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.

Second-year skills

  1. F.18 Solve equations involving squares and square roots
  2. I.2 Write equations for proportional relationships from tables
  3. I.4 Find the constant of proportionality from a graph
  4. I.5 Write equations for proportional relationships from graphs
  5. I.6 Identify proportional relationships
  6. I.8 Interpret graphs of proportional relationships
  7. I.9 Write and solve equations for proportional relationships
  8. X.1 Which x satisfies an equation?
  9. X.2 Write an equation from words
  10. X.3 Model and solve equations using algebra tiles
  11. X.4 Write and solve equations that represent diagrams
  12. X.6 Solve one-step equations
  13. X.7 Solve two-step equations
  14. X.8 Solve multi-step equations
  15. X.9 Solve equations involving like terms
  16. X.10 Solve equations: complete the solution
  17. X.11 Solve equations: word problems
  18. Z.1 Find the slope of a graph
  19. Z.2 Find the slope from two points
  20. Z.4 Find the slope of an equation
  21. Z.5 Graph a line using slope
  22. Z.6 Graph a line from an equation
  23. Z.7 Write a linear equation from a slope and y-intercept
  24. Z.8 Write a linear equation from a graph
  25. Z.9 Write a linear equation from a slope and a point
  26. Z.10 Write a linear equation from two points
  27. Z.11 Slopes of parallel and perpendicular lines
  28. AA.1 Identify functions
  29. AA.2 Does (x, y) satisfy the linear function?
  30. AA.3 Identify independent and dependent variables
  31. AA.6 Evaluate a linear function
  32. AA.7 Complete a table for a linear function
  33. AA.8 Complete a table and graph a linear function
  34. AA.9 Interpret the graph of a linear function: word problems
  35. AA.10 Write a linear function from a table
  36. AA.11 Compare linear functions: graphs, tables and equations
  37. AA.12 Write linear functions: word problems
  38. AA.13 Interpret linear functions
  39. AA.14 Identify linear and nonlinear functions
  40. AA.15 Does (x, y) satisfy the nonlinear function?
  41. AA.16 Evaluate a nonlinear function
  42. AA.17 Find values using function graphs
  43. AA.18 Complete a table for a function graph

Third-year 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. O.4 Rate of travel: word problems
  16. O.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 slope of a graph
  35. T.3 Find the slope from two points
  36. T.5 Slope-intercept form: find the slope and y-intercept
  37. T.6 Slope-intercept form: graph an equation
  38. T.7 Slope-intercept form: write an equation from a graph
  39. T.8 Slope-intercept form: write an equation
  40. T.9 Slope-intercept form: write an equation from a table
  41. T.10 Slope-intercept form: write an equation 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-slope form: graph an equation
  52. T.21 Point-slope form: write an equation
  53. T.22 Point-slope form: write an equation from a graph
  54. T.23 Slopes 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 Solve a quadratic equation using square roots
  72. BB.4 Solve a quadratic equation using the zero product property
  73. BB.5 Solve a quadratic equation by factorising
  74. BB.6 Solve a quadratic equation using the quadratic formula
  75. CC.1 Identify linear, quadratic and exponential functions from graphs
  76. CC.2 Identify linear, quadratic and exponential functions from tables
  77. CC.3 Write linear, quadratic and exponential functions
  78. CC.4 Linear functions over unit intervals
  79. CC.5 Exponential functions over unit intervals
  80. CC.6 Describe linear and exponential growth and decay
  81. EE.1 Rational functions: asymptotes and excluded values
  82. EE.7 Solve rational equations

Transition year 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 slope of a graph
  13. F.3 Find the slope from two points
  14. F.5 Slope-intercept form: find the slope and y-intercept
  15. F.6 Slope-intercept form: graph an equation
  16. F.7 Slope-intercept form: write an equation from a graph
  17. F.8 Slope-intercept form: write an equation
  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-slope form: graph an equation
  29. F.20 Point-slope form: write an equation
  30. F.21 Point-slope form: write an equation from a graph
  31. F.22 Slopes 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 Solve a quadratic equation using square roots
  49. N.4 Solve a quadratic equation using the zero product property
  50. N.5 Solve a quadratic equation by factorising
  51. N.7 Solve a quadratic equation by completing the square
  52. N.8 Solve a quadratic equation using the quadratic formula
  53. N.9 Using the discriminant
  54. O.1 Identify linear, quadratic and exponential functions from graphs
  55. O.2 Identify linear, quadratic and exponential functions from tables
  56. O.3 Write linear, quadratic and exponential functions
  57. O.4 Linear functions over unit intervals
  58. O.5 Exponential functions over unit intervals
  59. O.6 Describe linear and exponential growth and decay
  60. Q.1 Rational functions: asymptotes and excluded values
  61. Q.7 Solve rational equations
  62. EE.2 Rate of travel: word problems
  63. EE.3 Weighted averages: word problems
  64. HH.6 Scatter plots: line of best fit

Fifth-year skills

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

Sixth-year 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. 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. G.1 Domain and range of radical functions
  40. G.2 Solve radical equations
  41. I.1 Solve simultaneous equations by graphing
  42. I.2 Solve simultaneous equations by graphing: word problems
  43. I.3 Classify simultaneous equations
  44. I.4 Solve simultaneous equations using substitution
  45. I.5 Solve simultaneous equations using substitution: word problems
  46. I.6 Solve simultaneous equations using elimination
  47. I.7 Solve simultaneous equations using elimination: word problems
  48. I.8 Solve simultaneous equations in three variables using substitution
  49. I.9 Solve simultaneous equations in three variables using elimination
  50. I.10 Determine the number of solutions to simultaneous equations in three variables
  51. M.1 Find properties of sine functions
  52. M.5 Find properties of cosine functions
  53. N.1 Complementary angle identities
  54. N.2 Symmetry and periodicity of trigonometric functions
  55. N.3 Trigonometric identities I
  56. N.4 Trigonometric identities II
  57. V.8 Find the equation of a regression line
  58. W.1 Find limits using graphs
  59. W.2 Find one-sided limits using graphs
  60. W.3 Determine if a limit exists
  61. X.1 Find limits using addition, subtraction and multiplication laws
  62. X.2 Find limits using the division law
  63. X.3 Find limits using power and root laws
  64. X.4 Find limits using limit laws
  65. X.5 Find limits of polynomials and rational functions
  66. X.6 Find limits involving factorisation and rationalisation
  67. X.7 Find limits involving absolute value functions
  68. X.8 Find limits involving trigonometric functions
  69. Y.1 Find limits at vertical asymptotes using graphs
  70. Y.2 Determine end behaviour using graphs
  71. Y.3 Determine end behaviour of polynomial and rational functions
  72. Z.1 Find the limit at a vertical asymptote of a rational function I
  73. Z.2 Find the limit at a vertical asymptote of a rational function II
  74. AA.1 Identify graphs of continuous functions
  75. AA.2 Determine continuity using graphs
  76. AA.3 Determine one-sided continuity using graphs
  77. AA.4 Find and analyse points of discontinuity using graphs
  78. AA.5 Determine continuity on an interval using graphs
  79. AA.6 Determine the continuity of a piecewise function at a point
  80. AA.7 Make a piecewise function continuous
  81. AA.8 Intermediate Value Theorem
  82. CC.1 Sum and difference rules
  83. CC.2 Product rule
  84. CC.3 Quotient rule
  85. CC.4 Power rule I
  86. CC.5 Power rule II
  87. CC.6 Chain rule
  88. CC.7 Inverse function rule
  89. DD.1 Find derivatives of polynomials I
  90. DD.2 Find derivatives of polynomials II
  91. DD.3 Find second derivatives of polynomials
  92. DD.4 Find derivatives of rational functions
  93. DD.5 Find derivatives of trigonometric functions I
  94. DD.6 Find derivatives of trigonometric functions II
  95. DD.7 Find derivatives of exponential functions
  96. DD.8 Find derivatives of logarithmic functions
  97. DD.9 Find derivatives of inverse trigonometric functions
  98. DD.10 Find derivatives of radical functions
  99. DD.11 Find derivatives using the product rule I
  100. DD.12 Find derivatives using the product rule II
  101. DD.13 Find derivatives using the quotient rule I
  102. DD.14 Find derivatives using the quotient rule II
  103. DD.15 Find derivatives using the chain rule I
  104. DD.16 Find derivatives using the chain rule II
  105. EE.1 Find derivatives using implicit differentiation
  106. EE.2 Find tangent lines using implicit differentiation
  107. EE.3 Find derivatives using logarithmic differentiation