Algebra 2

379 skills 377 videos

IXL offers hundreds of Algebra 2 skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, state standards, or standardized test.

IXL offers hundreds of Algebra 2 skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, state standards, or standardized test.

A. Function concepts

1
Domain and range

2
Identify functions

3
Evaluate functions

4
Find values using function graphs

5
Complete a table for a function graph

6
Identify graphs: word problems

7
Find solutions using a table

8
Approximate solutions using a table

9
Average rate of change

B. Linear equations

1
Solve linear equations

2
Solve linear equations: complete the solution

3
Solve linear equations: word problems

4
Rearrange multi-variable equations

C. Linear inequalities

1
Graph inequalities

2
Write inequalities from graphs

3
Solve linear inequalities

4
Graph solutions to linear inequalities

D. Linear functions

1
Find the slope of a linear function

2
Graph a linear function

3
Write the equation of a linear function

4
Linear functions over unit intervals

E. Systems of linear equations

1
Is (x, y) a solution to the system of equations?

2
Solve a system of equations by graphing

3
Solve a system of equations by graphing: word problems

4
Find the number of solutions to a system of equations

5
Classify a system of equations

6
Solve a system of equations using substitution

7
Solve a system of equations using substitution: word problems

8
Solve a system of equations using elimination

9
Solve a system of equations using elimination: word problems

10
Solve a system of equations using any method

11
Solve a system of equations using any method: word problems

12
Solve a system of equations in three variables using substitution

13
Solve a system of equations in three variables using elimination

14
Determine the number of solutions to a system of equations in three variables

F. Two-variable linear inequalities

1
Write two-variable linear inequalities: word problems

2
Graph a two-variable linear inequality

3
Is (x, y) a solution to the system of inequalities?

4
Solve systems of linear inequalities by graphing

5
Find the vertices of a solution set for a system of linear inequalities

6
Linear programming

G. Absolute value equations and inequalities

1
Solve absolute value equations

2
Graph solutions to absolute value equations

3
Write absolute value equations from graphs

4
Solve absolute value inequalities

5
Graph solutions to absolute value inequalities

H. Absolute value functions

1
Domain and range of absolute value functions: graphs

2
Domain and range of absolute value functions: equations

3
Graph an absolute value function

4
Transformations of absolute value functions

5
Graph solutions to two-variable absolute value inequalities

6
Solve systems of linear and absolute value inequalities by graphing

I. Piecewise-defined functions

1
Evaluate piecewise-defined functions

2
Graph piecewise-defined functions

J. Real numbers

1
Sort rational and irrational numbers

2
Classify rational and irrational numbers

3
Properties of operations on rational and irrational numbers

K. Complex numbers

1
Introduction to complex numbers

2
Add and subtract complex numbers

3
Complex conjugates

4
Multiply complex numbers

5
Divide complex numbers

6
Add, subtract, multiply, and divide complex numbers

7
Absolute values of complex numbers

8
Powers of i

L. Polynomial operations

1
Polynomial vocabulary

2
Add and subtract polynomials

3
Multiply polynomials

4
Divide polynomials using long division

5
Divide polynomials using synthetic division

6
Add, subtract, multiply, and divide polynomials

7
Evaluate polynomials using synthetic division

8
Pascal's triangle

9
Pascal's triangle and the Binomial Theorem

10
Binomial Theorem I

11
Binomial Theorem II

M. Factor polynomials

1
Sort factors of single-variable expressions

2
Sort factors of multi-variable expressions

3
Factor out a monomial

4
Factor quadratics using algebra tiles

5
Factor quadratics

6
Factor using a quadratic pattern

7
Factor by grouping

8
Factor sums and differences of cubes

9
Factor polynomials

N. Quadratic functions

1
Characteristics of quadratic functions: graphs

2
Characteristics of quadratic functions: equations

3
Complete a function table: quadratic functions

4
Transformations of quadratic functions

5
Graph a quadratic function

6
Write a quadratic function in vertex form

7
Match quadratic functions and graphs

8
Domain and range of quadratic functions: graphs

9
Domain and range of quadratic functions: equations

10
Write a quadratic function from its zeros

11
Write a quadratic function in vertex form from its vertex and another point

12
Write a quadratic function in factored form from its x-intercepts and another point

13
Write a quadratic function from three points

14
Interpret parts of quadratic expressions: word problems

O. Quadratic equations and inequalities

1
Solve a quadratic equation using square roots

2
Solve a quadratic equation using the zero product property

3
Solve a quadratic equation by factoring

4
Complete the square

5
Solve a quadratic equation by completing the square

6
Solve a quadratic equation using the quadratic formula

7
Solve quadratic equations: word problems

8
Using the discriminant

9
Graph solutions to quadratic inequalities

10
Solve quadratic inequalities

P. Systems of linear and quadratic equations

1
Solve a system of linear and quadratic equations by graphing: parabolas

2
Solve a system of linear and quadratic equations: parabolas

3
Solve a system of linear and quadratic equations: circles

4
Solve a nonlinear system of equations

Q. Polynomial equations and functions

1
Solve polynomial equations

2
Find the roots of factored polynomials

3
Write a polynomial from its roots

4
Rational root theorem

5
Complex conjugate theorem

6
Conjugate root theorems

7
Descartes' Rule of Signs

8
Fundamental Theorem of Algebra

9
Match polynomials and graphs using end behavior

10
Match polynomials and graphs using zeros

11
Match polynomials and graphs

12
Domain and range of polynomials

13
Even and odd functions

R. Radical expressions

1
Roots of integers

2
Roots of rational numbers

3
Find roots using a calculator

4
Simplify radical expressions with variables I

5
Simplify radical expressions with variables II

6
Nth roots

7
Multiply radical expressions

8
Simplify radical expressions involving fractions

9
Add and subtract radical expressions

10
Simplify radical expressions using the distributive property

11
Simplify radical expressions using conjugates

S. Radical functions and equations

1
Domain and range of radical functions

2
Graph square root functions

3
Graph cube root functions

4
Solve radical equations

T. Rational exponents

1
Evaluate rational exponents

2
Convert between rational exponents and radicals

3
Multiplication with rational exponents

4
Division with rational exponents

5
Power rule

6
Simplify expressions involving rational exponents I

7
Simplify expressions involving rational exponents II

8
Solve equations with rational exponents

U. Function operations

1
Add and subtract functions

2
Multiply functions

3
Divide functions

4
Composition of linear functions: find a value

5
Composition of linear functions: find an equation

6
Composition of linear and quadratic functions: find a value

7
Composition of linear and quadratic functions: find an equation

V. Inverse functions

1
Identify inverse functions

2
Find values of inverse functions from tables

3
Find values of inverse functions from graphs

4
Find inverse functions and relations

W. Function transformations

1
Function transformation rules

2
Translations of functions

3
Reflections of functions

4
Dilations of functions

5
Transformations of functions

6
Describe function transformations

X. Rational functions and expressions

1
Rational functions: asymptotes and excluded values

2
Evaluate rational expressions I

3
Evaluate rational expressions II

4
Simplify rational expressions

5
Multiply and divide rational expressions

6
Add and subtract rational expressions

7
Simplify complex fractions

8
Solve rational equations

Y. Variation

1
Write and solve direct variation equations

2
Write and solve inverse variation equations

3
Classify variation

4
Write joint and combined variation equations I

5
Find the constant of variation

6
Write joint and combined variation equations II

7
Solve variation equations

Z. Exponential functions

1
Domain and range of exponential functions

2
Evaluate exponential functions

3
Write exponential functions: word problems

4
Graph exponential functions

5
Match exponential functions and graphs

6
Exponential functions over unit intervals

7
Identify linear and exponential functions

8
Describe linear and exponential growth and decay

9
Exponential growth and decay: word problems

AA. Logarithms

1
Convert between exponential and logarithmic form: rational bases

2
Convert between natural exponential and logarithmic form

3
Convert between exponential and logarithmic form: all bases

4
Evaluate logarithms

5
Evaluate natural logarithms

6
Change of base formula

7
Evaluate logarithms using a calculator

8
Identify properties of logarithms

9
Product property of logarithms

10
Quotient property of logarithms

11
Power property of logarithms

12
Properties of logarithms: mixed review

13
Evaluate logarithms using properties

BB. Logarithmic functions

1
Domain and range of logarithmic functions

2
Graph logarithmic functions

CC. Exponential and logarithmic equations

1
Solve exponential equations by rewriting the base

2
Solve exponential equations using common logarithms

3
Solve exponential equations using natural logarithms

4
Compound interest: word problems

5
Continuously compounded interest: word problems

6
Solve logarithmic equations I

7
Solve logarithmic equations II

DD. Parabolas

1
Identify the direction a parabola opens

2
Find the vertex of a parabola

3
Find the focus or directrix of a parabola

4
Find the axis of symmetry of a parabola

5
Write equations of parabolas in vertex form from graphs

6
Write equations of parabolas in vertex form using properties

7
Convert equations of parabolas from general to vertex form

8
Find properties of a parabola from equations in general form

9
Graph parabolas

EE. Circles

1
Find the center of a circle

2
Find the radius or diameter of a circle

3
Write equations of circles in standard form from graphs

4
Write equations of circles in standard form using properties

5
Convert equations of circles from general to standard form

6
Find properties of circles from equations in general form

7
Graph circles

FF. Ellipses

1
Find the center, vertices, or co-vertices of an ellipse

2
Find the length of the major or minor axis of an ellipse

3
Find the foci of an ellipse

4
Write equations of ellipses in standard form from graphs

5
Write equations of ellipses in standard form using properties

6
Convert equations of ellipses from general to standard form

7
Find properties of ellipses from equations in general form

GG. Hyperbolas

1
Find the center of a hyperbola

2
Find the vertices of a hyperbola

3
Find the length of the transverse or conjugate axes of a hyperbola

4
Find the equations for the asymptotes of a hyperbola

5
Find the foci of a hyperbola

6
Write equations of hyperbolas in standard form from graphs

7
Write equations of hyperbolas in standard form using properties

8
Convert equations of hyperbolas from general to standard form

9
Find properties of hyperbolas from equations in general form

HH. Angle measures

1
Convert between radians and degrees

2
Radians and arc length

3
Graphs of angles

4
Quadrants

5
Coterminal angles

6
Reference angles

II. Right triangle trigonometry

1
Pythagorean Theorem and its converse

2
Special right triangles

3
Trigonometric ratios: sin, cos, and tan

4
Trigonometric ratios: csc, sec, and cot

5
Trigonometric ratios in similar right triangles

6
Find trigonometric ratios using the unit circle

7
Sin, cos, and tan of special angles

8
Csc, sec, and cot of special angles

9
Find trigonometric ratios using reference angles

10
Find trigonometric functions using a calculator

11
Inverses of sin, cos, and tan: degrees

12
Inverses of sin, cos, and tan: radians

13
Inverses of csc, sec, and cot

14
Solve trigonometric equations I

15
Solve trigonometric equations II

16
Trigonometric ratios: find a side length

17
Trigonometric ratios: find an angle measure

18
Solve a right triangle

JJ. Laws of Sines and Cosines

1
Law of Sines

2
Law of Cosines

3
Solve a triangle

4
Area of a triangle: sine formula

5
Area of a triangle: Law of Sines

KK. Trigonometric functions

1
Find properties of sine functions

2
Write equations of sine functions from graphs

3
Write equations of sine functions using properties

4
Graph sine functions

5
Graph translations of sine functions

6
Find properties of cosine functions

7
Write equations of cosine functions from graphs

8
Write equations of cosine functions using properties

9
Graph cosine functions

10
Graph translations of cosine functions

11
Find properties of sine and cosine functions

12
Write equations of sine and cosine functions from graphs

13
Write equations of sine and cosine functions using properties

14
Graph sine and cosine functions

15
Graph translations of sine and cosine functions

LL. Trigonometric identities

1
Complementary angle identities

2
Symmetry and periodicity of trigonometric functions

3
Find trigonometric ratios using a Pythagorean or reciprocal identity

4
Find trigonometric ratios using multiple identities

5
Trigonometric sum and difference identities

6
Solve trigonometric equations using sum and difference identities

MM. Sequences

1
Find terms of an arithmetic sequence

2
Find terms of a geometric sequence

3
Evaluate explicit formulas for sequences

4
Evaluate recursive formulas for sequences

5
Classify formulas and sequences

6
Write a formula for an arithmetic sequence

7
Write a formula for a geometric sequence

8
Write a formula for a recursive sequence

9
Convert a recursive formula to an explicit formula

10
Convert an explicit formula to a recursive formula

11
Convert between explicit and recursive formulas

12
Sequences: mixed review

NN. Series

1
Identify arithmetic and geometric series

2
Introduction to sigma notation

3
Find the sum of an arithmetic series

4
Find the sum of a finite geometric series

5
Introduction to partial sums

6
Partial sums of arithmetic series

7
Partial sums of geometric series

8
Partial sums: mixed review

9
Convergent and divergent geometric series

10
Find the value of an infinite geometric series

11
Write a repeating decimal as a fraction

OO. Probability

1
Calculate probabilities of events

2
Counting principle

3
Combinations and permutations

4
Find probabilities using combinations and permutations

5
Find probabilities using two-way frequency tables

6
Identify independent events

7
Probability of independent and dependent events

8
Find conditional probabilities

9
Independence and conditional probability

10
Find conditional probabilities using two-way frequency tables

11
Find probabilities using the addition rule

PP. Probability distributions

1
Identify probability distributions

2
Identify discrete and continuous random variables

3
Write a discrete probability distribution

4
Graph a discrete probability distribution

5
Expected values of random variables

6
Variance of random variables

7
Standard deviation of random variables

8
Write the probability distribution for a game of chance

9
Expected values for a game of chance

10
Choose the better bet

QQ. Binomial and normal distributions

1
Find probabilities using the binomial distribution

2
Find probabilities using the normal distribution I

3
Find probabilities using the normal distribution II

4
Find z-values

5
Find values of normal variables

6
Distributions of sample means

RR. Single-variable statistics

1
Identify biased samples

2
Variance and standard deviation

3
Identify an outlier

4
Identify an outlier and describe the effect of removing it

5
Find confidence intervals for population means

6
Find confidence intervals for population proportions

7
Interpret confidence intervals for population means

8
Experiment design

9
Analyze the results of an experiment using simulations

SS. Bivariate statistics

1
Outliers in scatter plots

2
Match correlation coefficients to scatter plots

3
Calculate correlation coefficients

4
Find the equation of a regression line

5
Interpret regression lines

6
Analyze a regression line of a data set

7
Exponential regression

TT. Matrices

1
Matrix vocabulary

2
Matrix operation rules

3
Add and subtract matrices

4
Multiply a matrix by a scalar

5
Add and subtract scalar multiples of matrices

6
Multiply two matrices

7
Simplify matrix expressions

8
Properties of matrices

9
Solve matrix equations

10
Determinant of a matrix

11
Is a matrix invertible?

12
Inverse of a matrix

13
Identify inverse matrices

14
Solve matrix equations using inverses

15
Identify transformation matrices

16
Transformation matrices: write the vertex matrix

17
Transformation matrices: graph the image

18
Solve a system of equations using augmented matrices

19
Solve a system of equations using augmented matrices: word problems