Functions and equations

Here is a list of all of the skills that cover functions and equations! These skills are organized by grade, and you can move your mouse over any skill name to preview the skill. To start practicing, 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 practicing, just click on any link.

Eighth-grade skills

  1. F.19 Solve equations using square roots
  2. F.21 Solve equations using cube roots
  3. I.2 Write equations for proportional relationships from tables
  4. I.5 Write equations for proportional relationships from graphs
  5. I.6 Identify proportional relationships from graphs and equations
  6. I.7 Identify proportional relationships from tables
  7. I.10 Write and solve equations for proportional relationships
  8. W.1 Which x satisfies an equation?
  9. W.2 Write an equation from words
  10. W.3 Model and solve equations using algebra tiles
  11. W.4 Write and solve equations that represent diagrams
  12. W.7 Solve one-step equations
  13. W.8 Solve two-step equations
  14. W.9 Solve multi-step equations
  15. W.10 Solve equations involving like terms
  16. W.11 Solve equations with variables on both sides
  17. W.12 Solve equations: mixed review
  18. W.13 Solve equations: complete the solution
  19. W.14 Solve equations: word problems
  20. W.15 Find the number of solutions
  21. Y.1 Find the slope of a graph
  22. Y.2 Find the slope from two points
  23. Y.4 Find the slope of a linear equation
  24. Y.5 Graph a line using slope
  25. Y.6 Graph a line from an equation in slope-intercept form
  26. Y.7 Write a linear equation from a slope and y-intercept
  27. Y.8 Write a linear equation from a graph
  28. Y.9 Write a linear equation from a slope and a point
  29. Y.10 Write a linear equation from two points
  30. Y.11 Convert a linear equation in standard form to slope-intercept form
  31. Y.12 Graph a line from an equation in standard form
  32. Y.13 Slopes of parallel and perpendicular lines
  33. Z.1 Identify functions
  34. Z.2 Does (x, y) satisfy the linear function?
  35. Z.3 Identify independent and dependent variables
  36. Z.7 Evaluate a linear function
  37. Z.8 Complete a table for a linear function
  38. Z.9 Complete a table and graph a linear function
  39. Z.10 Interpret the graph of a linear function: word problems
  40. Z.11 Write a linear function from a table
  41. Z.12 Compare linear functions: graphs and equations
  42. Z.13 Compare linear functions: tables, graphs, and equations
  43. Z.14 Write linear functions: word problems
  44. Z.15 Interpret linear functions
  45. Z.16 Identify linear and nonlinear functions: graphs and equations
  46. Z.17 Identify linear and nonlinear functions: tables
  47. Z.18 Does (x, y) satisfy the nonlinear function?
  48. Z.19 Evaluate a nonlinear function
  49. Z.20 Find values using function graphs
  50. Z.21 Complete a table for a function graph
  51. Z.22 Domain and range of functions
  52. AA.1 Is (x, y) a solution to the system of equations?
  53. AA.2 Solve a system of equations by graphing
  54. AA.3 Solve a system of equations by graphing: word problems
  55. AA.4 Find the number of solutions to a system of equations by graphing
  56. AA.5 Find the number of solutions to a system of equations
  57. AA.6 Classify a system of equations by graphing
  58. AA.7 Classify a system of equations
  59. AA.8 Solve a system of equations using substitution
  60. AA.9 Solve a system of equations using substitution: word problems
  61. AA.10 Solve a system of equations using elimination
  62. AA.11 Solve a system of equations using elimination: word problems
  63. DD.9 Scatter plots: line of best fit

Algebra 1 skills

  1. I.5 Write variable equations
  2. I.6 Does x satisfy the equation?
  3. I.7 Which x satisfies an equation?
  4. I.8 Solve equations using order of operations
  5. J.1 Model and solve equations using algebra tiles
  6. J.2 Write and solve equations that represent diagrams
  7. J.3 Solve one-step linear equations
  8. J.4 Solve two-step linear equations
  9. J.5 Solve advanced linear equations
  10. J.6 Solve equations with variables on both sides
  11. J.7 Solve equations: complete the solution
  12. J.8 Find the number of solutions
  13. J.10 Solve linear equations: word problems
  14. J.11 Solve linear equations: mixed review
  15. L.1 Solve absolute value equations
  16. L.2 Graph solutions to absolute value equations
  17. L.3 Solve absolute value inequalities
  18. L.4 Graph solutions to absolute value inequalities
  19. O.4 Rate of travel: word problems
  20. O.5 Weighted averages: word problems
  21. Q.1 Relations: convert between tables, graphs, mappings, and lists of points
  22. Q.2 Domain and range of relations
  23. Q.3 Identify independent and dependent variables
  24. Q.4 Identify functions
  25. Q.5 Identify functions: vertical line test
  26. Q.6 Find values using function graphs
  27. Q.7 Evaluate a function
  28. Q.8 Evaluate a function: plug in an expression
  29. Q.9 Complete a function table from a graph
  30. Q.10 Complete a function table from an equation
  31. Q.11 Interpret the graph of a function: word problems
  32. Q.12 Interpret functions using everyday language
  33. R.1 Identify proportional relationships
  34. R.2 Find the constant of variation
  35. R.3 Graph a proportional relationship
  36. R.4 Write direct variation equations
  37. R.5 Write and solve direct variation equations
  38. R.6 Identify direct variation and inverse variation
  39. R.7 Write inverse variation equations
  40. R.8 Write and solve inverse variation equations
  41. S.1 Identify linear functions from graphs and equations
  42. S.2 Identify linear functions from tables
  43. S.3 Find the slope of a graph
  44. S.4 Find the slope from two points
  45. S.6 Slope-intercept form: find the slope and y-intercept
  46. S.7 Slope-intercept form: graph an equation
  47. S.8 Slope-intercept form: write an equation from a graph
  48. S.9 Slope-intercept form: write an equation
  49. S.10 Slope-intercept form: write an equation from a table
  50. S.11 Slope-intercept form: write an equation from a word problem
  51. S.12 Linear equations: solve for y
  52. S.13 Write linear functions to solve word problems
  53. S.14 Complete a table and graph a linear function
  54. S.15 Compare linear functions: graphs and equations
  55. S.16 Compare linear functions: tables, graphs, and equations
  56. S.17 Write equations in standard form
  57. S.18 Standard form: find x- and y-intercepts
  58. S.19 Standard form: graph an equation
  59. S.20 Equations of horizontal and vertical lines
  60. S.21 Graph a horizontal or vertical line
  61. S.22 Point-slope form: graph an equation
  62. S.23 Point-slope form: write an equation
  63. S.24 Point-slope form: write an equation from a graph
  64. S.25 Slopes of parallel and perpendicular lines
  65. S.26 Write an equation for a parallel or perpendicular line
  66. S.27 Transformations of linear functions
  67. U.1 Is (x, y) a solution to the system of equations?
  68. U.2 Solve a system of equations by graphing
  69. U.3 Solve a system of equations by graphing: word problems
  70. U.4 Find the number of solutions to a system of equations by graphing
  71. U.5 Find the number of solutions to a system of equations
  72. U.6 Classify a system of equations by graphing
  73. U.7 Classify a system of equations
  74. U.8 Solve a system of equations using substitution
  75. U.9 Solve a system of equations using substitution: word problems
  76. U.10 Solve a system of equations using elimination
  77. U.11 Solve a system of equations using elimination: word problems
  78. U.12 Solve a system of equations using augmented matrices
  79. U.13 Solve a system of equations using augmented matrices: word problems
  80. U.14 Solve a system of equations using any method
  81. U.15 Solve a system of equations using any method: word problems
  82. X.1 Evaluate an exponential function
  83. X.2 Match exponential functions and graphs
  84. X.3 Domain and range of exponential functions: graphs
  85. X.4 Domain and range of exponential functions: equations
  86. BB.1 Characteristics of quadratic functions: graphs
  87. BB.2 Characteristics of quadratic functions: equations
  88. BB.3 Complete a function table: quadratic functions
  89. BB.4 Transformations of quadratic functions
  90. BB.5 Graph quadratic functions in vertex form
  91. BB.6 Solve a quadratic equation using square roots
  92. BB.7 Solve a quadratic equation using the zero product property
  93. BB.8 Solve a quadratic equation by factoring
  94. BB.10 Solve a quadratic equation by completing the square
  95. BB.11 Solve a quadratic equation using the quadratic formula
  96. BB.12 Using the discriminant
  97. BB.13 Match quadratic functions and graphs
  98. BB.14 Write a quadratic function from its vertex and another point
  99. BB.15 Systems of linear and quadratic equations
  100. CC.1 Identify linear, quadratic, and exponential functions from graphs
  101. CC.2 Identify linear, quadratic, and exponential functions from tables
  102. CC.3 Write linear, quadratic, and exponential functions
  103. CC.4 Linear functions over unit intervals
  104. CC.5 Exponential functions over unit intervals
  105. CC.6 Describe linear and exponential growth and decay
  106. DD.1 Complete a function table: absolute value functions
  107. DD.2 Graph an absolute value function
  108. DD.3 Domain and range of absolute value functions: graphs
  109. DD.4 Domain and range of absolute value functions: equations
  110. DD.5 Transformations of absolute value functions
  111. FF.1 Evaluate a radical function
  112. FF.2 Domain and range of radical functions: graphs
  113. FF.3 Domain and range of radical functions: equations
  114. FF.4 Solve radical equations I
  115. FF.5 Solve radical equations II
  116. GG.1 Rational functions: asymptotes and excluded values
  117. GG.8 Solve rational equations
  118. KK.12 Scatter plots: line of best fit
  119. KK.13 Find the equation of a regression line

Algebra 2 skills

  1. B.1 Solve linear equations
  2. B.2 Solve linear equations: word problems
  3. B.3 Solve equations: complete the solution
  4. B.4 Solve absolute value equations
  5. B.5 Graph solutions to absolute value equations
  6. C.7 Graph solutions to absolute value inequalities
  7. D.1 Domain and range
  8. D.2 Identify functions
  9. D.3 Evaluate functions
  10. D.4 Find values using function graphs
  11. D.5 Complete a table for a function graph
  12. D.6 Find the slope of a linear function
  13. D.7 Graph a linear function
  14. D.8 Write the equation of a linear function
  15. D.9 Linear functions over unit intervals
  16. D.10 Average rate of change
  17. D.11 Graph an absolute value function
  18. D.12 Domain and range of absolute value functions: graphs
  19. D.13 Domain and range of absolute value functions: equations
  20. D.14 Transformations of absolute value functions
  21. E.1 Is (x, y) a solution to the system of equations?
  22. E.2 Solve a system of equations by graphing
  23. E.3 Solve a system of equations by graphing: word problems
  24. E.7 Solve a system of equations using substitution: word problems
  25. E.8 Solve a system of equations using elimination
  26. E.9 Solve a system of equations using elimination: word problems
  27. E.10 Solve a system of equations using any method
  28. E.11 Solve a system of equations using any method: word problems
  29. E.12 Solve a system of equations in three variables using substitution
  30. E.13 Solve a system of equations in three variables using elimination
  31. E.14 Determine the number of solutions to a system of equations in three variables
  32. E.15 Solve a system of linear and quadratic equations
  33. E.16 Solve a non-linear system of equations
  34. G.18 Solve a system of equations using augmented matrices
  35. G.19 Solve a system of equations using augmented matrices: word problems
  36. J.1 Characteristics of quadratic functions: graphs
  37. J.2 Characteristics of quadratic functions: equations
  38. J.3 Complete a function table: quadratic functions
  39. J.4 Transformations of quadratic functions
  40. J.5 Graph a quadratic function
  41. J.6 Solve a quadratic equation using square roots
  42. J.7 Solve a quadratic equation using the zero product property
  43. J.8 Solve a quadratic equation by factoring
  44. J.9 Complete the square
  45. J.10 Solve a quadratic equation by completing the square
  46. J.11 Solve a quadratic equation using the quadratic formula
  47. J.12 Using the discriminant
  48. J.13 Match quadratic functions and graphs
  49. J.14 Write a quadratic function from its zeros
  50. J.15 Write a quadratic function from its vertex and another point
  51. K.7 Solve polynomial equations
  52. K.14 Match polynomials and graphs
  53. K.15 Domain and range of polynomials
  54. L.12 Domain and range of radical functions
  55. L.13 Solve radical equations
  56. N.1 Rational functions: asymptotes and excluded values
  57. N.7 Solve rational equations
  58. O.1 Add and subtract functions
  59. O.2 Multiply functions
  60. O.3 Divide functions
  61. O.4 Composition of linear functions: find a value
  62. O.5 Composition of linear functions: find an equation
  63. O.6 Composition of linear and quadratic functions: find a value
  64. O.7 Composition of linear and quadratic functions: find an equation
  65. O.8 Identify inverse functions
  66. O.9 Find values of inverse functions from tables
  67. O.10 Find values of inverse functions from graphs
  68. O.11 Find inverse functions and relations
  69. P.1 Function transformation rules
  70. P.2 Translations of functions
  71. P.3 Reflections of functions
  72. P.4 Dilations of functions
  73. P.5 Transformations of functions
  74. P.6 Describe function transformations
  75. S.9 Exponential functions over unit intervals
  76. S.11 Describe linear and exponential growth and decay
  77. Z.1 Find properties of sine functions
  78. Z.6 Find properties of cosine functions
  79. AA.1 Complementary angle identities
  80. AA.2 Symmetry and periodicity of trigonometric functions
  81. AA.3 Trigonometric identities I
  82. AA.4 Trigonometric identities II
  83. EE.6 Find the equation of a regression line

Precalculus 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 slope 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. A.10 Average rate of change
  11. A.11 Add, subtract, multiply, and divide functions
  12. A.12 Composition of functions
  13. A.13 Identify inverse functions
  14. A.14 Find values of inverse functions from tables
  15. A.15 Find values of inverse functions from graphs
  16. A.16 Find inverse functions and relations
  17. B.1 Function transformation rules
  18. B.2 Translations of functions
  19. B.3 Reflections of functions
  20. B.4 Dilations of functions
  21. B.5 Transformations of functions
  22. B.6 Describe function transformations
  23. C.1 Find the maximum or minimum value of a quadratic function
  24. C.2 Characteristics of quadratic functions
  25. C.3 Graph a quadratic function
  26. C.4 Match quadratic functions and graphs
  27. C.5 Solve a quadratic equation using square roots
  28. C.6 Solve a quadratic equation by factoring
  29. C.7 Solve a quadratic equation by completing the square
  30. C.8 Solve a quadratic equation using the quadratic formula
  31. C.9 Using the discriminant
  32. D.11 Match polynomials and graphs
  33. D.12 Domain and range of polynomials
  34. D.14 Solve equations with sums and differences of cubes
  35. D.16 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.13 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 a system of equations by graphing
  44. I.2 Solve a system of equations by graphing: word problems
  45. I.3 Classify a system of equations
  46. I.4 Solve a system of equations using substitution
  47. I.5 Solve a system of equations using substitution: word problems
  48. I.6 Solve a system of equations using elimination
  49. I.7 Solve a system of equations using elimination: word problems
  50. I.8 Solve a system of equations in three variables using substitution
  51. I.9 Solve a system of equations in three variables using elimination
  52. I.10 Determine the number of solutions to a system of equations in three variables
  53. N.1 Find properties of sine functions
  54. N.6 Find properties of cosine functions
  55. O.1 Complementary angle identities
  56. O.2 Symmetry and periodicity of trigonometric functions
  57. O.3 Trigonometric identities I
  58. O.4 Trigonometric identities II
  59. Z.8 Find the equation of a regression line

Calculus skills

  1. A.1 Find values of functions from graphs
  2. A.2 Add, subtract, multiply, and divide functions
  3. A.3 Composition of functions
  4. A.4 Identify inverse functions
  5. A.5 Find values of inverse functions from tables
  6. A.6 Find values of inverse functions from graphs
  7. A.7 Find inverse functions and relations
  8. B.1 Function transformation rules
  9. B.2 Translations of functions
  10. B.3 Reflections of functions
  11. B.4 Dilations of functions
  12. B.5 Transformations of functions
  13. B.6 Describe function transformations
  14. C.8 Find properties of sine functions
  15. C.12 Find properties of cosine functions
  16. D.9 Describe linear and exponential growth and decay
  17. E.1 Find limits using graphs
  18. E.2 Find one-sided limits using graphs
  19. E.3 Determine if a limit exists
  20. F.1 Find limits using addition, subtraction, and multiplication laws
  21. F.2 Find limits using the division law
  22. F.3 Find limits using power and root laws
  23. F.4 Find limits using limit laws
  24. F.5 Find limits of polynomials and rational functions
  25. F.6 Find limits involving factorization and rationalization
  26. F.7 Find limits involving absolute value functions
  27. F.8 Find limits involving trigonometric functions
  28. G.1 Find limits at vertical asymptotes using graphs
  29. G.2 Determine end behavior using graphs
  30. G.3 Determine end behavior of polynomial and rational functions
  31. H.1 Find the limit at a vertical asymptote of a rational function I
  32. H.2 Find the limit at a vertical asymptote of a rational function II
  33. I.1 Identify graphs of continuous functions
  34. I.2 Determine continuity using graphs
  35. I.3 Determine one-sided continuity using graphs
  36. I.4 Find and analyze points of discontinuity using graphs
  37. I.5 Determine continuity on an interval using graphs
  38. I.6 Determine the continuity of a piecewise function at a point
  39. I.7 Make a piecewise function continuous
  40. I.8 Intermediate Value Theorem
  41. J.1 Average rate of change I
  42. J.2 Average rate of change II
  43. J.3 Find instantaneous rates of change
  44. J.4 Velocity as a rate of change
  45. J.5 Find values of derivatives using limits
  46. J.6 Find the slope of a tangent line using limits
  47. J.7 Find equations of tangent lines using limits
  48. K.1 Sum and difference rules
  49. K.2 Product rule
  50. K.3 Quotient rule
  51. K.4 Power rule I
  52. K.5 Power rule II
  53. K.6 Chain rule
  54. K.7 Inverse function rule
  55. L.1 Find derivatives of polynomials
  56. L.2 Find derivatives of rational functions
  57. L.3 Find derivatives of trigonometric functions I
  58. L.4 Find derivatives of trigonometric functions II
  59. L.5 Find derivatives of exponential functions
  60. L.6 Find derivatives of logarithmic functions
  61. L.7 Find derivatives of inverse trigonometric functions
  62. L.8 Find derivatives of radical functions
  63. L.9 Find derivatives using the product rule I
  64. L.10 Find derivatives using the product rule II
  65. L.11 Find derivatives using the quotient rule I
  66. L.12 Find derivatives using the quotient rule II
  67. L.13 Find derivatives using the chain rule I
  68. L.14 Find derivatives using the chain rule II
  69. M.1 Find derivatives using implicit differentiation
  70. M.2 Find tangent lines using implicit differentiation
  71. M.3 Find derivatives using logarithmic differentiation
  72. N.1 Find higher derivatives of polynomials
  73. N.2 Find higher derivatives of rational and radical functions
  74. N.3 Find second derivatives of trigonometric, exponential, and logarithmic functions
  75. N.4 Find higher derivatives of exponential and trigonometric functions
  76. N.5 Find higher derivatives of logarithmic and power functions