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.

Year 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. N.1 Relations: convert between tables, graphs, mappings and lists of points
  16. N.2 Identify independent and dependent variables
  17. N.3 Identify functions
  18. N.4 Identify functions: vertical line test
  19. N.5 Find values using function graphs
  20. N.6 Evaluate a function
  21. N.7 Evaluate a function: plug in an expression
  22. N.8 Complete a function table from a graph
  23. N.9 Complete a function table from an equation
  24. N.10 Interpret the graph of a function: word problems
  25. O.1 Identify proportional relationships
  26. O.2 Find the constant of variation
  27. O.3 Graph a proportional relationship
  28. O.4 Write direct variation equations
  29. O.5 Write and solve direct variation equations
  30. P.1 Identify linear functions
  31. P.2 Find the gradient of a graph
  32. P.3 Find the gradient from two points
  33. P.5 Find the gradient and y-intercept of a linear equation
  34. P.6 Graph an equation in y=mx+c form
  35. P.7 Write an equation in y=mx+c form from a graph
  36. P.8 Write an equation in y=mx+c form
  37. P.9 Write an equation in y=mx+c form from a table
  38. P.10 Write an equation in y=mx+c form from a word problem
  39. P.11 Linear equations: solve for y
  40. P.12 Write linear functions to solve word problems
  41. P.13 Complete a table and graph a linear function
  42. P.14 Compare linear functions: graphs, tables and equations
  43. P.15 Write equations in standard form
  44. P.16 Standard form: find x- and y-intercepts
  45. P.17 Standard form: graph an equation
  46. P.18 Equations of horizontal and vertical lines
  47. P.19 Graph a horizontal or vertical line
  48. P.20 Point-gradient form: graph an equation
  49. P.21 Point-gradient form: write an equation
  50. P.22 Point-gradient form: write an equation from a graph
  51. P.23 Gradients of parallel and perpendicular lines
  52. P.24 Write an equation for a parallel or perpendicular line
  53. P.25 Transformations of linear functions
  54. R.1 Is (x, y) a solution to the simultaneous equations?
  55. R.2 Solve simultaneous equations by graphing
  56. R.3 Solve simultaneous equations by graphing: word problems
  57. R.4 Find the number of solutions to simultaneous equations by graphing
  58. R.5 Find the number of solutions to simultaneous equations
  59. R.6 Solve simultaneous equations using substitution
  60. R.7 Solve simultaneous equations using substitution: word problems
  61. R.8 Solve simultaneous equations using elimination
  62. R.9 Solve simultaneous equations using elimination: word problems
  63. Y.6 Solve rational equations
  64. Z.4 Rate of travel: word problems
  65. Z.5 Weighted averages: word problems

Year 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 Find values using function graphs
  16. F.6 Evaluate a function
  17. F.7 Complete a function table from a graph
  18. F.8 Complete a function table from an equation
  19. F.9 Interpret the graph of a function: word problems
  20. F.10 Domain and range
  21. G.1 Identify linear functions
  22. G.2 Find the gradient of a graph
  23. G.3 Find the gradient from two points
  24. G.5 Find the gradient and y-intercept of a linear equation
  25. G.6 Graph an equation in y=mx+c form
  26. G.7 Write an equation in y=mx+c form from a graph
  27. G.8 Write an equation in y=mx+c form
  28. G.9 Write an equation in y=mx+c form from a table
  29. G.10 Write an equation in y=mx+c form from a word problem
  30. G.11 Write linear functions to solve word problems
  31. G.12 Complete a table and graph a linear function
  32. G.13 Compare linear functions: graphs, tables and equations
  33. G.14 Write equations in standard form
  34. G.15 Standard form: find x- and y-intercepts
  35. G.16 Standard form: graph an equation
  36. G.17 Equations of horizontal and vertical lines
  37. G.18 Graph a horizontal or vertical line
  38. G.19 Point-gradient form: graph an equation
  39. G.20 Point-gradient form: write an equation
  40. G.21 Point-gradient form: write an equation from a graph
  41. G.22 Gradients of parallel and perpendicular lines
  42. G.23 Write an equation for a parallel or perpendicular line
  43. G.26 Transformations of linear functions
  44. H.1 Is (x, y) a solution to the simultaneous equations?
  45. H.2 Solve simultaneous equations by graphing
  46. H.3 Solve simultaneous equations by graphing: word problems
  47. H.4 Find the number of solutions to simultaneous equations by graphing
  48. H.5 Find the number of solutions to simultaneous equations
  49. H.6 Solve simultaneous equations using substitution
  50. H.7 Solve simultaneous equations using substitution: word problems
  51. H.8 Solve simultaneous equations using elimination
  52. H.9 Solve simultaneous equations using elimination: word problems
  53. H.10 Solve a system of equations using any method
  54. H.11 Solve a system of equations using any method: word problems
  55. M.2 Evaluate an exponential function
  56. M.3 Match exponential functions and graphs
  57. O.14 Match polynomials and graphs
  58. Q.1 Characteristics of quadratic functions
  59. Q.2 Complete a function table: quadratic functions
  60. Q.3 Transformations of quadratic functions
  61. Q.4 Find a quadratic function
  62. Q.5 Graph a quadratic function
  63. Q.6 Match quadratic functions and graphs
  64. Q.7 Solve a quadratic equation using square roots
  65. Q.8 Solve a quadratic equation using the zero product property
  66. Q.9 Solve a quadratic equation by factorising
  67. Q.11 Solve a quadratic equation by completing the square
  68. Q.12 Solve a quadratic equation using the quadratic formula
  69. Q.13 Using the discriminant
  70. R.1 Identify linear, quadratic and exponential functions from graphs
  71. R.2 Identify linear, quadratic and exponential functions from tables
  72. R.3 Write linear, quadratic and exponential functions
  73. R.4 Linear functions over unit intervals
  74. R.5 Exponential functions over unit intervals
  75. R.6 Describe linear and exponential growth and decay
  76. V.12 Domain and range of radical functions
  77. V.13 Solve radical equations
  78. W.1 Rational functions: asymptotes and excluded values
  79. W.8 Solve rational equations
  80. EE.9 Symmetry and periodicity of trigonometric functions
  81. II.2 Rate of travel: word problems
  82. II.3 Weighted averages: word problems
  83. LL.9 Scatter plots: line of best fit

Year 11 skills

  1. C.1 Solve linear equations
  2. C.2 Solve linear equations: word problems
  3. C.9 Solve absolute value equations
  4. D.1 Is (x, y) a solution to the simultaneous equations?
  5. D.2 Solve simultaneous equations by graphing
  6. D.3 Solve simultaneous equations by graphing: word problems
  7. D.6 Solve simultaneous equations using substitution: word problems
  8. D.7 Solve simultaneous equations using elimination
  9. D.8 Solve simultaneous equations using elimination: word problems
  10. D.9 Solve simultaneous equations using any method
  11. D.10 Solve simultaneous equations using any method: word problems
  12. G.1 Domain and range
  13. G.2 Identify functions
  14. G.3 Evaluate functions
  15. G.4 Find values using function graphs
  16. G.5 Complete a table for a function graph
  17. G.6 Find the gradient of a linear function
  18. G.7 Graph a linear function
  19. G.8 Write the equation of a linear function
  20. G.9 Linear functions over unit intervals
  21. H.1 Identify proportional relationships
  22. H.2 Find the constant of variation
  23. H.3 Graph a proportional relationship
  24. H.4 Write direct variation equations
  25. H.5 Write and solve direct variation equations
  26. L.1 Characteristics of quadratic functions
  27. L.2 Complete a function table: quadratic functions
  28. L.3 Transformations of quadratic functions
  29. L.4 Find a quadratic function
  30. L.5 Graph a quadratic function
  31. L.6 Match quadratic functions and graphs
  32. L.7 Solve a quadratic equation using square roots
  33. L.8 Solve a quadratic equation using the zero product property
  34. L.9 Solve a quadratic equation by factorising
  35. L.10 Complete the square
  36. L.11 Solve a quadratic equation using the quadratic formula
  37. L.12 Using the discriminant
  38. M.13 Match polynomials and graphs
  39. N.12 Domain and range of radical functions
  40. N.13 Solve radical equations
  41. P.1 Rational functions: asymptotes and excluded values
  42. P.7 Solve rational equations
  43. R.9 Exponential functions over unit intervals
  44. R.10 Describe linear and exponential growth and decay
  45. W.1 Find properties of sine functions
  46. W.5 Find properties of cosine functions
  47. X.1 Complementary angle identities
  48. X.2 Symmetry and periodicity of trigonometric functions
  49. X.3 Trigonometric identities I
  50. X.4 Trigonometric identities II
  51. II.1 Find limits using graphs
  52. II.2 Find one-sided limits using graphs
  53. II.3 Determine if a limit exists
  54. JJ.1 Find limits using addition, subtraction and multiplication laws
  55. JJ.2 Find limits using the division law
  56. JJ.3 Find limits using power and root laws
  57. JJ.4 Find limits using limit laws
  58. JJ.5 Find limits of polynomials and rational functions
  59. JJ.6 Find limits involving factorisation and rationalisation
  60. JJ.7 Find limits involving absolute value functions
  61. JJ.8 Find limits involving trigonometric functions
  62. KK.1 Find limits at vertical asymptotes using graphs
  63. KK.2 Determine end behaviour using graphs
  64. KK.3 Determine end behaviour of polynomial and rational functions
  65. KK.4 Find the limit at a vertical asymptote of a rational function I
  66. KK.5 Find the limit at a vertical asymptote of a rational function II
  67. LL.1 Identify graphs of continuous functions
  68. LL.2 Determine continuity using graphs
  69. LL.3 Determine one-sided continuity using graphs
  70. LL.4 Find and analyse points of discontinuity using graphs
  71. LL.5 Determine continuity on an interval using graphs
  72. LL.6 Determine the continuity of a piecewise function at a point
  73. LL.7 Make a piecewise function continuous
  74. LL.8 Intermediate Value Theorem
  75. MM.8 Sum and difference rules
  76. MM.9 Power rule I
  77. MM.10 Power rule II
  78. MM.11 Find derivatives of polynomials

Year 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 Complete a function table: absolute value functions
  8. A.8 Graph an absolute value function
  9. A.9 Evaluate functions
  10. A.10 Find values using function graphs
  11. A.11 Complete a table for a function graph
  12. A.12 Add, subtract, multiply and divide functions
  13. A.13 Composition of functions
  14. A.14 Identify inverse functions
  15. A.15 Find values of inverse functions from tables
  16. A.16 Find values of inverse functions from graphs
  17. A.17 Find inverse functions and relations
  18. B.1 Translations of functions
  19. B.2 Reflections of functions
  20. B.3 Dilations of functions
  21. B.4 Transformations of functions
  22. B.5 Function transformation rules
  23. B.6 Describe function transformations
  24. C.1 Characteristics of quadratic functions
  25. C.2 Find the maximum or minimum value of a quadratic function
  26. C.3 Graph a quadratic function
  27. C.4 Match quadratic functions and graphs
  28. C.5 Solve a quadratic equation using square roots
  29. C.6 Solve a quadratic equation by factorising
  30. C.7 Solve a quadratic equation by completing the square
  31. C.8 Solve a quadratic equation using the quadratic formula
  32. C.9 Using the discriminant
  33. D.11 Match polynomials and graphs
  34. D.13 Solve equations with sums and differences of cubes
  35. D.15 Solve equations using a quadratic pattern
  36. E.1 Rational functions: asymptotes and excluded values
  37. E.2 Solve rational equations
  38. E.3 Check whether two rational functions are inverses
  39. F.14 Exponential functions over unit intervals
  40. F.15 Describe linear and exponential growth and decay
  41. G.1 Domain and range of radical functions
  42. G.2 Solve radical equations
  43. I.1 Solve simultaneous equations by graphing
  44. I.2 Solve simultaneous equations by graphing: word problems
  45. I.3 Classify simultaneous equations
  46. I.4 Solve simultaneous equations using substitution
  47. I.5 Solve simultaneous equations using substitution: word problems
  48. I.6 Solve simultaneous equations using elimination
  49. I.7 Solve simultaneous equations using elimination: word problems
  50. I.8 Solve simultaneous equations in three variables using substitution
  51. I.9 Solve simultaneous equations in three variables using elimination
  52. I.10 Determine the number of solutions to simultaneous equations in three variables
  53. M.1 Find properties of sine functions
  54. M.5 Find properties of cosine functions
  55. N.1 Complementary angle identities
  56. N.2 Symmetry and periodicity of trigonometric functions
  57. N.3 Trigonometric identities I
  58. N.4 Trigonometric identities II
  59. X.8 Find the equation of a regression line
  60. Z.1 Sum and difference rules
  61. Z.2 Product rule
  62. Z.3 Quotient rule
  63. Z.4 Power rule I
  64. Z.5 Power rule II
  65. Z.6 Chain rule
  66. Z.7 Inverse function rule
  67. AA.1 Find derivatives of polynomials
  68. AA.2 Find derivatives of rational functions
  69. AA.3 Find derivatives of trigonometric functions I
  70. AA.4 Find derivatives of trigonometric functions II
  71. AA.5 Find derivatives of exponential functions
  72. AA.6 Find derivatives of logarithmic functions
  73. AA.7 Find derivatives of inverse trigonometric functions
  74. AA.8 Find derivatives of radical functions
  75. AA.9 Find derivatives using the product rule I
  76. AA.10 Find derivatives using the product rule II
  77. AA.11 Find derivatives using the quotient rule I
  78. AA.12 Find derivatives using the quotient rule II
  79. AA.13 Find derivatives using the chain rule I
  80. AA.14 Find derivatives using the chain rule II
  81. BB.1 Find derivatives using implicit differentiation
  82. BB.2 Find tangent lines using implicit differentiation
  83. BB.3 Find derivatives using logarithmic differentiation
  84. CC.1 Find higher derivatives of polynomials
  85. CC.2 Find higher derivatives of rational and radical functions
  86. CC.3 Find second derivatives of trigonometric, exponential and logarithmic functions
  87. CC.4 Find higher derivatives using patterns