Functions and equations

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

Class IX skills

  1. N.1 Model and solve equations using algebra tiles
  2. N.2 Write and solve equations that represent diagrams
  3. N.3 Solve one-step linear equations
  4. N.4 Solve two-step linear equations
  5. N.5 Solve advanced linear equations
  6. N.6 Solve equations with variables on both sides
  7. N.7 Solve equations: complete the solution
  8. N.8 Find the number of solutions
  9. N.10 Solve linear equations: word problems
  10. N.11 Solve linear equations: mixed review
  11. P.4 Rate of travel: word problems
  12. P.5 Weighted averages: word problems
  13. S.1 Identify proportional relationships
  14. S.2 Find the constant of variation
  15. S.3 Graph a proportional relationship
  16. S.4 Write direct variation equations
  17. S.5 Write and solve direct variation equations
  18. T.1 Identify linear equations
  19. T.2 Find the slope of a graph
  20. T.3 Find the slope from two points
  21. T.5 Slope-intercept form: find the slope and y-intercept
  22. T.6 Slope-intercept form: graph an equation
  23. T.7 Slope-intercept form: write an equation from a graph
  24. T.8 Slope-intercept form: write an equation
  25. T.9 Slope-intercept form: write an equation from a table
  26. T.10 Slope-intercept form: write an equation from a word problem
  27. T.11 Linear equations: solve for y
  28. T.12 Write linear equations to solve word problems
  29. T.13 Compare linear equations, graphs and tables
  30. T.14 Write equations in standard form
  31. T.15 Standard form: find x- and y-intercepts
  32. T.16 Standard form: graph an equation
  33. T.17 Equations of horizontal and vertical lines
  34. T.18 Graph a horizontal or vertical line
  35. T.19 Slopes of parallel and perpendicular lines
  36. T.20 Write an equation for a parallel or perpendicular line
  37. BB.1 Characteristics of quadratic equations
  38. BB.2 Complete a table: quadratic equations
  39. BB.3 Solve a quadratic equation using square roots
  40. BB.4 Solve a quadratic equation using the zero product property
  41. BB.5 Solve a quadratic equation by factorising
  42. BB.6 Solve a quadratic equation using the quadratic formula
  43. DD.6 Solve rational equations

Class X skills

  1. D.1 Identify linear equations
  2. D.2 Find the slope of a graph
  3. D.3 Find the slope from two points
  4. D.5 Slope-intercept form: find the slope and y-intercept
  5. D.6 Slope-intercept form: graph an equation
  6. D.7 Slope-intercept form: write an equation from a graph
  7. D.8 Slope-intercept form: write an equation
  8. D.9 Slope-intercept form: write an equation from a table
  9. D.10 Slope-intercept form: write an equation from a word problem
  10. D.11 Write linear equations to solve word problems
  11. D.12 Compare linear equations, graphs and tables
  12. D.13 Write equations in standard form
  13. D.14 Standard form: find x- and y-intercepts
  14. D.15 Standard form: graph an equation
  15. D.16 Equations of horizontal and vertical lines
  16. D.17 Graph a horizontal or vertical line
  17. D.18 Slopes of parallel and perpendicular lines
  18. D.19 Write an equation for a parallel or perpendicular line
  19. E.1 Is (x, y) a solution to the pair of equations?
  20. E.2 Solve a pair of equations by graphing
  21. E.3 Solve a pair of equations by graphing: word problems
  22. E.4 Find the number of solutions to a pair of equations by graphing
  23. E.5 Find the number of solutions to a pair of equations
  24. E.6 Solve a pair of equations using substitution
  25. E.7 Solve a pair of equations using substitution: word problems
  26. E.8 Solve a pair of equations using elimination
  27. E.9 Solve a pair of equations using elimination: word problems
  28. J.1 Characteristics of quadratic equations
  29. J.2 Complete a table: quadratic equations
  30. J.3 Solve a quadratic equation using square roots
  31. J.4 Solve a quadratic equation using the zero product property
  32. J.5 Solve a quadratic equation by factorising
  33. J.7 Solve a quadratic equation by completing the square
  34. J.8 Solve a quadratic equation using the quadratic formula
  35. J.9 Using the discriminant
  36. J.10 Graph a quadratic equation
  37. J.11 Match quadratic functions and graphs
  38. K.6 Solve rational equations
  39. V.2 Rate of travel: word problems
  40. V.3 Weighted averages: word problems

Class XI skills

  1. C.1 Relations: convert between tables, graphs, mappings and lists of points
  2. C.2 Domain and range of relations
  3. C.3 Identify independent and dependent variables
  4. C.4 Identify functions
  5. C.5 Identify functions: vertical line test
  6. C.6 Find values using function graphs
  7. C.7 Evaluate a function
  8. C.8 Evaluate a function: plug in an expression
  9. C.9 Complete a function table from a graph
  10. C.10 Complete a function table from an equation
  11. C.11 Interpret the graph of a function: word problems
  12. D.1 Find the slope of a graph
  13. D.2 Find the slope from two points
  14. D.4 Slope-intercept form: find the slope and y-intercept
  15. D.5 Slope-intercept form: graph an equation
  16. D.6 Slope-intercept form: write an equation from a graph
  17. D.7 Slope-intercept form: write an equation
  18. D.8 Slope-intercept form: write an equation from a table
  19. D.9 Slope-intercept form: write an equation from a word problem
  20. D.10 Write linear functions to solve word problems
  21. D.11 Complete a table and graph a linear function
  22. D.12 Write equations in standard form
  23. D.13 Standard form: find x- and y-intercepts
  24. D.14 Standard form: graph an equation
  25. D.15 Equations of horizontal and vertical lines
  26. D.16 Graph a horizontal or vertical line
  27. D.17 Slopes of parallel and perpendicular lines
  28. D.18 Write an equation for a parallel or perpendicular line
  29. D.19 Transformations of linear functions
  30. I.1 Characteristics of quadratic functions
  31. I.2 Complete a function table: quadratic functions
  32. I.3 Find a quadratic function
  33. I.4 Graph a quadratic function
  34. I.5 Match quadratic functions and graphs
  35. I.6 Solve a quadratic equation using square roots
  36. I.7 Solve a quadratic equation using the zero product property
  37. I.8 Solve a quadratic equation by factorising
  38. I.9 Complete the square
  39. I.10 Solve a quadratic equation using the quadratic formula
  40. I.11 Using the discriminant
  41. J.7 Solve polynomial equations
  42. J.13 Match polynomials and graphs
  43. O.1 Rational functions: asymptotes and excluded values
  44. O.7 Solve rational equations
  45. P.1 Add and subtract functions
  46. P.2 Multiply functions
  47. P.3 Divide functions
  48. P.4 Composition of linear functions: find a value
  49. P.5 Composition of linear functions: find an equation
  50. P.6 Composition of linear and quadratic functions: find a value
  51. P.7 Composition of linear and quadratic functions: find an equation
  52. S.1 Find properties of sine functions
  53. S.5 Find properties of cosine functions
  54. T.1 Complementary angle identities
  55. T.2 Symmetry and periodicity of trigonometric functions
  56. T.3 Trigonometric identities I
  57. T.4 Trigonometric identities II
  58. U.4 Rate of travel: word problems
  59. U.5 Weighted averages: word problems
  60. X.1 Find limits using graphs
  61. X.2 Find one-sided limits using graphs
  62. X.3 Determine if a limit exists
  63. Y.1 Find limits using addition, subtraction and multiplication laws
  64. Y.2 Find limits using the division law
  65. Y.3 Find limits using power and root laws
  66. Y.4 Find limits using limit laws
  67. Y.5 Find limits of polynomials and rational functions
  68. Y.6 Find limits involving factorisation and rationalisation
  69. Z.1 Find limits at vertical asymptotes using graphs
  70. Z.2 Determine end behaviour using graphs
  71. Z.3 Determine end behaviour of polynomial and rational functions
  72. AA.1 Find the limit at a vertical asymptote of a rational function I
  73. AA.2 Find the limit at a vertical asymptote of a rational function II
  74. BB.1 Identify graphs of continuous functions
  75. BB.2 Determine continuity using graphs
  76. BB.3 Determine one-sided continuity using graphs
  77. BB.4 Find and analyse points of discontinuity using graphs
  78. BB.5 Determine continuity on an interval using graphs
  79. BB.6 Determine the continuity of a piecewise function at a point
  80. BB.7 Make a piecewise function continuous
  81. BB.8 Intermediate Value Theorem
  82. DD.1 Sum and difference rules
  83. DD.2 Product rule
  84. DD.3 Quotient rule
  85. DD.4 Power rule I
  86. DD.5 Power rule II
  87. DD.6 Find derivatives of polynomials
  88. DD.7 Find derivatives of rational functions
  89. DD.8 Find derivatives of trigonometric functions I
  90. DD.9 Find derivatives of trigonometric functions II
  91. DD.10 Chain rule
  92. DD.11 Find derivatives of radical functions
  93. DD.12 Find derivatives using the product rule
  94. DD.13 Find derivatives using the quotient rule I
  95. DD.14 Find derivatives using the quotient rule II
  96. DD.15 Find derivatives using the chain rule I
  97. DD.16 Find derivatives using the chain rule II

Class XII 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 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.11 Match polynomials and graphs
  22. C.13 Solve equations with sums and differences of cubes
  23. C.15 Solve equations using a quadratic pattern
  24. H.1 Find properties of sine functions
  25. H.5 Find properties of cosine functions
  26. I.1 Complementary angle identities
  27. I.2 Symmetry and periodicity of trigonometric functions
  28. I.3 Trigonometric identities I
  29. I.4 Trigonometric identities II
  30. Q.1 Identify graphs of continuous functions
  31. Q.2 Determine continuity using graphs
  32. Q.3 Determine one-sided continuity using graphs
  33. Q.4 Find and analyse points of discontinuity using graphs
  34. Q.5 Determine continuity on an interval using graphs
  35. Q.6 Determine the continuity of a piecewise function at a point
  36. Q.7 Make a piecewise function continuous
  37. Q.8 Intermediate Value Theorem
  38. S.1 Sum and difference rules
  39. S.2 Product rule
  40. S.3 Quotient rule
  41. S.4 Power rule I
  42. S.5 Power rule II
  43. S.6 Chain rule
  44. S.7 Inverse function rule
  45. T.1 Find derivatives of polynomials
  46. T.2 Find derivatives of rational functions
  47. T.3 Find derivatives of trigonometric functions I
  48. T.4 Find derivatives of trigonometric functions II
  49. T.5 Find derivatives of exponential functions
  50. T.6 Find derivatives of logarithmic functions
  51. T.7 Find derivatives of inverse trigonometric functions
  52. T.8 Find derivatives of radical functions
  53. T.9 Find derivatives using the product rule I
  54. T.10 Find derivatives using the product rule II
  55. T.11 Find derivatives using the quotient rule I
  56. T.12 Find derivatives using the quotient rule II
  57. T.13 Find derivatives using the chain rule I
  58. T.14 Find derivatives using the chain rule II
  59. U.1 Find derivatives using implicit differentiation
  60. U.2 Find tangent lines using implicit differentiation
  61. U.3 Find derivatives using logarithmic differentiation
  62. V.1 Find higher derivatives of polynomials
  63. V.2 Find higher derivatives of rational and radical functions
  64. V.3 Find second derivatives of trigonometric, exponential and logarithmic functions
  65. V.4 Find higher derivatives using patterns
  66. Y.3 Find the equation of a regression line