Algebra

Here is a list of all of the skills that cover algebra! These skills are organised by grade, 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 algebra! To start practising, just click on any link.

Grade 7 skills

  1. I.3 Solve equations with variable exponents
  2. K.2 Write equations for proportional relationships from tables
  3. K.5 Write equations for proportional relationships from graphs
  4. K.7 Interpret graphs of proportional relationships
  5. Q.10 Evaluate variable expressions for number sequences
  6. Q.11 Write variable expressions for arithmetic sequences
  7. R.1 Write variable expressions
  8. R.2 Write variable expressions: word problems
  9. R.3 Evaluate linear expressions
  10. R.4 Evaluate multi-variable expressions
  11. R.5 Evaluate absolute value expressions
  12. R.6 Evaluate nonlinear expressions
  13. R.7 Identify terms and coefficients
  14. R.8 Sort factors of expressions
  15. R.11 Solve equations using properties
  16. R.12 Write equivalent expressions using properties
  17. R.13 Add and subtract like terms
  18. R.14 Add, subtract and multiply linear expressions
  19. R.15 Factors of linear expressions
  20. R.16 Identify equivalent linear expressions
  21. S.1 Which x satisfies an equation?
  22. S.2 Write an equation from words
  23. S.3 Model and solve equations using algebra tiles
  24. S.4 Write and solve equations that represent diagrams
  25. S.5 Solve one-step equations
  26. S.6 Solve two-step equations
  27. S.7 Solve equations: word problems
  28. S.8 Solve equations involving like terms
  29. S.9 Solve equations: complete the solution
  30. T.1 Does (x, y) satisfy the equation?
  31. T.2 Identify independent and dependent variables
  32. T.3 Solve word problems involving two-variable equations
  33. T.4 Complete a table for a two-variable relationship
  34. T.5 Write a two-variable equation
  35. T.6 Identify the graph of an equation
  36. T.7 Graph a two-variable equation
  37. T.8 Interpret a graph: word problems
  38. T.9 Write an equation from a graph using a table

Grade 8 skills

  1. F.3 Solve equations with variable exponents
  2. F.9 Solve equations involving squares and square roots
  3. F.12 Solve equations involving cubes and cube roots
  4. I.2 Write equations for proportional relationships from tables
  5. I.5 Write equations for proportional relationships from graphs
  6. I.8 Interpret graphs of proportional relationships
  7. V.6 Evaluate variable expressions for number sequences
  8. V.7 Write variable expressions for arithmetic sequences
  9. W.1 Write variable expressions
  10. W.2 Write variable expressions from diagrams
  11. W.3 Write variable expressions: word problems
  12. W.4 Evaluate one-variable expressions
  13. W.5 Evaluate multi-variable expressions
  14. W.6 Evaluate absolute value expressions
  15. W.7 Evaluate radical expressions
  16. W.8 Evaluate rational expressions
  17. W.9 Identify terms and coefficients
  18. W.10 Sort factors of expressions
  19. W.13 Simplify variable expressions using properties
  20. W.14 Add and subtract like terms
  21. W.15 Add, subtract and multiply linear expressions
  22. W.16 Factors of linear expressions
  23. W.17 Identify equivalent linear expressions
  24. X.1 Which x satisfies an equation?
  25. X.2 Write an equation from words
  26. X.3 Model and solve equations using algebra tiles
  27. X.4 Write and solve equations that represent diagrams
  28. X.6 Solve one-step equations
  29. X.7 Solve two-step equations
  30. X.8 Solve multi-step equations
  31. X.9 Solve equations involving like terms
  32. X.10 Solve equations with variables on both sides
  33. X.11 Solve equations: mixed review
  34. X.12 Solve equations: complete the solution
  35. Y.2 Does (x, y) satisfy the linear function?
  36. Y.3 Identify independent and dependent variables
  37. Y.6 Complete a table for a linear function
  38. Y.7 Complete a table and graph a linear function
  39. Y.8 Graph a line from an equation
  40. Y.9 Interpret the graph of a linear function: word problems
  41. Y.10 Write a linear function from a table
  42. Y.11 Write linear functions: word problems
  43. Z.1 Identify linear and nonlinear functions
  44. Z.2 Does (x, y) satisfy the nonlinear function?
  45. AA.1 Identify monomials
  46. AA.2 Model polynomials with algebra tiles
  47. AA.3 Add and subtract polynomials using algebra tiles
  48. AA.4 Add and subtract polynomials
  49. AA.5 Add polynomials to find perimeter
  50. AA.6 Multiply monomials
  51. AA.7 Divide monomials
  52. AA.8 Multiply and divide monomials
  53. AA.9 Powers of monomials
  54. AA.10 Square and cube roots of monomials

Grade 9 skills

  1. B.3 Evaluate variable expressions involving integers
  2. B.7 Evaluate variable expressions involving rational numbers
  3. I.3 Simplify variable expressions using properties
  4. J.1 Write variable expressions
  5. J.2 Simplify variable expressions involving like terms and the distributive property
  6. J.3 Identify equivalent linear expressions
  7. J.4 Write variable equations
  8. J.5 Does x satisfy the equation?
  9. J.6 Solve equations using order of operations
  10. K.1 Model and solve equations using algebra tiles
  11. K.2 Write and solve equations that represent diagrams
  12. K.3 Solve one-step linear equations
  13. K.4 Solve two-step linear equations
  14. K.5 Solve advanced linear equations
  15. K.6 Solve equations with variables on both sides
  16. K.7 Solve equations: complete the solution
  17. K.8 Find the number of solutions
  18. K.9 Create equations with no solutions or infinitely many solutions
  19. K.10 Solve linear equations: word problems
  20. K.11 Solve linear equations: mixed review
  21. L.3 Identify solutions to inequalities
  22. L.4 Solve one-step linear inequalities: addition and subtraction
  23. L.5 Solve one-step linear inequalities: multiplication and division
  24. L.6 Solve one-step linear inequalities
  25. L.7 Graph solutions to one-step linear inequalities
  26. L.8 Solve two-step linear inequalities
  27. L.9 Graph solutions to two-step linear inequalities
  28. L.10 Solve advanced linear inequalities
  29. L.11 Graph solutions to advanced linear inequalities
  30. N.4 Evaluate variable expressions for number sequences
  31. N.5 Write variable expressions for arithmetic sequences
  32. N.6 Write variable expressions for geometric sequences
  33. O.6 Evaluate a function
  34. O.7 Evaluate a function: plug in an expression
  35. O.9 Complete a function table from an equation
  36. O.10 Interpret the graph of a function: word problems
  37. P.3 Graph a proportional relationship
  38. P.4 Write direct variation equations
  39. P.5 Write and solve direct variation equations
  40. P.6 Identify direct variation and inverse variation
  41. P.7 Write inverse variation equations
  42. P.8 Write and solve inverse variation equations
  43. Q.1 Identify linear functions
  44. Q.2 Find the gradient of a graph
  45. Q.3 Find the gradient from two points
  46. Q.5 Find the gradient and y-intercept of a linear equation
  47. Q.6 Graph an equation in y=mx+c form
  48. Q.7 Write an equation in y=mx+c form from a graph
  49. Q.8 Write an equation in y=mx+c form
  50. Q.9 Write an equation in y=mx+c form from a table
  51. Q.10 Write an equation in y=mx+c form from a word problem
  52. Q.11 Linear equations: solve for y
  53. Q.12 Write linear functions to solve word problems
  54. Q.13 Complete a table and graph a linear function
  55. Q.15 Write equations in standard form
  56. Q.16 Standard form: find x- and y-intercepts
  57. Q.17 Standard form: graph an equation
  58. Q.18 Equations of horizontal and vertical lines
  59. Q.19 Graph a horizontal or vertical line
  60. Q.20 Point-gradient form: graph an equation
  61. Q.21 Point-gradient form: write an equation
  62. Q.22 Point-gradient form: write an equation from a graph
  63. Q.23 Gradients of parallel and perpendicular lines
  64. Q.24 Write an equation for a parallel or perpendicular line
  65. R.1 Is (x, y) a solution to the simultaneous equations?
  66. R.2 Solve simultaneous equations by graphing
  67. R.3 Solve simultaneous equations by graphing: word problems
  68. R.4 Find the number of solutions to simultaneous equations by graphing
  69. R.5 Find the number of solutions to simultaneous equations
  70. R.6 Solve simultaneous equations using substitution
  71. R.7 Solve simultaneous equations using substitution: word problems
  72. R.8 Solve simultaneous equations using elimination
  73. R.9 Solve simultaneous equations using elimination: word problems
  74. S.4 Multiplication with exponents
  75. S.5 Division with exponents
  76. S.6 Multiplication and division with exponents
  77. S.7 Power rule
  78. U.1 Identify monomials
  79. U.2 Multiply monomials
  80. U.3 Divide monomials
  81. U.4 Multiply and divide monomials
  82. U.5 Powers of monomials
  83. V.1 Polynomial vocabulary
  84. V.2 Model polynomials with algebra tiles
  85. V.3 Add and subtract polynomials using algebra tiles
  86. V.4 Add and subtract polynomials
  87. V.5 Add polynomials to find perimeter
  88. V.6 Multiply a polynomial by a monomial
  89. V.7 Multiply two polynomials using algebra tiles
  90. V.8 Multiply two binomials
  91. V.9 Multiply two binomials: special cases
  92. V.10 Multiply polynomials
  93. W.1 HCF of monomials
  94. W.2 Factorise out a monomial
  95. W.3 Factorise quadratics with leading coefficient 1
  96. W.4 Factorise quadratics with other leading coefficients
  97. W.5 Factorise quadratics: perfect squares
  98. W.6 Factorise quadratics: differences of squares
  99. W.7 Factorise quadratics using algebra tiles
  100. W.8 Factorise by grouping
  101. W.9 Factorise polynomials
  102. Y.2 Simplify rational expressions
  103. Y.3 Multiply and divide rational expressions
  104. Y.4 Divide polynomials
  105. Y.5 Add and subtract rational expressions
  106. Y.6 Solve rational equations
  107. Z.4 Rate of travel: word problems
  108. Z.5 Weighted averages: word problems

Grade 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.9 Create equations with no solutions or infinitely many solutions
  10. D.10 Solve linear equations: word problems
  11. D.11 Solve linear equations: mixed review
  12. D.12 Solve literal equations
  13. E.3 Identify solutions to inequalities
  14. E.4 Solve one-step linear inequalities: addition and subtraction
  15. E.5 Solve one-step linear inequalities: multiplication and division
  16. E.6 Solve one-step linear inequalities
  17. E.7 Graph solutions to one-step linear inequalities
  18. E.8 Solve two-step linear inequalities
  19. E.9 Graph solutions to two-step linear inequalities
  20. E.10 Solve advanced linear inequalities
  21. E.11 Graph solutions to advanced linear inequalities
  22. F.5 Complete a function table from an equation
  23. F.7 Evaluate a function
  24. F.9 Interpret the graph of a function: word problems
  25. G.1 Identify linear functions
  26. G.2 Find the gradient of a graph
  27. G.3 Find the gradient from two points
  28. G.5 Find the gradient and y-intercept of a linear equation
  29. G.6 Graph an equation in y=mx+c form
  30. G.7 Write an equation in y=mx+c form from a graph
  31. G.8 Write an equation in y=mx+c form
  32. G.9 Write an equation in y=mx+c form from a table
  33. G.10 Write an equation in y=mx+c form from a word problem
  34. G.11 Write linear functions to solve word problems
  35. G.12 Complete a table and graph a linear function
  36. G.14 Write equations in standard form
  37. G.15 Standard form: find x- and y-intercepts
  38. G.16 Standard form: graph an equation
  39. G.17 Equations of horizontal and vertical lines
  40. G.18 Graph a horizontal or vertical line
  41. G.19 Point-gradient form: graph an equation
  42. G.20 Point-gradient form: write an equation
  43. G.21 Point-gradient form: write an equation from a graph
  44. G.22 Gradients of parallel and perpendicular lines
  45. G.23 Write an equation for a parallel or perpendicular line
  46. H.1 Is (x, y) a solution to the simultaneous equations?
  47. H.2 Solve simultaneous equations by graphing
  48. H.3 Solve simultaneous equations by graphing: word problems
  49. H.4 Find the number of solutions to simultaneous equations by graphing
  50. H.5 Find the number of solutions to simultaneous equations
  51. H.6 Solve simultaneous equations using substitution
  52. H.7 Solve simultaneous equations using substitution: word problems
  53. H.8 Solve simultaneous equations using elimination
  54. H.9 Solve simultaneous equations using elimination: word problems
  55. H.10 Solve simultaneous equations using any method
  56. H.11 Solve simultaneous equations using any method: word problems
  57. I.4 Multiplication with exponents
  58. I.5 Division with exponents
  59. I.6 Multiplication and division with exponents
  60. I.7 Power rule
  61. K.4 Evaluate variable expressions for number sequences
  62. K.5 Write variable expressions for arithmetic sequences
  63. K.6 Write variable expressions for geometric sequences
  64. L.1 Identify monomials
  65. L.2 Multiply monomials
  66. L.3 Divide monomials
  67. L.4 Multiply and divide monomials
  68. L.5 Powers of monomials
  69. M.1 Polynomial vocabulary
  70. M.2 Model polynomials with algebra tiles
  71. M.3 Add and subtract polynomials using algebra tiles
  72. M.4 Add and subtract polynomials
  73. M.5 Add polynomials to find perimeter
  74. M.6 Multiply a polynomial by a monomial
  75. M.7 Multiply two polynomials using algebra tiles
  76. M.8 Multiply two binomials
  77. M.9 Multiply two binomials: special cases
  78. M.10 Multiply a binomial by a trinomial
  79. M.11 Multiply polynomials
  80. N.1 HCF of monomials
  81. N.2 Factorise out a monomial
  82. N.3 Factorise quadratics with leading coefficient 1
  83. N.4 Factorise quadratics with other leading coefficients
  84. N.5 Factorise quadratics: special cases
  85. N.6 Factorise quadratics using algebra tiles
  86. N.7 Factorise sums and differences of cubes
  87. N.8 Factorise by grouping
  88. N.9 Factorise polynomials
  89. O.1 Characteristics of quadratic functions
  90. O.2 Complete a function table: quadratic functions
  91. O.3 Solve a quadratic equation using square roots
  92. O.4 Solve a quadratic equation using the zero product property
  93. O.5 Solve a quadratic equation by factorising
  94. O.6 Complete the square
  95. O.7 Solve a quadratic equation by completing the square
  96. O.8 Solve a quadratic equation using the quadratic formula
  97. O.9 Using the discriminant
  98. P.1 Identify linear, quadratic and exponential functions from graphs
  99. P.2 Identify linear, quadratic and exponential functions from tables
  100. P.3 Write linear, quadratic and exponential functions
  101. S.1 Rational functions: asymptotes and excluded values
  102. S.3 Simplify rational expressions
  103. S.4 Multiply and divide rational expressions
  104. S.5 Divide polynomials
  105. S.6 Add and subtract rational expressions
  106. S.7 Solve rational equations
  107. CC.2 Rate of travel: word problems
  108. CC.3 Weighted averages: word problems

Grade 11 skills

  1. B.1 Is (x, y) a solution to the simultaneous equations?
  2. B.2 Solve simultaneous equations by graphing
  3. B.3 Solve simultaneous equations by graphing: word problems
  4. B.4 Find the number of solutions to simultaneous equations
  5. B.5 Solve simultaneous equations using substitution
  6. B.6 Solve simultaneous equations using substitution: word problems
  7. B.7 Solve simultaneous equations using elimination
  8. B.8 Solve simultaneous equations using elimination: word problems
  9. B.9 Solve simultaneous equations using any method
  10. B.10 Solve simultaneous equations using any method: word problems
  11. B.11 Solve non-linear simultaneous equations
  12. C.1 Introduction to complex numbers
  13. C.2 Add and subtract complex numbers
  14. C.3 Complex conjugates
  15. C.4 Multiply complex numbers
  16. C.5 Divide complex numbers
  17. C.6 Add, subtract, multiply and divide complex numbers
  18. C.7 Absolute values of complex numbers
  19. C.8 Powers of i
  20. D.1 Factorise out a monomial
  21. D.2 Factorise quadratics
  22. D.3 Factorise using a quadratic pattern
  23. D.4 Factorise by grouping
  24. D.5 Factorise sums and differences of cubes
  25. D.6 Factorise polynomials
  26. D.7 Factorise quadratics using algebra tiles
  27. E.1 Characteristics of quadratic functions
  28. E.2 Complete a function table: quadratic functions
  29. E.3 Find a quadratic function
  30. E.4 Graph a quadratic function
  31. E.6 Solve a quadratic equation using square roots
  32. E.7 Solve a quadratic equation using the zero product property
  33. E.8 Solve a quadratic equation by factorising
  34. E.9 Complete the square
  35. E.10 Solve a quadratic equation using the quadratic formula
  36. E.11 Using the discriminant
  37. F.1 Polynomial vocabulary
  38. F.2 Add and subtract polynomials
  39. F.3 Multiply polynomials
  40. F.4 Divide polynomials using long division
  41. F.5 Divide polynomials using synthetic division
  42. F.6 Evaluate polynomials using synthetic division
  43. F.7 Solve polynomial equations
  44. F.8 Write a polynomial from its roots
  45. F.9 Find the roots of factorised polynomials
  46. F.10 Rational root theorem
  47. F.11 Complex conjugate theorem
  48. F.12 Conjugate root theorems
  49. F.13 Descartes' Rule of Signs
  50. F.15 Fundamental Theorem of Algebra
  51. F.16 Pascal's triangle
  52. F.17 Pascal's triangle and the Binomial Theorem
  53. F.18 Binomial Theorem I
  54. F.19 Binomial Theorem II
  55. G.12 Domain and range of radical functions
  56. G.13 Solve radical equations
  57. I.1 Rational functions: asymptotes and excluded values
  58. I.2 Evaluate rational expressions I
  59. I.3 Evaluate rational expressions II
  60. I.4 Simplify rational expressions
  61. I.5 Multiply and divide rational expressions
  62. I.6 Add and subtract rational expressions
  63. I.7 Solve rational equations
  64. M.1 Write and solve direct variation equations
  65. M.2 Write and solve inverse variation equations
  66. M.3 Classify variation
  67. M.4 Write joint and combined variation equations I
  68. M.5 Find the constant of variation
  69. M.6 Write joint and combined variation equations II
  70. M.7 Solve variation equations
  71. W.4 Evaluate variable expressions for sequences
  72. W.5 Write variable expressions for arithmetic sequences
  73. W.6 Write variable expressions for geometric sequences