Algebra

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

Sixth-grade skills

  1. D.4 Find the missing exponent or base
  2. Y.1 Write variable expressions: one operation
  3. Y.2 Write variable expressions: two operations
  4. Y.3 Write variable expressions: word problems
  5. Y.4 Evaluate variable expressions with whole numbers
  6. Y.5 Evaluate multi-variable expressions
  7. Y.6 Evaluate variable expressions with decimals, fractions, and mixed numbers
  8. Y.7 Identify terms and coefficients
  9. Y.8 Sort factors of variable expressions
  10. Y.11 Multiply using the distributive property
  11. Y.12 Factor using the distributive property
  12. Y.13 Solve for a variable using properties of multiplication
  13. Y.14 Write equivalent expressions using properties
  14. Y.15 Add and subtract like terms
  15. Y.16 Identify equivalent expressions I
  16. Y.17 Identify equivalent expressions II
  17. Z.1 Does x satisfy an equation?
  18. Z.2 Which x satisfies an equation?
  19. Z.3 Write an equation from words
  20. Z.4 Model and solve equations using algebra tiles
  21. Z.5 Write and solve equations that represent diagrams
  22. Z.6 Solve one-step equations with whole numbers
  23. Z.7 Solve one-step equations with decimals, fractions, and mixed numbers
  24. Z.8 Solve one-step equations: word problems
  25. Z.9 Solve two-step equations
  26. Z.10 Solve equations involving like terms
  27. Z.11 Solve equations involving integers
  28. AA.1 Solutions to inequalities
  29. AA.2 Graph inequalities on number lines
  30. AA.4 Solve one-step inequalities
  31. AA.5 Graph solutions to one-step inequalities
  32. BB.1 Does (x, y) satisfy an equation?
  33. BB.2 Identify independent and dependent variables
  34. BB.3 Find a value using two-variable equations
  35. BB.4 Find a value using two-variable equations: word problems
  36. BB.5 Solve word problems by finding two-variable equations
  37. BB.6 Complete a table for a two-variable relationship
  38. BB.7 Write a two-variable equation
  39. BB.8 Identify the graph of an equation
  40. BB.9 Graph a two-variable equation
  41. BB.11 Write an equation from a graph using a table

Seventh-grade skills

  1. I.3 Solve equations with variable exponents
  2. K.11 Write and solve equations for proportional relationships
  3. Q.6 Evaluate variable expressions for number sequences
  4. Q.7 Write variable expressions for arithmetic sequences
  5. R.1 Write variable expressions: one operation
  6. R.2 Write variable expressions: two or three operations
  7. R.3 Write variable expressions: word problems
  8. R.4 Evaluate linear expressions
  9. R.5 Evaluate multi-variable expressions
  10. R.6 Evaluate absolute value expressions
  11. R.7 Evaluate nonlinear expressions
  12. R.8 Identify terms and coefficients
  13. R.9 Sort factors of variable expressions
  14. R.12 Solve equations using properties
  15. R.13 Write equivalent expressions using properties
  16. R.14 Add and subtract linear expressions
  17. R.15 Add and subtract like terms: with exponents
  18. R.16 Factors of linear expressions
  19. R.17 Identify equivalent linear expressions I
  20. R.18 Identify equivalent linear expressions II
  21. R.19 Identify equivalent linear expressions: word problems
  22. S.1 Which x satisfies an equation?
  23. S.2 Write an equation from words
  24. S.3 Model and solve equations using algebra tiles
  25. S.4 Write and solve equations that represent diagrams
  26. S.5 Solve one-step equations
  27. S.6 Solve two-step equations
  28. S.7 Solve equations: word problems
  29. S.8 Solve equations involving like terms
  30. S.9 Solve equations: complete the solution
  31. T.1 Solutions to inequalities
  32. T.4 Solve one-step inequalities
  33. T.5 Graph solutions to one-step inequalities
  34. T.6 Solve two-step inequalities
  35. T.7 Graph solutions to two-step inequalities
  36. U.1 Does (x, y) satisfy the equation?
  37. U.2 Identify independent and dependent variables
  38. U.3 Find a value using two-variable equations
  39. U.4 Solve word problems involving two-variable equations
  40. U.5 Complete a table for a two-variable relationship
  41. U.6 Write a two-variable equation
  42. U.7 Identify the graph of an equation
  43. U.8 Graph a two-variable equation
  44. U.9 Interpret a graph: word problems
  45. U.10 Write an equation from a graph using a table
  46. V.1 Find the slope from a graph
  47. V.2 Find the slope from two points
  48. V.4 Find the slope from an equation
  49. V.5 Graph a line using slope
  50. V.7 Identify linear and nonlinear functions

Eighth-grade 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.19 Solve equations using square roots
  7. F.21 Solve equations using cube roots
  8. I.10 Write and solve equations for proportional relationships
  9. U.6 Evaluate variable expressions for number sequences
  10. U.7 Write variable expressions for arithmetic sequences
  11. V.1 Write variable expressions: one operation
  12. V.2 Write variable expressions: two or three operations
  13. V.3 Write variable expressions from diagrams
  14. V.4 Write variable expressions: word problems
  15. V.5 Evaluate one-variable expressions
  16. V.6 Evaluate multi-variable expressions
  17. V.7 Evaluate absolute value expressions
  18. V.8 Evaluate radical expressions
  19. V.9 Evaluate rational expressions
  20. V.10 Identify terms and coefficients
  21. V.11 Sort factors of variable expressions
  22. V.14 Write equivalent expressions using properties
  23. V.15 Add and subtract like terms
  24. V.16 Add, subtract, and multiply linear expressions
  25. V.17 Factors of linear expressions
  26. V.18 Identify equivalent linear expressions I
  27. V.19 Identify equivalent linear expressions II
  28. V.20 Identify equivalent linear expressions: word problems
  29. W.1 Which x satisfies an equation?
  30. W.2 Write an equation from words
  31. W.3 Model and solve equations using algebra tiles
  32. W.4 Write and solve equations that represent diagrams
  33. W.7 Solve one-step equations
  34. W.8 Solve two-step equations
  35. W.9 Solve multi-step equations
  36. W.10 Solve equations involving like terms
  37. W.11 Solve equations with variables on both sides
  38. W.12 Solve equations: mixed review
  39. W.13 Solve equations: complete the solution
  40. W.15 Find the number of solutions
  41. W.16 Create equations with no solutions or infinitely many solutions
  42. X.1 Solutions to inequalities
  43. X.4 Solve one-step inequalities
  44. X.5 Graph solutions to one-step inequalities
  45. X.6 Solve two-step inequalities
  46. X.7 Graph solutions to two-step inequalities
  47. X.8 Solve multi-step inequalities
  48. X.9 Graph solutions to multi-step inequalities
  49. Y.1 Find the slope of a graph
  50. Y.2 Find the slope from two points
  51. Y.4 Find the slope of a linear equation
  52. Y.5 Graph a line using slope
  53. Y.6 Graph a line from an equation in slope-intercept form
  54. Y.11 Convert a linear equation in standard form to slope-intercept form
  55. Y.12 Graph a line from an equation in standard form
  56. Y.13 Slopes of parallel and perpendicular lines
  57. Z.2 Does (x, y) satisfy the linear function?
  58. Z.3 Identify independent and dependent variables
  59. Z.7 Evaluate a linear function
  60. Z.8 Complete a table for a linear function
  61. Z.9 Complete a table and graph a linear function
  62. Z.10 Interpret the graph of a linear function: word problems
  63. Z.11 Write a linear function from a table
  64. Z.14 Write linear functions: word problems
  65. Z.15 Interpret linear functions
  66. Z.16 Identify linear and nonlinear functions: graphs and equations
  67. Z.17 Identify linear and nonlinear functions: tables
  68. Z.18 Does (x, y) satisfy the nonlinear function?
  69. Z.19 Evaluate a nonlinear function
  70. AA.1 Is (x, y) a solution to the system of equations?
  71. AA.2 Solve a system of equations by graphing
  72. AA.3 Solve a system of equations by graphing: word problems
  73. AA.4 Find the number of solutions to a system of equations by graphing
  74. AA.5 Find the number of solutions to a system of equations
  75. AA.6 Classify a system of equations by graphing
  76. AA.7 Classify a system of equations
  77. AA.8 Solve a system of equations using substitution
  78. AA.9 Solve a system of equations using substitution: word problems
  79. AA.10 Solve a system of equations using elimination
  80. AA.11 Solve a system of equations using elimination: word problems
  81. BB.1 Identify monomials
  82. BB.2 Model polynomials with algebra tiles
  83. BB.3 Add and subtract polynomials using algebra tiles
  84. BB.4 Add and subtract polynomials
  85. BB.5 Add polynomials to find perimeter
  86. BB.6 Multiply monomials
  87. BB.7 Divide monomials
  88. BB.8 Multiply and divide monomials
  89. BB.9 Powers of monomials
  90. BB.10 Square and cube roots of monomials
  91. BB.11 Multiply polynomials using algebra tiles
  92. BB.12 Multiply polynomials
  93. BB.13 Multiply polynomials to find area

Algebra 1 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 Sort factors of variable expressions
  6. I.3 Simplify variable expressions involving like terms and the distributive property
  7. I.4 Identify equivalent linear expressions
  8. I.5 Write variable equations
  9. I.6 Does x satisfy the equation?
  10. I.7 Which x satisfies an equation?
  11. I.8 Solve equations using order of operations
  12. I.9 Rearrange multi-variable equations
  13. J.1 Model and solve equations using algebra tiles
  14. J.2 Write and solve equations that represent diagrams
  15. J.3 Solve one-step linear equations
  16. J.4 Solve two-step linear equations
  17. J.5 Solve advanced linear equations
  18. J.6 Solve equations with variables on both sides
  19. J.7 Solve equations: complete the solution
  20. J.8 Find the number of solutions
  21. J.9 Create equations with no solutions or infinitely many solutions
  22. J.10 Solve linear equations: word problems
  23. J.11 Solve linear equations: mixed review
  24. K.3 Identify solutions to inequalities
  25. K.4 Solve one-step linear inequalities: addition and subtraction
  26. K.5 Solve one-step linear inequalities: multiplication and division
  27. K.6 Solve one-step linear inequalities
  28. K.7 Graph solutions to one-step linear inequalities
  29. K.8 Solve two-step linear inequalities
  30. K.9 Graph solutions to two-step linear inequalities
  31. K.10 Solve advanced linear inequalities
  32. K.11 Graph solutions to advanced linear inequalities
  33. K.14 Solve compound inequalities
  34. K.15 Graph solutions to compound inequalities
  35. L.1 Solve absolute value equations
  36. L.2 Graph solutions to absolute value equations
  37. L.3 Solve absolute value inequalities
  38. L.4 Graph solutions to absolute value inequalities
  39. M.1 Matrix vocabulary
  40. M.2 Matrix operation rules
  41. M.3 Add and subtract matrices
  42. M.4 Multiply a matrix by a scalar
  43. M.5 Add and subtract scalar multiples of matrices
  44. M.6 Multiply two matrices
  45. O.4 Rate of travel: word problems
  46. O.5 Weighted averages: word problems
  47. P.4 Evaluate variable expressions for number sequences
  48. P.6 Write variable expressions for arithmetic sequences
  49. P.7 Write variable expressions for geometric sequences
  50. Q.7 Evaluate a function
  51. Q.8 Evaluate a function: plug in an expression
  52. Q.10 Complete a function table from an equation
  53. Q.11 Interpret the graph of a function: word problems
  54. Q.12 Interpret functions using everyday language
  55. R.3 Graph a proportional relationship
  56. R.4 Write direct variation equations
  57. R.5 Write and solve direct variation equations
  58. R.6 Identify direct variation and inverse variation
  59. R.7 Write inverse variation equations
  60. R.8 Write and solve inverse variation equations
  61. S.1 Identify linear functions from graphs and equations
  62. S.2 Identify linear functions from tables
  63. S.3 Find the slope of a graph
  64. S.4 Find the slope from two points
  65. S.6 Slope-intercept form: find the slope and y-intercept
  66. S.7 Slope-intercept form: graph an equation
  67. S.8 Slope-intercept form: write an equation from a graph
  68. S.9 Slope-intercept form: write an equation
  69. S.10 Slope-intercept form: write an equation from a table
  70. S.11 Slope-intercept form: write an equation from a word problem
  71. S.12 Linear equations: solve for y
  72. S.13 Write linear functions to solve word problems
  73. S.14 Complete a table and graph a linear function
  74. S.17 Write equations in standard form
  75. S.18 Standard form: find x- and y-intercepts
  76. S.19 Standard form: graph an equation
  77. S.20 Equations of horizontal and vertical lines
  78. S.21 Graph a horizontal or vertical line
  79. S.22 Point-slope form: graph an equation
  80. S.23 Point-slope form: write an equation
  81. S.24 Point-slope form: write an equation from a graph
  82. S.25 Slopes of parallel and perpendicular lines
  83. S.26 Write an equation for a parallel or perpendicular line
  84. T.1 Does (x, y) satisfy the inequality?
  85. T.2 Linear inequalities: solve for y
  86. T.3 Graph a two-variable linear inequality
  87. T.4 Linear inequalities: word problems
  88. T.5 Is (x, y) a solution to the system of inequalities?
  89. T.6 Solve systems of linear inequalities by graphing
  90. U.1 Is (x, y) a solution to the system of equations?
  91. U.2 Solve a system of equations by graphing
  92. U.3 Solve a system of equations by graphing: word problems
  93. U.4 Find the number of solutions to a system of equations by graphing
  94. U.5 Find the number of solutions to a system of equations
  95. U.6 Classify a system of equations by graphing
  96. U.7 Classify a system of equations
  97. U.8 Solve a system of equations using substitution
  98. U.9 Solve a system of equations using substitution: word problems
  99. U.10 Solve a system of equations using elimination
  100. U.11 Solve a system of equations using elimination: word problems
  101. U.12 Solve a system of equations using augmented matrices
  102. U.13 Solve a system of equations using augmented matrices: word problems
  103. U.14 Solve a system of equations using any method
  104. U.15 Solve a system of equations using any method: word problems
  105. V.4 Multiplication with exponents
  106. V.5 Division with exponents
  107. V.6 Multiplication and division with exponents
  108. V.7 Power rule
  109. X.4 Domain and range of exponential functions: equations
  110. Y.1 Identify monomials
  111. Y.2 Multiply monomials
  112. Y.3 Divide monomials
  113. Y.4 Multiply and divide monomials
  114. Y.5 Powers of monomials
  115. Z.1 Polynomial vocabulary
  116. Z.2 Model polynomials with algebra tiles
  117. Z.3 Add and subtract polynomials using algebra tiles
  118. Z.4 Add and subtract polynomials
  119. Z.5 Add polynomials to find perimeter
  120. Z.6 Multiply a polynomial by a monomial
  121. Z.7 Multiply two polynomials using algebra tiles
  122. Z.8 Multiply two binomials
  123. Z.9 Multiply two binomials: special cases
  124. Z.10 Multiply polynomials
  125. AA.1 GCF of monomials
  126. AA.2 Factor out a monomial
  127. AA.3 Factor quadratics using algebra tiles
  128. AA.4 Factor quadratics with leading coefficient 1
  129. AA.5 Factor quadratics with other leading coefficients
  130. AA.6 Factor quadratics: special cases
  131. AA.7 Factor by grouping
  132. AA.8 Factor polynomials
  133. BB.1 Characteristics of quadratic functions: graphs
  134. BB.2 Characteristics of quadratic functions: equations
  135. BB.3 Complete a function table: quadratic functions
  136. BB.6 Solve a quadratic equation using square roots
  137. BB.7 Solve a quadratic equation using the zero product property
  138. BB.8 Solve a quadratic equation by factoring
  139. BB.9 Complete the square
  140. BB.10 Solve a quadratic equation by completing the square
  141. BB.11 Solve a quadratic equation using the quadratic formula
  142. BB.12 Using the discriminant
  143. BB.14 Write a quadratic function from its vertex and another point
  144. CC.1 Identify linear, quadratic, and exponential functions from graphs
  145. CC.2 Identify linear, quadratic, and exponential functions from tables
  146. CC.3 Write linear, quadratic, and exponential functions
  147. DD.1 Complete a function table: absolute value functions
  148. DD.2 Graph an absolute value function
  149. DD.4 Domain and range of absolute value functions: equations
  150. FF.1 Evaluate a radical function
  151. FF.3 Domain and range of radical functions: equations
  152. FF.4 Solve radical equations I
  153. FF.5 Solve radical equations II
  154. GG.1 Rational functions: asymptotes and excluded values
  155. GG.3 Simplify rational expressions
  156. GG.4 Multiply and divide rational expressions
  157. GG.5 Divide polynomials by monomials
  158. GG.6 Divide polynomials using long division
  159. GG.7 Add and subtract rational expressions
  160. GG.8 Solve rational equations
  161. GG.9 Evaluate rational expressions

Algebra 2 skills

  1. A.1 Evaluate variable expressions involving integers
  2. A.2 Evaluate variable expressions involving rational numbers
  3. A.3 Simplify variable expressions using properties
  4. A.4 Sort factors of single-variable expressions
  5. A.5 Sort factors of multi-variable expressions
  6. B.2 Solve linear equations: word problems
  7. B.3 Solve equations: complete the solution
  8. B.4 Solve absolute value equations
  9. B.5 Graph solutions to absolute value equations
  10. B.6 Solve multi-variable equations
  11. C.1 Graph a linear inequality in one variable
  12. C.2 Write inequalities from graphs
  13. C.3 Write a linear inequality: word problems
  14. C.4 Solve linear inequalities
  15. C.5 Graph solutions to linear inequalities
  16. C.6 Solve absolute value inequalities
  17. C.7 Graph solutions to absolute value inequalities
  18. C.8 Graph a two-variable linear inequality
  19. C.10 Graph solutions to quadratic inequalities
  20. C.11 Solve quadratic inequalities
  21. D.11 Graph an absolute value function
  22. D.13 Domain and range of absolute value functions: equations
  23. E.1 Is (x, y) a solution to the system of equations?
  24. E.2 Solve a system of equations by graphing
  25. E.3 Solve a system of equations by graphing: word problems
  26. E.4 Find the number of solutions to a system of equations
  27. E.5 Classify a system of equations
  28. E.6 Solve a system of equations using substitution
  29. E.7 Solve a system of equations using substitution: word problems
  30. E.8 Solve a system of equations using elimination
  31. E.9 Solve a system of equations using elimination: word problems
  32. E.10 Solve a system of equations using any method
  33. E.11 Solve a system of equations using any method: word problems
  34. E.12 Solve a system of equations in three variables using substitution
  35. E.13 Solve a system of equations in three variables using elimination
  36. E.14 Determine the number of solutions to a system of equations in three variables
  37. E.16 Solve a non-linear system of equations
  38. F.1 Is (x, y) a solution to the system of inequalities?
  39. F.2 Solve systems of linear inequalities by graphing
  40. F.3 Solve systems of linear and absolute value inequalities by graphing
  41. F.4 Find the vertices of a solution set
  42. F.5 Linear programming
  43. G.1 Matrix vocabulary
  44. G.2 Matrix operation rules
  45. G.3 Add and subtract matrices
  46. G.4 Multiply a matrix by a scalar
  47. G.5 Add and subtract scalar multiples of matrices
  48. G.6 Multiply two matrices
  49. G.7 Simplify matrix expressions
  50. G.8 Properties of matrices
  51. G.9 Solve matrix equations
  52. G.10 Determinant of a matrix
  53. G.11 Is a matrix invertible?
  54. G.12 Inverse of a matrix
  55. G.13 Identify inverse matrices
  56. G.14 Solve matrix equations using inverses
  57. G.15 Identify transformation matrices
  58. G.16 Transformation matrices: write the vertex matrix
  59. G.17 Transformation matrices: graph the image
  60. G.18 Solve a system of equations using augmented matrices
  61. G.19 Solve a system of equations using augmented matrices: word problems
  62. H.1 Introduction to complex numbers
  63. H.2 Add and subtract complex numbers
  64. H.3 Complex conjugates
  65. H.4 Multiply complex numbers
  66. H.5 Divide complex numbers
  67. H.6 Add, subtract, multiply, and divide complex numbers
  68. H.7 Absolute values of complex numbers
  69. H.8 Powers of i
  70. I.1 Factor out a monomial
  71. I.2 Factor quadratics using algebra tiles
  72. I.3 Factor quadratics
  73. I.4 Factor using a quadratic pattern
  74. I.5 Factor by grouping
  75. I.6 Factor sums and differences of cubes
  76. I.7 Factor polynomials
  77. J.1 Characteristics of quadratic functions: graphs
  78. J.2 Characteristics of quadratic functions: equations
  79. J.3 Complete a function table: quadratic functions
  80. J.5 Graph a quadratic function
  81. J.6 Solve a quadratic equation using square roots
  82. J.7 Solve a quadratic equation using the zero product property
  83. J.8 Solve a quadratic equation by factoring
  84. J.9 Complete the square
  85. J.10 Solve a quadratic equation by completing the square
  86. J.11 Solve a quadratic equation using the quadratic formula
  87. J.12 Using the discriminant
  88. J.14 Write a quadratic function from its zeros
  89. J.15 Write a quadratic function from its vertex and another point
  90. K.1 Polynomial vocabulary
  91. K.2 Add and subtract polynomials
  92. K.3 Multiply polynomials
  93. K.4 Divide polynomials using long division
  94. K.5 Divide polynomials using synthetic division
  95. K.6 Evaluate polynomials using synthetic division
  96. K.7 Solve polynomial equations
  97. K.8 Find the roots of factored polynomials
  98. K.9 Write a polynomial from its roots
  99. K.10 Rational root theorem
  100. K.11 Complex conjugate theorem
  101. K.12 Conjugate root theorems
  102. K.13 Descartes' Rule of Signs
  103. K.16 Fundamental Theorem of Algebra
  104. K.17 Pascal's triangle
  105. K.18 Pascal's triangle and the Binomial Theorem
  106. K.19 Binomial Theorem I
  107. K.20 Binomial Theorem II
  108. L.12 Domain and range of radical functions
  109. L.13 Solve radical equations
  110. N.1 Rational functions: asymptotes and excluded values
  111. N.2 Evaluate rational expressions I
  112. N.3 Evaluate rational expressions II
  113. N.4 Simplify rational expressions
  114. N.5 Multiply and divide rational expressions
  115. N.6 Add and subtract rational expressions
  116. N.7 Solve rational equations
  117. Q.1 Write and solve direct variation equations
  118. Q.2 Write and solve inverse variation equations
  119. Q.3 Classify variation
  120. Q.4 Write joint and combined variation equations I
  121. Q.5 Find the constant of variation
  122. Q.6 Write joint and combined variation equations II
  123. Q.7 Solve variation equations
  124. BB.3 Evaluate explicit formulas for sequences
  125. BB.6 Write a formula for an arithmetic sequence
  126. BB.7 Write a formula for a geometric sequence

Precalculus skills

  1. C.3 Graph a quadratic function
  2. C.8 Solve a quadratic equation using the quadratic formula
  3. C.9 Using the discriminant
  4. D.1 Divide polynomials using long division
  5. D.2 Divide polynomials using synthetic division
  6. D.3 Evaluate polynomials using synthetic division
  7. D.4 Find the roots of factored polynomials
  8. D.5 Write a polynomial from its roots
  9. D.6 Rational root theorem
  10. D.7 Complex conjugate theorem
  11. D.8 Conjugate root theorems
  12. D.9 Descartes' Rule of Signs
  13. D.10 Fundamental Theorem of Algebra
  14. D.13 Factor sums and differences of cubes
  15. D.14 Solve equations with sums and differences of cubes
  16. D.15 Factor using a quadratic pattern
  17. D.16 Solve equations using a quadratic pattern
  18. D.17 Pascal's triangle
  19. D.18 Pascal's triangle and the Binomial Theorem
  20. D.19 Binomial Theorem I
  21. D.20 Binomial Theorem II
  22. E.1 Rational functions: asymptotes and excluded values
  23. I.2 Solve a system of equations by graphing: word problems
  24. I.5 Solve a system of equations using substitution: word problems
  25. I.8 Solve a system of equations in three variables using substitution
  26. I.9 Solve a system of equations in three variables using elimination
  27. I.10 Determine the number of solutions to a system of equations in three variables
  28. J.1 Solve systems of linear inequalities by graphing
  29. J.2 Solve systems of linear and absolute value inequalities by graphing
  30. J.3 Find the vertices of a solution set
  31. J.4 Linear programming
  32. K.1 Graph solutions to quadratic inequalities
  33. K.2 Solve quadratic inequalities
  34. K.3 Graph solutions to higher-degree inequalities
  35. K.4 Solve higher-degree inequalities
  36. L.1 Matrix vocabulary
  37. L.2 Matrix operation rules
  38. L.3 Add and subtract matrices
  39. L.4 Multiply a matrix by a scalar
  40. L.5 Add and subtract scalar multiples of matrices
  41. L.6 Multiply two matrices
  42. L.7 Simplify matrix expressions
  43. L.8 Properties of matrices
  44. L.9 Solve matrix equations
  45. L.10 Determinant of a matrix
  46. L.11 Is a matrix invertible?
  47. L.12 Inverse of a 2 x 2 matrix
  48. L.13 Inverse of a 3 x 3 matrix
  49. L.14 Identify inverse matrices
  50. L.15 Solve matrix equations using inverses
  51. L.16 Identify transformation matrices
  52. L.17 Transformation matrices: write the vertex matrix
  53. L.18 Transformation matrices: graph the image
  54. R.1 Add and subtract complex numbers
  55. R.2 Complex conjugates
  56. R.3 Multiply and divide complex numbers
  57. R.4 Add, subtract, multiply, and divide complex numbers
  58. R.5 Absolute values of complex numbers
  59. R.6 Powers of i
  60. S.1 Introduction to the complex plane
  61. S.2 Graph complex numbers
  62. S.3 Addition in the complex plane
  63. S.4 Subtraction in the complex plane
  64. S.5 Graph complex conjugates
  65. S.6 Absolute value in the complex plane
  66. S.7 Midpoints in the complex plane
  67. S.8 Distance in the complex plane
  68. T.1 Find the modulus and argument of a complex number
  69. T.2 Convert complex numbers from rectangular to polar form
  70. T.3 Convert complex numbers from polar to rectangular form
  71. T.4 Convert complex numbers between rectangular and polar form