Algebra

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

Class VIII 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 Identify monomials
  38. X.2 Model polynomials with algebra tiles
  39. X.3 Add and subtract polynomials using algebra tiles
  40. X.4 Add and subtract polynomials
  41. X.5 Add polynomials to find perimeter
  42. X.6 Multiply monomials
  43. X.7 Divide monomials
  44. X.8 Multiply and divide monomials
  45. X.9 Powers of monomials
  46. X.10 Square and cube roots of monomials
  47. X.11 Multiply polynomials using algebra tiles
  48. X.12 Multiply polynomials
  49. X.13 Multiply polynomials to find area
  50. Y.1 HCF of monomials
  51. Y.2 Factorise out a monomial
  52. Y.3 Factorise quadratics with leading coefficient 1
  53. Y.4 Factorise quadratics with other leading coefficients
  54. Y.5 Factorise quadratics: special cases
  55. Y.6 Factorise quadratics using algebra tiles
  56. Y.7 Factorise by grouping
  57. Y.8 Factorise polynomials

Class IX skills

  1. B.3 Evaluate variable expressions involving integers
  2. B.7 Evaluate variable expressions involving rational numbers
  3. N.1 Model and solve equations using algebra tiles
  4. N.2 Write and solve equations that represent diagrams
  5. N.3 Solve one-step linear equations
  6. N.4 Solve two-step linear equations
  7. N.5 Solve advanced linear equations
  8. N.6 Solve equations with variables on both sides
  9. N.7 Solve equations: complete the solution
  10. N.8 Find the number of solutions
  11. N.9 Create equations with no solutions or infinitely many solutions
  12. N.10 Solve linear equations: word problems
  13. N.11 Solve linear equations: mixed review
  14. P.4 Rate of travel: word problems
  15. P.5 Weighted averages: word problems
  16. S.3 Graph a proportional relationship
  17. S.4 Write direct variation equations
  18. S.5 Write and solve direct variation equations
  19. T.1 Identify linear equations
  20. T.2 Find the slope of a graph
  21. T.3 Find the slope from two points
  22. T.5 Slope-intercept form: find the slope and y-intercept
  23. T.6 Slope-intercept form: graph an equation
  24. T.7 Slope-intercept form: write an equation from a graph
  25. T.8 Slope-intercept form: write an equation
  26. T.9 Slope-intercept form: write an equation from a table
  27. T.10 Slope-intercept form: write an equation from a word problem
  28. T.11 Linear equations: solve for y
  29. T.12 Write linear equations to solve word problems
  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. U.4 Multiplication with exponents
  38. U.5 Division with exponents
  39. U.6 Multiplication and division with exponents
  40. U.7 Power rule
  41. Y.1 Identify monomials
  42. Y.2 Multiply monomials
  43. Y.3 Divide monomials
  44. Y.4 Multiply and divide monomials
  45. Y.5 Powers of monomials
  46. Z.1 Polynomial vocabulary
  47. Z.2 Model polynomials with algebra tiles
  48. Z.3 Add and subtract polynomials using algebra tiles
  49. Z.4 Add and subtract polynomials
  50. Z.5 Add polynomials to find perimeter
  51. Z.6 Multiply a polynomial by a monomial
  52. Z.7 Multiply two polynomials using algebra tiles
  53. Z.8 Multiply two binomials
  54. Z.9 Multiply two binomials: special cases
  55. Z.10 Multiply polynomials
  56. Z.11 Write a polynomial from its roots
  57. Z.12 Find the roots of factorised polynomials
  58. AA.1 HCF of monomials
  59. AA.2 Factorise out a monomial
  60. AA.3 Factorise quadratics with leading coefficient 1
  61. AA.4 Factorise quadratics with other leading coefficients
  62. AA.5 Factorise quadratics: special cases
  63. AA.6 Factorise quadratics using algebra tiles
  64. AA.7 Factorise by grouping
  65. AA.8 Factorise polynomials
  66. BB.1 Characteristics of quadratic equations
  67. BB.2 Complete a table: quadratic equations
  68. BB.3 Solve a quadratic equation using square roots
  69. BB.4 Solve a quadratic equation using the zero product property
  70. BB.5 Solve a quadratic equation by factorising
  71. BB.6 Solve a quadratic equation using the quadratic formula
  72. DD.2 Simplify rational expressions
  73. DD.3 Multiply and divide rational expressions
  74. DD.4 Divide polynomials
  75. DD.5 Add and subtract rational expressions
  76. DD.6 Solve rational equations

Class X skills

  1. B.3 Evaluate variable expressions involving integers
  2. B.7 Evaluate variable expressions involving rational numbers
  3. D.1 Identify linear equations
  4. D.2 Find the slope of a graph
  5. D.3 Find the slope from two points
  6. D.5 Slope-intercept form: find the slope and y-intercept
  7. D.6 Slope-intercept form: graph an equation
  8. D.7 Slope-intercept form: write an equation from a graph
  9. D.8 Slope-intercept form: write an equation
  10. D.9 Slope-intercept form: write an equation from a table
  11. D.10 Slope-intercept form: write an equation from a word problem
  12. D.11 Write linear equations to solve word problems
  13. D.13 Write equations in standard form
  14. D.14 Standard form: find x- and y-intercepts
  15. D.15 Standard form: graph an equation
  16. D.16 Equations of horizontal and vertical lines
  17. D.17 Graph a horizontal or vertical line
  18. D.18 Slopes of parallel and perpendicular lines
  19. D.19 Write an equation for a parallel or perpendicular line
  20. E.1 Is (x, y) a solution to the pair of equations?
  21. E.2 Solve a pair of equations by graphing
  22. E.3 Solve a pair of equations by graphing: word problems
  23. E.4 Find the number of solutions to a pair of equations by graphing
  24. E.5 Find the number of solutions to a pair of equations
  25. E.6 Solve a pair of equations using substitution
  26. E.7 Solve a pair of equations using substitution: word problems
  27. E.8 Solve a pair of equations using elimination
  28. E.9 Solve a pair of equations using elimination: word problems
  29. F.1 Matrix vocabulary
  30. F.2 Matrix operation rules
  31. F.3 Add and subtract matrices
  32. F.4 Multiply a matrix by a scalar
  33. F.5 Multiply two matrices
  34. G.2 Evaluate variable expressions for arithmetic sequences
  35. G.3 Write variable expressions for arithmetic sequences
  36. H.1 Polynomial vocabulary
  37. H.2 Model polynomials with algebra tiles
  38. H.3 Add and subtract polynomials using algebra tiles
  39. H.4 Add and subtract polynomials
  40. H.5 Add polynomials to find perimeter
  41. H.6 Multiply and divide monomials
  42. H.7 Powers of monomials
  43. H.8 Multiply a polynomial by a monomial
  44. H.9 Multiply two polynomials using algebra tiles
  45. H.10 Multiply two binomials
  46. H.11 Multiply two binomials: special cases
  47. H.12 Multiply polynomials
  48. I.1 HCF of monomials
  49. I.2 Factorise out a monomial
  50. I.3 Factorise quadratics with leading coefficient 1
  51. I.4 Factorise quadratics with other leading coefficients
  52. I.5 Factorise quadratics: special cases
  53. I.6 Factorise quadratics using algebra tiles
  54. I.7 Factorise by grouping
  55. I.8 Factorise polynomials
  56. J.1 Characteristics of quadratic equations
  57. J.2 Complete a table: quadratic equations
  58. J.3 Solve a quadratic equation using square roots
  59. J.4 Solve a quadratic equation using the zero product property
  60. J.5 Solve a quadratic equation by factorising
  61. J.6 Complete the square
  62. J.7 Solve a quadratic equation by completing the square
  63. J.8 Solve a quadratic equation using the quadratic formula
  64. J.9 Using the discriminant
  65. J.10 Graph a quadratic equation
  66. K.2 Simplify rational expressions
  67. K.3 Multiply and divide rational expressions
  68. K.4 Divide polynomials
  69. K.5 Add and subtract rational expressions
  70. K.6 Solve rational equations
  71. V.2 Rate of travel: word problems
  72. V.3 Weighted averages: word problems

Class XI skills

  1. B.3 Identify solutions to inequalities
  2. B.4 Solve one-step linear inequalities: addition and subtraction
  3. B.5 Solve one-step linear inequalities: multiplication and division
  4. B.6 Solve one-step linear inequalities
  5. B.7 Graph solutions to one-step linear inequalities
  6. B.8 Solve two-step linear inequalities
  7. B.9 Graph solutions to two-step linear inequalities
  8. B.10 Solve advanced linear inequalities
  9. B.11 Graph solutions to advanced linear inequalities
  10. B.14 Solve compound inequalities
  11. B.15 Graph solutions to compound inequalities
  12. B.16 Graph solutions to quadratic inequalities
  13. B.17 Solve quadratic inequalities
  14. C.7 Evaluate a function
  15. C.8 Evaluate a function: plug in an expression
  16. C.10 Complete a function table from an equation
  17. C.11 Interpret the graph of a function: word problems
  18. D.1 Find the slope of a graph
  19. D.2 Find the slope from two points
  20. D.4 Slope-intercept form: find the slope and y-intercept
  21. D.5 Slope-intercept form: graph an equation
  22. D.6 Slope-intercept form: write an equation from a graph
  23. D.7 Slope-intercept form: write an equation
  24. D.8 Slope-intercept form: write an equation from a table
  25. D.9 Slope-intercept form: write an equation from a word problem
  26. D.10 Write linear functions to solve word problems
  27. D.11 Complete a table and graph a linear function
  28. D.12 Write equations in standard form
  29. D.13 Standard form: find x- and y-intercepts
  30. D.14 Standard form: graph an equation
  31. D.15 Equations of horizontal and vertical lines
  32. D.16 Graph a horizontal or vertical line
  33. D.17 Slopes of parallel and perpendicular lines
  34. D.18 Write an equation for a parallel or perpendicular line
  35. E.1 Does (x, y) satisfy the inequality?
  36. E.2 Linear inequalities: solve for y
  37. E.3 Graph a linear inequality in the coordinate plane
  38. E.4 Linear inequalities: word problems
  39. E.5 Is (x, y) a solution to the system of inequalities?
  40. E.6 Solve systems of linear inequalities by graphing
  41. E.7 Solve systems of linear and absolute value inequalities by graphing
  42. F.1 Introduction to complex numbers
  43. F.2 Add and subtract complex numbers
  44. F.3 Complex conjugates
  45. F.4 Multiply complex numbers
  46. F.5 Divide complex numbers
  47. F.6 Add, subtract, multiply and divide complex numbers
  48. F.7 Absolute values of complex numbers
  49. F.8 Powers of i
  50. G.1 Introduction to the Argand plane
  51. G.2 Graph complex numbers
  52. G.3 Addition in the Argand plane
  53. G.4 Subtraction in the Argand plane
  54. G.5 Graph complex conjugates
  55. G.6 Absolute value in the Argand plane
  56. G.7 Midpoints in the Argand plane
  57. G.8 Distance in the Argand plane
  58. H.1 Factorise out a monomial
  59. H.2 Factorise quadratic polynomials
  60. H.3 Factorise quadratics using algebra tiles
  61. H.4 Factorise using a quadratic pattern
  62. H.5 Factorise by grouping
  63. H.6 Factorise sums and differences of cubes
  64. H.7 Factorise polynomials
  65. I.1 Characteristics of quadratic functions
  66. I.2 Complete a function table: quadratic functions
  67. I.3 Find a quadratic function
  68. I.4 Graph a quadratic function
  69. I.6 Solve a quadratic equation using square roots
  70. I.7 Solve a quadratic equation using the zero product property
  71. I.8 Solve a quadratic equation by factorising
  72. I.9 Complete the square
  73. I.10 Solve a quadratic equation using the quadratic formula
  74. I.11 Using the discriminant
  75. J.1 Polynomial vocabulary
  76. J.2 Add and subtract polynomials
  77. J.3 Multiply polynomials
  78. J.4 Divide polynomials using long division
  79. J.5 Divide polynomials using synthetic division
  80. J.6 Evaluate polynomials using synthetic division
  81. J.7 Solve polynomial equations
  82. J.8 Write a polynomial from its roots
  83. J.9 Find the roots of factorised polynomials
  84. J.10 Rational root theorem
  85. J.11 Complex conjugate theorem
  86. J.12 Conjugate root theorems
  87. J.14 Fundamental Theorem of Algebra
  88. J.15 Pascal's triangle
  89. J.16 Pascal's triangle and the Binomial Theorem
  90. J.17 Binomial Theorem I
  91. J.18 Binomial Theorem II
  92. O.1 Rational functions: asymptotes and excluded values
  93. O.2 Evaluate rational expressions I
  94. O.3 Evaluate rational expressions II
  95. O.4 Simplify rational expressions
  96. O.5 Multiply and divide rational expressions
  97. O.6 Add and subtract rational expressions
  98. O.7 Solve rational equations
  99. U.4 Rate of travel: word problems
  100. U.5 Weighted averages: word problems
  101. W.5 Evaluate formulas for sequences
  102. W.6 Write a formula for an arithmetic sequence
  103. W.7 Write a formula for a geometric sequence

Class XII skills

  1. C.1 Divide polynomials using long division
  2. C.2 Divide polynomials using synthetic division
  3. C.3 Evaluate polynomials using synthetic division
  4. C.4 Write a polynomial from its roots
  5. C.5 Find the roots of factorised polynomials
  6. C.6 Rational root theorem
  7. C.7 Complex conjugate theorem
  8. C.8 Conjugate root theorems
  9. C.9 Descartes' Rule of Signs
  10. C.10 Fundamental Theorem of Algebra
  11. C.12 Factorise sums and differences of cubes
  12. C.13 Solve equations with sums and differences of cubes
  13. C.14 Factorise using a quadratic pattern
  14. C.15 Solve equations using a quadratic pattern
  15. C.16 Pascal's triangle
  16. C.17 Pascal's triangle and the Binomial Theorem
  17. C.18 Binomial Theorem I
  18. C.19 Binomial Theorem II
  19. D.1 Solve systems of linear inequalities by graphing
  20. D.2 Solve systems of linear and absolute value inequalities by graphing
  21. D.3 Find the vertices of a solution set
  22. D.4 Linear programming
  23. E.1 Graph solutions to quadratic inequalities
  24. E.2 Solve quadratic inequalities
  25. E.3 Graph solutions to higher-degree inequalities
  26. E.4 Solve higher-degree inequalities
  27. F.1 Matrix vocabulary
  28. F.2 Matrix operation rules
  29. F.3 Add and subtract matrices
  30. F.4 Multiply a matrix by a scalar
  31. F.5 Linear combinations of matrices
  32. F.6 Multiply two matrices
  33. F.7 Simplify matrix expressions
  34. F.8 Solve matrix equations
  35. F.9 Determinant of a matrix
  36. F.10 Is a matrix invertible?
  37. F.11 Inverse of a 2 x 2 matrix
  38. F.12 Inverse of a 3 x 3 matrix
  39. F.13 Identify inverse matrices
  40. F.14 Solve matrix equations using inverses
  41. K.1 Add and subtract complex numbers
  42. K.2 Complex conjugates
  43. K.3 Multiply and divide complex numbers
  44. K.4 Add, subtract, multiply and divide complex numbers
  45. K.5 Absolute values of complex numbers
  46. K.6 Powers of i
  47. L.1 Introduction to the Argand plane
  48. L.2 Graph complex numbers
  49. L.3 Addition in the Argand plane
  50. L.4 Subtraction in the Argand plane
  51. L.5 Graph complex conjugates
  52. L.6 Absolute value in the Argand plane
  53. L.7 Midpoints in the Argand plane
  54. L.8 Distance in the Argand plane
  55. M.1 Find the modulus and argument of a complex number
  56. M.2 Convert complex numbers from rectangular to polar form
  57. M.3 Convert complex numbers from polar to rectangular form
  58. M.4 Convert complex numbers between rectangular and polar form