.7 Make a piecewise function continuous
  69. U.8 Intermediate Value Theorem
  70. W.1 Sum and difference rules
  71. W.2 Product rule
  72. W.3 Quotient rule
  73. W.4 Power rule I
  74. W.5 Power rule II
  75. W.6 Chain rule
  76. W.7 Inverse function rule
  77. X.1 Find derivatives of polynomials
  78. X.2 Find derivatives of rational functions
  79. X.3 Find derivatives of trigonometric functions I
  80. X.4 Find derivatives of trigonometric functions II
  81. X.5 Find derivatives of exponential functions
  82. X.6 Find derivatives of logarithmic functions
  83. X.7 Find derivatives of inverse trigonometric functions
  84. X.8 Find derivatives of radical functions
  85. X.9 Find derivatives using the product rule I
  86. X.10 Find derivatives using the product rule II
  87. X.11 Find derivatives using the quotient rule I
  88. X.12 Find derivatives using the quotient rule II
  89. X.13 Find derivatives using the chain rule I
  90. X.14 Find derivatives using the chain rule II
  91. Y.1 Find derivatives using implicit differentiation
  92. Y.2 Find tangent lines using implicit differentiation
  93. Y.3 Find derivatives using logarithmic differentiation
  94. Z.1 Find higher derivatives of polynomials
  95. Z.2 Find higher derivatives of rational and radical functions
  96. Z.3 Find second derivatives of trigonometric, exponential and logarithmic functions
  97. Z.4 Find higher derivatives using patterns
  98. CC.8 Find the equation of a regression line