Algebra

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

Year 8 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.6 Evaluate variable expressions for number sequences
  6. Q.7 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: complete the solution
  28. S.8 Solve equations: word problems
  29. T.1 Does (x, y) satisfy the equation?
  30. T.2 Identify independent and dependent variables
  31. T.3 Solve word problems involving two-variable equations
  32. T.4 Complete a table for a two-variable relationship
  33. T.5 Write a two-variable equation
  34. T.6 Identify the graph of an equation
  35. T.7 Graph a two-variable equation
  36. T.8 Interpret a graph: word problems
  37. T.9 Write an equation from a graph using a table

Year 9 skills

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

Year 10 skills

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

Year 11 skills

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

Year 12 skills

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

Year 13 skills

  1. C.3 Graph a quadratic function
  2. D.1 Divide polynomials using long division
  3. D.2 Divide polynomials using synthetic division
  4. D.3 Evaluate polynomials using synthetic division
  5. D.4 Write a polynomial from its roots
  6. D.5 Find the roots of factorised polynomials
  7. D.6 Rational root theorem
  8. D.7 Complex conjugate theorem
  9. D.8 Conjugate root theorems
  10. D.9 Descartes' Rule of Signs
  11. D.10 Fundamental Theorem of Algebra
  12. D.12 Factorise sums and differences of cubes
  13. D.13 Solve equations with sums and differences of cubes
  14. D.14 Factorise using a quadratic pattern
  15. D.15 Solve equations using a quadratic pattern
  16. D.16 Pascal's triangle
  17. D.17 Pascal's triangle and the Binomial Theorem
  18. D.18 Binomial Theorem I
  19. D.19 Binomial Theorem II
  20. F.2 Solve simultaneous equations by graphing: word problems
  21. F.5 Solve simultaneous equations using substitution: word problems
  22. F.8 Solve simultaneous equations in three variables using substitution
  23. F.9 Solve simultaneous equations in three variables using elimination
  24. F.10 Determine the number of solutions to simultaneous equations in three variables
  25. G.1 Solve systems of inequalities by graphing
  26. G.2 Find the vertices of a solution set
  27. G.3 Linear programming
  28. G.4 Graph solutions to quadratic inequalities
  29. G.5 Solve quadratic inequalities
  30. G.6 Graph solutions to higher-degree inequalities
  31. G.7 Solve higher-degree inequalities
  32. L.1 Add and subtract complex numbers
  33. L.2 Complex conjugates
  34. L.3 Multiply and divide complex numbers
  35. L.4 Add, subtract, multiply and divide complex numbers
  36. L.5 Absolute values of complex numbers
  37. L.6 Powers of i
  38. M.1 Introduction to the complex plane
  39. M.2 Graph complex numbers
  40. M.3 Addition in the complex plane
  41. M.4 Subtraction in the complex plane
  42. M.5 Graph complex conjugates
  43. M.6 Absolute value in the complex plane
  44. M.7 Midpoints in the complex plane
  45. M.8 Distance in the complex plane
  46. N.1 Find the modulus and argument of a complex number
  47. N.2 Convert complex numbers from rectangular to polar form
  48. N.3 Convert complex numbers from polar to rectangular form
  49. N.4 Convert complex numbers between rectangular and polar form