Algebra 2
Here is a list of all of the skills students learn in Algebra 2! These skills are organized into categories, 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!
Variable expressions
Equations
Inequalities
- C.1Graph a linear inequality in one variable
- C.2Write inequalities from graphs
- C.3Write a linear inequality: word problems
- C.4Solve linear inequalities
- C.5Graph solutions to linear inequalities
- C.6Solve absolute value inequalities
- C.7Graph solutions to absolute value inequalities
- C.8Graph a two-variable linear inequality
- C.9Graph solutions to two-variable absolute value inequalities
- C.10Graph solutions to quadratic inequalities
- C.11Solve quadratic inequalities
Functions
- D.1Domain and range
- D.2Identify functions
- D.3Evaluate functions
- D.4Find values using function graphs
- D.5Complete a table for a function graph
- D.6Find the slope of a linear function
- D.7Graph a linear function
- D.8Write the equation of a linear function
- D.9Linear functions over unit intervals
- D.10Average rate of change
Systems of equations
- E.1Is (x, y) a solution to the system of equations?
- E.2Solve a system of equations by graphing
- E.3Solve a system of equations by graphing: word problems
- E.4Find the number of solutions to a system of equations
- E.5Classify a system of equations
- E.6Solve a system of equations using substitution
- E.7Solve a system of equations using substitution: word problems
- E.8Solve a system of equations using elimination
- E.9Solve a system of equations using elimination: word problems
- E.10Solve a system of equations using any method
- E.11Solve a system of equations using any method: word problems
- E.12Solve a system of equations in three variables using substitution
- E.13Solve a system of equations in three variables using elimination
- E.14Determine the number of solutions to a system of equations in three variables
- E.15Solve a non-linear system of equations
Systems of inequalities
Matrices
- G.1Matrix vocabulary
- G.2Matrix operation rules
- G.3Add and subtract matrices
- G.4Multiply a matrix by a scalar
- G.5Add and subtract scalar multiples of matrices
- G.6Multiply two matrices
- G.7Simplify matrix expressions
- G.8Properties of matrices
- G.9Solve matrix equations
- G.10Determinant of a matrix
- G.11Is a matrix invertible?
- G.12Inverse of a matrix
- G.13Identify inverse matrices
- G.14Solve matrix equations using inverses
- G.15Identify transformation matrices
- G.16Transformation matrices: write the vertex matrix
- G.17Transformation matrices: graph the image
- G.18Solve a system of equations using augmented matrices
- G.19Solve a system of equations using augmented matrices: word problems
Complex numbers
Factoring
Quadratic functions
- J.1Characteristics of quadratic functions
- J.2Complete a function table: quadratic functions
- J.3Graph a quadratic function
- J.4Solve a quadratic equation using square roots
- J.5Solve a quadratic equation using the zero product property
- J.6Solve a quadratic equation by factoring
- J.7Complete the square
- J.8Solve a quadratic equation by completing the square
- J.9Solve a quadratic equation using the quadratic formula
- J.10Using the discriminant
- J.11Match quadratic functions and graphs
- J.12Write a quadratic function from its zeros
Polynomials
- K.1Polynomial vocabulary
- K.2Add and subtract polynomials
- K.3Multiply polynomials
- K.4Divide polynomials using long division
- K.5Divide polynomials using synthetic division
- K.6Evaluate polynomials using synthetic division
- K.7Solve polynomial equations
- K.8Find the roots of factored polynomials
- K.9Write a polynomial from its roots
- K.10Rational root theorem
- K.11Complex conjugate theorem
- K.12Conjugate root theorems
- K.13Descartes' Rule of Signs
- K.14Match polynomials and graphs
- K.15Fundamental Theorem of Algebra
- K.16Pascal's triangle
- K.17Pascal's triangle and the Binomial Theorem
- K.18Binomial Theorem I
- K.19Binomial Theorem II
Radical functions and expressions
- L.1Roots of integers
- L.2Roots of rational numbers
- L.3Find roots using a calculator
- L.4Simplify radical expressions with variables I
- L.5Simplify radical expressions with variables II
- L.6Nth roots
- L.7Multiply radical expressions
- L.8Divide radical expressions
- L.9Add and subtract radical expressions
- L.10Simplify radical expressions using the distributive property
- L.11Simplify radical expressions using conjugates
- L.12Domain and range of radical functions
- L.13Solve radical equations
Rational exponents
Rational functions and expressions
Function operations
- O.1Add and subtract functions
- O.2Multiply functions
- O.3Divide functions
- O.4Composition of linear functions: find a value
- O.5Composition of linear functions: find an equation
- O.6Composition of linear and quadratic functions: find a value
- O.7Composition of linear and quadratic functions: find an equation
- O.8Identify inverse functions
- O.9Find values of inverse functions from tables
- O.10Find values of inverse functions from graphs
- O.11Find inverse functions and relations
Families of functions
Variation
Logarithms
- R.1Convert between exponential and logarithmic form: rational bases
- R.2Convert between natural exponential and logarithmic form
- R.3Convert between exponential and logarithmic form: all bases
- R.4Evaluate logarithms
- R.5Evaluate natural logarithms
- R.6Change of base formula
- R.7Identify properties of logarithms
- R.8Product property of logarithms
- R.9Quotient property of logarithms
- R.10Power property of logarithms
- R.11Properties of logarithms: mixed review
- R.12Evaluate logarithms: mixed review
Exponential and logarithmic functions
- S.1Domain and range of exponential and logarithmic functions
- S.2Evaluate exponential functions
- S.3Match exponential functions and graphs
- S.4Solve exponential equations using factoring
- S.5Solve exponential equations using common logarithms
- S.6Solve exponential equations using natural logarithms
- S.7Solve logarithmic equations I
- S.8Solve logarithmic equations II
- S.9Exponential functions over unit intervals
- S.10Identify linear and exponential functions
- S.11Describe linear and exponential growth and decay
- S.12Exponential growth and decay: word problems
- S.13Compound interest: word problems
- S.14Continuously compounded interest: word problems
Parabolas
- T.1Identify the direction a parabola opens
- T.2Find the vertex of a parabola
- T.3Find the focus or directrix of a parabola
- T.4Find the axis of symmetry of a parabola
- T.5Write equations of parabolas in vertex form from graphs
- T.6Write equations of parabolas in vertex form using properties
- T.7Convert equations of parabolas from general to vertex form
- T.8Find properties of a parabola from equations in general form
- T.9Graph parabolas
Circles
- U.1Find the center of a circle
- U.2Find the radius or diameter of a circle
- U.3Write equations of circles in standard form from graphs
- U.4Write equations of circles in standard form using properties
- U.5Convert equations of circles from general to standard form
- U.6Find properties of circles from equations in general form
- U.7Graph circles
Ellipses
- V.1Find the center, vertices, or co-vertices of an ellipse
- V.2Find the length of the major or minor axes of an ellipse
- V.3Find the foci of an ellipse
- V.4Write equations of ellipses in standard form from graphs
- V.5Write equations of ellipses in standard form using properties
- V.6Convert equations of ellipses from general to standard form
- V.7Find properties of ellipses from equations in general form
Hyperbolas
- W.1Find the center of a hyperbola
- W.2Find the vertices of a hyperbola
- W.3Find the length of the transverse or conjugate axes of a hyperbola
- W.4Find the equations for the asymptotes of a hyperbola
- W.5Find the foci of a hyperbola
- W.6Write equations of hyperbolas in standard form from graphs
- W.7Write equations of hyperbolas in standard form using properties
- W.8Convert equations of hyperbolas from general to standard form
- W.9Find properties of hyperbolas from equations in general form
Angle measures
Trigonometry
- Y.1Pythagorean Theorem and its converse
- Y.2Special right triangles
- Y.3Trigonometric ratios: sin, cos, and tan
- Y.4Trigonometric ratios: csc, sec, and cot
- Y.5Trigonometric ratios in similar right triangles
- Y.6Find trigonometric ratios using the unit circle
- Y.7Sin, cos, and tan of special angles
- Y.8Csc, sec, and cot of special angles
- Y.9Find trigonometric functions using a calculator
- Y.10Inverses of sin, cos, and tan
- Y.11Inverses of csc, sec, and cot
- Y.12Solve trigonometric equations I
- Y.13Solve trigonometric equations II
- Y.14Trigonometric ratios: find a side length
- Y.15Trigonometric ratios: find an angle measure
- Y.16Solve a right triangle
- Y.17Law of Sines
- Y.18Law of Cosines
- Y.19Solve a triangle
- Y.20Area of a triangle: sine formula
- Y.21Area of a triangle: Law of Sines
Trigonometric functions
- Z.1Find properties of sine functions
- Z.2Write equations of sine functions from graphs
- Z.3Write equations of sine functions using properties
- Z.4Graph sine functions
- Z.5Find properties of cosine functions
- Z.6Write equations of cosine functions from graphs
- Z.7Write equations of cosine functions using properties
- Z.8Graph cosine functions
- Z.9Graph sine and cosine functions
Trigonometric identities
Sequences and series
- BB.1Find terms of an arithmetic sequence
- BB.2Find terms of a geometric sequence
- BB.3Evaluate explicit formulas for sequences
- BB.4Evaluate recursive formulas for sequences
- BB.5Classify formulas and sequences
- BB.6Write a formula for an arithmetic sequence
- BB.7Write a formula for a geometric sequence
- BB.8Write a formula for a recursive sequence
- BB.9Sequences: mixed review
- BB.10Identify arithmetic and geometric series
- BB.11Introduction to sigma notation
- BB.12Find the sum of a finite arithmetic or geometric series
- BB.13Introduction to partial sums
- BB.14Partial sums of arithmetic series
- BB.15Partial sums of geometric series
- BB.16Partial sums: mixed review
- BB.17Convergent and divergent geometric series
- BB.18Find the value of an infinite geometric series
- BB.19Write a repeating decimal as a fraction
Probability
- CC.1Introduction to probability
- CC.2Calculate probabilities of events
- CC.3Counting principle
- CC.4Combinations and permutations
- CC.5Find probabilities using combinations and permutations
- CC.6Find probabilities using two-way frequency tables
- CC.7Identify independent events
- CC.8Probability of independent and dependent events
- CC.9Find conditional probabilities
- CC.10Independence and conditional probability
- CC.11Find conditional probabilities using two-way frequency tables
- CC.12Find probabilities using the addition rule
- CC.13Identify discrete and continuous random variables
- CC.14Write a discrete probability distribution
- CC.15Graph a discrete probability distribution
- CC.16Expected values of random variables
- CC.17Write the probability distribution for a game of chance
- CC.18Expected values for a game of chance
- CC.19Choose the better bet
- CC.20Find probabilities using the binomial distribution
- CC.21Find probabilities using the normal distribution
Statistics
- DD.1Identify biased samples
- DD.2Variance and standard deviation
- DD.3Identify an outlier
- DD.4Identify an outlier and describe the effect of removing it
- DD.5Outliers in scatter plots
- DD.6Find the equation of a regression line
- DD.7Interpret regression lines
- DD.8Analyze a regression line of a data set
- DD.9Experiment design