Las Vegas Math Tutor
Las Vegas Math Tutor

ALGEBRA 2

ALGEBRA 2

Variable expressions

  1. A.1Evaluate variable expressions involving integers
  2. A.2Evaluate variable expressions involving rational numbers
  3. A.3Simplify variable expressions using properties

Equations

  1. B.1Solve linear equations
  2. B.2Solve linear equations: word problems
  3. B.3Solve absolute value equations
  4. B.4Graph solutions to absolute value equations
  5. B.5Solve multi-variable equations

Inequalities

  1. C.1Graph a linear inequality in one variable
  2. C.2Write inequalities from graphs
  3. C.3Write a linear inequality: word problems
  4. C.4Solve linear inequalities
  5. C.5Graph solutions to linear inequalities
  6. C.6Solve absolute value inequalities
  7. C.7Graph solutions to absolute value inequalities
  8. C.8Graph a two-variable linear inequality
  9. C.9Graph solutions to two-variable absolute value inequalities
  10. C.10Graph solutions to quadratic inequalities
  11. C.11Solve quadratic inequalities

Functions

  1. D.1Domain and range
  2. D.2Identify functions
  3. D.3Evaluate functions
  4. D.4Find values using function graphs
  5. D.5Complete a table for a function graph
  6. D.6Find the slope of a linear function
  7. D.7Graph a linear function
  8. D.8Write the equation of a linear function
  9. D.9Linear functions over unit intervals
  10. D.10Average rate of change

Systems of equations

  1. E.1Is (x, y) a solution to the system of equations?
  2. E.2Solve a system of equations by graphing
  3. E.3Solve a system of equations by graphing: word problems
  4. E.4Find the number of solutions to a system of equations
  5. E.5Classify a system of equations
  6. E.6Solve a system of equations using substitution
  7. E.7Solve a system of equations using substitution: word problems
  8. E.8Solve a system of equations using elimination
  9. E.9Solve a system of equations using elimination: word problems
  10. E.10Solve a system of equations using any method
  11. E.11Solve a system of equations using any method: word problems
  12. E.12Solve a system of equations in three variables using substitution
  13. E.13Solve a system of equations in three variables using elimination
  14. E.14Determine the number of solutions to a system of equations in three variables
  15. E.15Solve a non-linear system of equations

Systems of inequalities

  1. F.1Is (x, y) a solution to the system of inequalities?
  2. F.2Solve systems of linear inequalities by graphing
  3. F.3Solve systems of linear and absolute value inequalities by graphing
  4. F.4Find the vertices of a solution set
  5. F.5Linear programming

Matrices

  1. G.1Matrix vocabulary
  2. G.2Matrix operation rules
  3. G.3Add and subtract matrices
  4. G.4Multiply a matrix by a scalar
  5. G.5Add and subtract scalar multiples of matrices
  6. G.6Multiply two matrices
  7. G.7Simplify matrix expressions
  8. G.8Properties of matrices
  9. G.9Solve matrix equations
  10. G.10Determinant of a matrix
  11. G.11Is a matrix invertible?
  12. G.12Inverse of a matrix
  13. G.13Identify inverse matrices
  14. G.14Solve matrix equations using inverses
  15. G.15Identify transformation matrices
  16. G.16Transformation matrices: write the vertex matrix
  17. G.17Transformation matrices: graph the image
  18. G.18Solve a system of equations using augmented matrices
  19. G.19Solve a system of equations using augmented matrices: word problems

Complex numbers

  1. H.1Introduction to complex numbers
  2. H.2Add and subtract complex numbers
  3. H.3Complex conjugates
  4. H.4Multiply complex numbers
  5. H.5Divide complex numbers
  6. H.6Add, subtract, multiply, and divide complex numbers
  7. H.7Absolute values of complex numbers
  8. H.8Powers of i

Factoring

  1. I.1Factor out a monomial
  2. I.2Factor quadratics using algebra tiles
  3. I.3Factor quadratics
  4. I.4Factor using a quadratic pattern
  5. I.5Factor by grouping
  6. I.6Factor sums and differences of cubes
  7. I.7Factor polynomials

Quadratic functions

  1. J.1Characteristics of quadratic functions
  2. J.2Complete a function table: quadratic functions
  3. J.3Graph a quadratic function
  4. J.4Solve a quadratic equation using square roots
  5. J.5Solve a quadratic equation using the zero product property
  6. J.6Solve a quadratic equation by factoring
  7. J.7Complete the square
  8. J.8Solve a quadratic equation by completing the square
  9. J.9Solve a quadratic equation using the quadratic formula
  10. J.10Using the discriminant
  11. J.11Match quadratic functions and graphs
  12. J.12Write a quadratic function from its zeros

Polynomials

  1. K.1Polynomial vocabulary
  2. K.2Add and subtract polynomials
  3. K.3Multiply polynomials
  4. K.4Divide polynomials using long division
  5. K.5Divide polynomials using synthetic division
  6. K.6Evaluate polynomials using synthetic division
  7. K.7Solve polynomial equations
  8. K.8Find the roots of factored polynomials
  9. K.9Write a polynomial from its roots
  10. K.10Rational root theorem
  11. K.11Complex conjugate theorem
  12. K.12Conjugate root theorems
  13. K.13Descartes' Rule of Signs
  14. K.14Match polynomials and graphs
  15. K.15Fundamental Theorem of Algebra
  16. K.16Pascal's triangle
  17. K.17Pascal's triangle and the Binomial Theorem
  18. K.18Binomial Theorem I
  19. K.19Binomial Theorem II

Radical functions and expressions

  1. L.1Roots of integers
  2. L.2Roots of rational numbers
  3. L.3Find roots using a calculator
  4. L.4Simplify radical expressions with variables I
  5. L.5Simplify radical expressions with variables II
  6. L.6Nth roots
  7. L.7Multiply radical expressions
  8. L.8Divide radical expressions
  9. L.9Add and subtract radical expressions
  10. L.10Simplify radical expressions using the distributive property
  11. L.11Simplify radical expressions using conjugates
  12. L.12Domain and range of radical functions
  13. L.13Solve radical equations

Rational exponents

  1. M.1Evaluate rational exponents
  2. M.2Multiplication with rational exponents
  3. M.3Division with rational exponents
  4. M.4Power rule
  5. M.5Simplify expressions involving rational exponents I
  6. M.6Simplify expressions involving rational exponents II

Rational functions and expressions

  1. N.1Rational functions: asymptotes and excluded values
  2. N.2Evaluate rational expressions I
  3. N.3Evaluate rational expressions II
  4. N.4Simplify rational expressions
  5. N.5Multiply and divide rational expressions
  6. N.6Add and subtract rational expressions
  7. N.7Solve rational equations

Function operations

  1. O.1Add and subtract functions
  2. O.2Multiply functions
  3. O.3Divide functions
  4. O.4Composition of linear functions: find a value
  5. O.5Composition of linear functions: find an equation
  6. O.6Composition of linear and quadratic functions: find a value
  7. O.7Composition of linear and quadratic functions: find an equation
  8. O.8Identify inverse functions
  9. O.9Find values of inverse functions from tables
  10. O.10Find values of inverse functions from graphs
  11. O.11Find inverse functions and relations

Families of functions

  1. P.1Function transformation rules
  2. P.2Translations of functions
  3. P.3Reflections of functions
  4. P.4Dilations of functions
  5. P.5Transformations of functions
  6. P.6Describe function transformations

Variation

  1. Q.1Write and solve direct variation equations
  2. Q.2Write and solve inverse variation equations
  3. Q.3Classify variation
  4. Q.4Write joint and combined variation equations I
  5. Q.5Find the constant of variation
  6. Q.6Write joint and combined variation equations II
  7. Q.7Solve variation equations

Logarithms

  1. R.1Convert between exponential and logarithmic form: rational bases
  2. R.2Convert between natural exponential and logarithmic form
  3. R.3Convert between exponential and logarithmic form: all bases
  4. R.4Evaluate logarithms
  5. R.5Evaluate natural logarithms
  6. R.6Change of base formula
  7. R.7Identify properties of logarithms
  8. R.8Product property of logarithms
  9. R.9Quotient property of logarithms
  10. R.10Power property of logarithms
  11. R.11Properties of logarithms: mixed review
  12. R.12Evaluate logarithms: mixed review

Exponential and logarithmic functions

  1. S.1Domain and range of exponential and logarithmic functions
  2. S.2Evaluate exponential functions
  3. S.3Match exponential functions and graphs
  4. S.4Solve exponential equations using factoring
  5. S.5Solve exponential equations using common logarithms
  6. S.6Solve exponential equations using natural logarithms
  7. S.7Solve logarithmic equations I
  8. S.8Solve logarithmic equations II
  9. S.9Exponential functions over unit intervals
  10. S.10Identify linear and exponential functions
  11. S.11Describe linear and exponential growth and decay
  12. S.12Exponential growth and decay: word problems
  13. S.13Compound interest: word problems
  14. S.14Continuously compounded interest: word problems

Parabolas

  1. T.1Identify the direction a parabola opens
  2. T.2Find the vertex of a parabola
  3. T.3Find the focus or directrix of a parabola
  4. T.4Find the axis of symmetry of a parabola
  5. T.5Write equations of parabolas in vertex form from graphs
  6. T.6Write equations of parabolas in vertex form using properties
  7. T.7Convert equations of parabolas from general to vertex form
  8. T.8Find properties of a parabola from equations in general form
  9. T.9Graph parabolas

Circles

  1. U.1Find the center of a circle
  2. U.2Find the radius or diameter of a circle
  3. U.3Write equations of circles in standard form from graphs
  4. U.4Write equations of circles in standard form using properties
  5. U.5Convert equations of circles from general to standard form
  6. U.6Find properties of circles from equations in general form
  7. U.7Graph circles

Ellipses

  1. V.1Find the center, vertices, or co-vertices of an ellipse
  2. V.2Find the length of the major or minor axes of an ellipse
  3. V.3Find the foci of an ellipse
  4. V.4Write equations of ellipses in standard form from graphs
  5. V.5Write equations of ellipses in standard form using properties
  6. V.6Convert equations of ellipses from general to standard form
  7. V.7Find properties of ellipses from equations in general form

Hyperbolas

  1. W.1Find the center of a hyperbola
  2. W.2Find the vertices of a hyperbola
  3. W.3Find the length of the transverse or conjugate axes of a hyperbola
  4. W.4Find the equations for the asymptotes of a hyperbola
  5. W.5Find the foci of a hyperbola
  6. W.6Write equations of hyperbolas in standard form from graphs
  7. W.7Write equations of hyperbolas in standard form using properties
  8. W.8Convert equations of hyperbolas from general to standard form
  9. W.9Find properties of hyperbolas from equations in general form

Angle measures

  1. X.1Convert between radians and degrees
  2. X.2Radians and arc length
  3. X.3Graphs of angles
  4. X.4Quadrants
  5. X.5Coterminal angles
  6. X.6Reference angles

Trigonometry

  1. Y.1Pythagorean Theorem and its converse
  2. Y.2Special right triangles
  3. Y.3Trigonometric ratios: sin, cos, and tan
  4. Y.4Trigonometric ratios: csc, sec, and cot
  5. Y.5Trigonometric ratios in similar right triangles
  6. Y.6Find trigonometric ratios using the unit circle
  7. Y.7Sin, cos, and tan of special angles
  8. Y.8Csc, sec, and cot of special angles
  9. Y.9Find trigonometric functions using a calculator
  10. Y.10Inverses of sin, cos, and tan
  11. Y.11Inverses of csc, sec, and cot
  12. Y.12Solve trigonometric equations I
  13. Y.13Solve trigonometric equations II
  14. Y.14Trigonometric ratios: find a side length
  15. Y.15Trigonometric ratios: find an angle measure
  16. Y.16Solve a right triangle
  17. Y.17Law of Sines
  18. Y.18Law of Cosines
  19. Y.19Solve a triangle
  20. Y.20Area of a triangle: sine formula
  21. Y.21Area of a triangle: Law of Sines

Trigonometric functions

  1. Z.1Find properties of sine functions
  2. Z.2Write equations of sine functions from graphs
  3. Z.3Write equations of sine functions using properties
  4. Z.4Graph sine functions
  5. Z.5Find properties of cosine functions
  6. Z.6Write equations of cosine functions from graphs
  7. Z.7Write equations of cosine functions using properties
  8. Z.8Graph cosine functions
  9. Z.9Graph sine and cosine functions

Trigonometric identities

  1. AA.1Complementary angle identities
  2. AA.2Symmetry and periodicity of trigonometric functions
  3. AA.3Trigonometric identities I
  4. AA.4Trigonometric identities II

Sequences and series

  1. BB.1Find terms of an arithmetic sequence
  2. BB.2Find terms of a geometric sequence
  3. BB.3Evaluate explicit formulas for sequences
  4. BB.4Evaluate recursive formulas for sequences
  5. BB.5Classify formulas and sequences
  6. BB.6Write a formula for an arithmetic sequence
  7. BB.7Write a formula for a geometric sequence
  8. BB.8Write a formula for a recursive sequence
  9. BB.9Sequences: mixed review
  10. BB.10Identify arithmetic and geometric series
  11. BB.11Introduction to sigma notation
  12. BB.12Find the sum of a finite arithmetic or geometric series
  13. BB.13Introduction to partial sums
  14. BB.14Partial sums of arithmetic series
  15. BB.15Partial sums of geometric series
  16. BB.16Partial sums: mixed review
  17. BB.17Convergent and divergent geometric series
  18. BB.18Find the value of an infinite geometric series
  19. BB.19Write a repeating decimal as a fraction

Probability

  1. CC.1Introduction to probability
  2. CC.2Calculate probabilities of events
  3. CC.3Counting principle
  4. CC.4Combinations and permutations
  5. CC.5Find probabilities using combinations and permutations
  6. CC.6Find probabilities using two-way frequency tables
  7. CC.7Identify independent events
  8. CC.8Probability of independent and dependent events
  9. CC.9Find conditional probabilities
  10. CC.10Independence and conditional probability
  11. CC.11Find conditional probabilities using two-way frequency tables
  12. CC.12Find probabilities using the addition rule
  13. CC.13Identify discrete and continuous random variables
  14. CC.14Write a discrete probability distribution
  15. CC.15Graph a discrete probability distribution
  16. CC.16Expected values of random variables
  17. CC.17Write the probability distribution for a game of chance
  18. CC.18Expected values for a game of chance
  19. CC.19Choose the better bet
  20. CC.20Find probabilities using the binomial distribution
  21. CC.21Find probabilities using the normal distribution

Statistics

  1. DD.1Identify biased samples
  2. DD.2Variance and standard deviation
  3. DD.3Identify an outlier
  4. DD.4Identify an outlier and describe the effect of removing it
  5. DD.5Outliers in scatter plots
  6. DD.6Find the equation of a regression line
  7. DD.7Interpret regression lines
  8. DD.8Analyze a regression line of a data set
  9. DD.9Experiment design