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 view a sample question. 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

Functions

Systems of equations

Systems of inequalities

Matrices

Complex numbers

Factoring

Quadratic functions

Polynomials

Radical functions and expressions

Rational exponents

Rational functions and expressions

Function operations

Families of functions

Variation

Logarithms

Exponential and logarithmic functions

Parabolas

Circles

Ellipses

Hyperbolas

Angle measures

Trigonometry

Trigonometric identities

Sequences

Probability

Statistics

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 view a sample question. 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

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

Equations

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

Inequalities

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

Functions

- D.1Domain and range
- D.2Identify functions
- D.3Evaluate functions
- D.4Find the slope of a linear function
- D.5Graph a linear function
- D.6Write the equation of a linear function

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

- F.1Is (x, y) a solution to the system of inequalities?
- F.2Find the vertices of a solution set
- F.3Linear programming

Matrices

- G.1Matrix vocabulary
- G.2Matrix operation rules
- G.3Add and subtract matrices
- G.4Multiply a matrix by a scalar
- G.5Linear combinations 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

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

Factoring

Quadratic functions

- J.1Characteristics of quadratic functions
- J.2Complete a function table: quadratic functions
- J.3Find a quadratic function
- J.4Graph a quadratic function
- J.5Solve a quadratic equation using square roots
- J.6Solve a quadratic equation using the zero product property
- J.7Solve a quadratic equation by factoring
- J.8Complete the square
- J.9Solve a quadratic equation using the quadratic formula
- J.10Using the discriminant

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.7Write a polynomial from its roots
- K.8Find the roots of factored polynomials
- K.9Complex conjugate theorem
- K.10Conjugate root theorems
- K.11Descartes' Rule of Signs
- K.12Fundamental Theorem of Algebra

Radical functions and expressions

- L.1Roots of integers
- L.2Roots of rational numbers
- L.3Find roots using a calculator
- L.4Nth roots
- L.5Simplify radical expressions with variables I
- L.6Simplify radical expressions with variables II
- 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

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

Rational functions and expressions

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

Function operations

- O.1Add and subtract functions
- O.2Multiply functions
- O.3Divide functions
- O.4Composition of linear functions
- O.5Composition of linear and quadratic functions
- O.6Find inverse functions and relations

Families of functions

- P.1Translations of functions
- P.2Reflections of functions
- P.3Dilations of functions
- P.4Transformations of functions

Variation

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

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 growth and decay: word problems
- S.10Compound interest: word problems
- S.11Continuously 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

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

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 identities

- Z.1Complementary angles
- Z.2Symmetry and periodicity of trigonometric functions
- Z.3Trigonometric identities I
- Z.4Trigonometric identities II

Sequences

- AA.1Classify sequences
- AA.2Arithmetic sequences
- AA.3Geometric sequences
- AA.4Evaluate variable expressions for sequences
- AA.5Write variable expressions for arithmetic sequences
- AA.6Write variable expressions for geometric sequences
- AA.7Sequences: mixed review

Probability

- BB.1Calculate probabilities
- BB.2Probability of independent and dependent events
- BB.3Counting principle
- BB.4Permutations and combinations

Statistics