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 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.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 8 skills

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

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

Year 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. E.3 Identify solutions to inequalities
  13. E.4 Solve one-step linear inequalities: addition and subtraction
  14. E.5 Solve one-step linear inequalities: multiplication and division
  15. E.6 Solve one-step linear inequalities
  16. E.7 Graph solutions to one-step linear inequalities
  17. E.8 Solve two-step linear inequalities
  18. E.9 Graph solutions to two-step linear inequalities
  19. E.10 Solve advanced linear inequalities
  20. E.11 Graph solutions to advanced linear inequalities
  21. F.6 Evaluate a function
  22. F.8 Complete a function table from an equation
  23. F.9 Interpret the graph of a function: word problems
  24. G.1 Identify linear functions
  25. G.2 Find the gradient of a graph
  26. G.3 Find the gradient from two points
  27. G.5 Find the gradient and y-intercept of a linear equation
  28. G.6 Graph an equation in y=mx+c form
  29. G.7 Write an equation in y=mx+c form from a graph
  30. G.8 Write an equation in y=mx+c form
  31. G.9 Write an equation in y=mx+c form from a table
  32. G.10 Write an equation in y=mx+c form from a word problem
  33. G.11 Write linear functions to solve word problems
  34. G.12 Complete a table and graph a linear function
  35. G.14 Write equations in standard form
  36. G.15 Standard form: find x- and y-intercepts
  37. G.16 Standard form: graph an equation
  38. G.17 Equations of horizontal and vertical lines
  39. G.18 Graph a horizontal or vertical line
  40. G.19 Point-gradient form: graph an equation
  41. G.20 Point-gradient form: write an equation
  42. G.21 Point-gradient form: write an equation from a graph
  43. G.22 Gradients of parallel and perpendicular lines
  44. G.23 Write an equation for a parallel or perpendicular line
  45. H.1 Is (x, y) a solution to the simultaneous equations?
  46. H.2 Solve simultaneous equations by graphing
  47. H.3 Solve simultaneous equations by graphing: word problems
  48. H.4 Find the number of solutions to simultaneous equations by graphing
  49. H.5 Find the number of solutions to simultaneous equations
  50. H.6 Solve simultaneous equations using substitution
  51. H.7 Solve simultaneous equations using substitution: word problems
  52. H.8 Solve simultaneous equations using elimination
  53. H.9 Solve simultaneous equations using elimination: word problems
  54. H.10 Solve a system of equations using any method
  55. H.11 Solve a system of equations using any method: word problems
  56. I.1 Does (x, y) satisfy the inequality?
  57. I.2 Linear inequalities: solve for y
  58. I.3 Graph a linear inequality in the coordinate plane
  59. I.4 Linear inequalities: word problems
  60. I.5 Is (x, y) a solution to the system of inequalities?
  61. I.6 Solve systems of inequalities by graphing
  62. I.7 Find the vertices of a solution set
  63. I.8 Linear programming
  64. J.1 Matrix vocabulary
  65. J.2 Matrix operation rules
  66. J.3 Add and subtract matrices
  67. J.4 Multiply a matrix by a scalar
  68. J.5 Linear combinations of matrices
  69. J.6 Multiply two matrices
  70. J.7 Simplify matrix expressions
  71. J.8 Properties of matrices
  72. J.9 Solve matrix equations
  73. J.10 Determinant of a matrix
  74. J.11 Is a matrix invertible?
  75. J.12 Inverse of a matrix
  76. J.13 Identify inverse matrices
  77. J.14 Solve matrix equations using inverses
  78. K.4 Multiplication with exponents
  79. K.5 Division with exponents
  80. K.6 Multiplication and division with exponents
  81. K.7 Power rule
  82. N.1 Identify monomials
  83. N.2 Multiply monomials
  84. N.3 Divide monomials
  85. N.4 Multiply and divide monomials
  86. N.5 Powers of monomials
  87. O.1 Polynomial vocabulary
  88. O.2 Model polynomials with algebra tiles
  89. O.3 Add and subtract polynomials using algebra tiles
  90. O.4 Add and subtract polynomials
  91. O.5 Add polynomials to find perimeter
  92. O.6 Multiply a polynomial by a monomial
  93. O.7 Multiply two polynomials using algebra tiles
  94. O.8 Multiply two binomials
  95. O.9 Multiply two binomials: special cases
  96. O.10 Multiply polynomials
  97. O.11 Find the roots of factorised polynomials
  98. O.12 Write a polynomial from its roots
  99. O.13 Conjugate roots
  100. P.1 HCF of monomials
  101. P.2 Factorise out a monomial
  102. P.3 Factorise quadratics with leading coefficient 1
  103. P.4 Factorise quadratics with other leading coefficients
  104. P.5 Factorise quadratics: special cases
  105. P.6 Factorise quadratics using algebra tiles
  106. P.7 Factorise by grouping
  107. P.8 Factorise polynomials
  108. Q.1 Characteristics of quadratic functions
  109. Q.2 Complete a function table: quadratic functions
  110. Q.4 Find a quadratic function
  111. Q.5 Graph a quadratic function
  112. Q.7 Solve a quadratic equation using square roots
  113. Q.8 Solve a quadratic equation using the zero product property
  114. Q.9 Solve a quadratic equation by factorising
  115. Q.10 Complete the square
  116. Q.11 Solve a quadratic equation by completing the square
  117. Q.12 Solve a quadratic equation using the quadratic formula
  118. Q.13 Using the discriminant
  119. R.1 Identify linear, quadratic and exponential functions from graphs
  120. R.2 Identify linear, quadratic and exponential functions from tables
  121. R.3 Write linear, quadratic and exponential functions
  122. V.12 Domain and range of radical functions
  123. V.13 Solve radical equations
  124. W.1 Rational functions: asymptotes and excluded values
  125. W.3 Simplify rational expressions
  126. W.4 Multiply and divide rational expressions
  127. W.5 Divide polynomials
  128. W.6 Divide polynomials using synthetic division
  129. W.7 Add and subtract rational expressions
  130. W.8 Solve rational equations
  131. II.2 Rate of travel: word problems
  132. II.3 Weighted averages: word problems

Year 11 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 Solve absolute value equations
  9. C.10 Graph solutions to quadratic inequalities
  10. C.11 Solve quadratic inequalities
  11. D.1 Is (x, y) a solution to the simultaneous equations?
  12. D.2 Solve simultaneous equations by graphing
  13. D.3 Solve simultaneous equations by graphing: word problems
  14. D.4 Find the number of solutions to simultaneous equations
  15. D.5 Solve simultaneous equations using substitution
  16. D.6 Solve simultaneous equations using substitution: word problems
  17. D.7 Solve simultaneous equations using elimination
  18. D.8 Solve simultaneous equations using elimination: word problems
  19. D.9 Solve simultaneous equations using any method
  20. D.10 Solve simultaneous equations using any method: word problems
  21. E.1 Is (x, y) a solution to the system of inequalities?
  22. E.2 Solve systems of inequalities by graphing
  23. E.3 Find the vertices of a solution set
  24. E.4 Linear programming
  25. H.3 Graph a proportional relationship
  26. H.4 Write direct variation equations
  27. H.5 Write and solve direct variation equations
  28. I.1 Matrix vocabulary
  29. I.2 Matrix operation rules
  30. I.3 Add and subtract matrices
  31. I.4 Multiply a matrix by a scalar
  32. I.5 Linear combinations of matrices
  33. I.6 Multiply two matrices
  34. I.7 Simplify matrix expressions
  35. I.8 Properties of matrices
  36. I.9 Solve matrix equations
  37. I.10 Determinant of a matrix
  38. I.11 Is a matrix invertible?
  39. I.12 Inverse of a matrix
  40. I.13 Identify inverse matrices
  41. I.14 Solve matrix equations using inverses
  42. J.1 Introduction to complex numbers
  43. J.2 Add and subtract complex numbers
  44. J.3 Complex conjugates
  45. J.4 Multiply complex numbers
  46. J.5 Divide complex numbers
  47. J.6 Add, subtract, multiply and divide complex numbers
  48. J.7 Absolute values of complex numbers
  49. J.8 Powers of i
  50. K.1 Factorise out a monomial
  51. K.2 Factorise quadratics
  52. K.3 Factorise quadratics using algebra tiles
  53. K.4 Factorise using a quadratic pattern
  54. K.5 Factorise by grouping
  55. K.6 Factorise sums and differences of cubes
  56. K.7 Factorise polynomials
  57. L.1 Characteristics of quadratic functions
  58. L.2 Complete a function table: quadratic functions
  59. L.4 Find a quadratic function
  60. L.5 Graph a quadratic function
  61. L.7 Solve a quadratic equation using square roots
  62. L.8 Solve a quadratic equation using the zero product property
  63. L.9 Solve a quadratic equation by factorising
  64. L.10 Complete the square
  65. L.11 Solve a quadratic equation using the quadratic formula
  66. L.12 Using the discriminant
  67. M.1 Polynomial vocabulary
  68. M.2 Add and subtract polynomials
  69. M.3 Multiply polynomials
  70. M.4 Divide polynomials using long division
  71. M.5 Divide polynomials using synthetic division
  72. M.6 Evaluate polynomials using synthetic division
  73. M.7 Write a polynomial from its roots
  74. M.8 Find the roots of factorised polynomials
  75. M.9 Complex conjugate theorem
  76. M.10 Conjugate roots
  77. M.11 Descartes' Rule of Signs
  78. M.12 Fundamental Theorem of Algebra
  79. N.12 Domain and range of radical functions
  80. N.13 Solve radical equations
  81. P.1 Rational functions: asymptotes and excluded values
  82. P.2 Evaluate rational expressions I
  83. P.3 Evaluate rational expressions II
  84. P.4 Simplify rational expressions
  85. P.5 Multiply and divide rational expressions
  86. P.6 Add and subtract rational expressions
  87. P.7 Solve rational equations
  88. FF.5 Evaluate formulas for sequences
  89. FF.6 Write a formula for an arithmetic sequence
  90. FF.7 Write a formula for a geometric sequence

Year 12 skills

  1. A.7 Complete a function table: absolute value functions
  2. A.8 Graph an absolute value function
  3. C.3 Graph a quadratic function
  4. C.9 Using the discriminant
  5. D.1 Divide polynomials using long division
  6. D.2 Divide polynomials using synthetic division
  7. D.3 Evaluate polynomials using synthetic division
  8. D.4 Write a polynomial from its roots
  9. D.5 Find the roots of factorised polynomials
  10. D.6 Rational root theorem
  11. D.7 Complex conjugate theorem
  12. D.8 Conjugate root theorems
  13. D.9 Descartes' Rule of Signs
  14. D.10 Fundamental Theorem of Algebra
  15. D.12 Factorise sums and differences of cubes
  16. D.13 Solve equations with sums and differences of cubes
  17. D.14 Factorise using a quadratic pattern
  18. D.15 Solve equations using a quadratic pattern
  19. D.16 Pascal's triangle
  20. D.17 Pascal's triangle and the Binomial Theorem
  21. D.18 Binomial Theorem I
  22. D.19 Binomial Theorem II
  23. E.1 Rational functions: asymptotes and excluded values
  24. I.2 Solve simultaneous equations by graphing: word problems
  25. I.5 Solve simultaneous equations using substitution: word problems
  26. I.8 Solve simultaneous equations in three variables using substitution
  27. I.9 Solve simultaneous equations in three variables using elimination
  28. I.10 Determine the number of solutions to simultaneous equations in three variables
  29. J.1 Solve systems of inequalities by graphing
  30. J.2 Find the vertices of a solution set
  31. J.3 Linear programming
  32. J.4 Graph solutions to quadratic inequalities
  33. J.5 Solve quadratic inequalities
  34. J.6 Graph solutions to higher-degree inequalities
  35. J.7 Solve higher-degree inequalities
  36. K.1 Matrix vocabulary
  37. K.2 Matrix operation rules
  38. K.3 Add and subtract matrices
  39. K.4 Multiply a matrix by a scalar
  40. K.5 Linear combinations of matrices
  41. K.6 Multiply two matrices
  42. K.7 Simplify matrix expressions
  43. K.8 Solve matrix equations
  44. K.9 Determinant of a matrix
  45. K.10 Is a matrix invertible?
  46. K.11 Inverse of a matrix
  47. K.12 Identify inverse matrices
  48. K.13 Solve matrix equations using inverses
  49. K.14 Identify transformation matrices
  50. K.15 Transformation matrices: write the vertex matrix
  51. K.16 Transformation matrices: graph the image
  52. P.1 Add and subtract complex numbers
  53. P.2 Complex conjugates
  54. P.3 Multiply and divide complex numbers
  55. P.4 Add, subtract, multiply and divide complex numbers
  56. P.5 Absolute values of complex numbers
  57. P.6 Powers of i
  58. Q.1 Introduction to the complex plane
  59. Q.2 Graph complex numbers
  60. Q.3 Addition in the complex plane
  61. Q.4 Subtraction in the complex plane
  62. Q.5 Graph complex conjugates
  63. Q.6 Absolute value in the complex plane
  64. Q.7 Midpoints in the complex plane
  65. Q.8 Distance in the complex plane
  66. R.1 Find the modulus and argument of a complex number
  67. R.2 Convert complex numbers from rectangular to polar form
  68. R.3 Convert complex numbers from polar to rectangular form
  69. R.4 Convert complex numbers between rectangular and polar form