Intermediate Algebra

Integrated Algebra

Concept Videos and Practice

The videos and practice links here are just samples of the MANY available on the internet. If you need more help, search the internet using the topic heading. These are some good places to start looking.

Free practice with immediate feedback by IXL:

https://www.ixl.com/math/algebra-2

Free videos and practice by Khan Academy: https://www.khanacademy.org/math/geometry-home/geometry-lines

Free video library by MathisPower4u by James Sousa - MANY topics!

http://www.mathispower4u.com/

Free worksheets with answers by KUTA software: http://www.kutasoftware.com/freeige.html

Unit 1 - Functions

Operations with functions video

https://www.youtube.com/watch?v=dAW1KXejciQ

Composition of functions video

https://www.youtube.com/watch?v=S4AEZElTPDo

Operations with functions and Composition of functions practice

http://www.algebralab.org/practice/practice.aspx?file=Algebra2_7-6.xml

Evaluate a function from a graph video

https://www.youtube.com/watch?v=1BfRY7jcjxc

Evaluate a function from a graph practice

https://www.khanacademy.org/math/algebra/algebra-functions/evaluating-functions/e/evaluate-functions-from-their-graph

Inverse functions video

https://www.youtube.com/watch?v=gXIRspXL6oc

Verify inverse functions video

https://www.youtube.com/watch?v=4uu-zIx9cCM

Inverse functions practice

(NOTE - IXL only lets you do a few problems a day for free - either wait a day or pay to join)

https://www.khanacademy.org/math/algebra2/manipulating-functions/finding-inverse-functions/e/algebraically-finding-inverses

https://www.ixl.com/math/algebra-2/identify-inverse-functions

https://www.ixl.com/math/algebra-2/find-inverse-functions-and-relations

Unit 2A - Quadratics

Factoring a=1 Videos

https://www.youtube.com/watch?v=fmLM8xt-YIg

https://www.youtube.com/watch?v=ilkY5DwkwaM

https://www.youtube.com/watch?v=g6RnAY_VkMs

Practice with Factoring a=1

https://www.khanacademy.org/math/algebra/polynomial-factorization/factoring-quadratics-1/e/factoring_polynomials_1

https://www.mangahigh.com/en-us/games/wrecksfactor

Methods for factoring quadratics when a>1

Method 1: Decomposition (“a times c, rewrite b”)

Video: https://www.youtube.com/watch?v=Avq0w7hocE8

Method 2: “Slide and Divide”

(NOTE: You MUST remember to factor out a GCF first, or that factor will be lost when simplifying.)

Video - https://www.youtube.com/watch?v=TU15PaFhj5o

Method 3: Fraction Factoring:

(NOTE: You MUST remember to factor out a GCF first, or that factor will be lost when simplifying.)

Video - https://www.youtube.com/watch?v=uaPgfKCj5CY

Method 4: Tic-Tac-Toe Factoring:

Instructional slide show … http://www.scribd.com/doc/2440412/Tic-Tac-Toe-Factoring.

Practice with Factoring a>1

https://www.khanacademy.org/math/algebra/quadratics/solving-quadratic-equations-by-factoring/e/solving_quadratics_by_factoring_2

http://www.mesacc.edu/~scotz47781/mat120/notes/factoring/trinomials/a_is_not_1/trinomials_practice.html

https://www.ixl.com/math/algebra-2/factor-quadratics

https://mathbitsnotebook.com/Algebra1/Factoring/FCTrinomialPractice.html

Solving quadratics:

Solving quadratics by factoring video

https://www.youtube.com/watch?v=g6RnAY_VkMs&scrlybrkr

Solving quadratics by factoring practice

https://www.khanacademy.org/math/algebra/quadratics/solving-quadratic-equations-by-factoring/e/solving_quadratics_by_factoring_2

http://www.coolmath.com/crunchers/algebra-problems-solving-quadratics-factoring

Harder:

http://www.mesacc.edu/~scotz47781/mat120/notes/factoring/solving_by/quadratics/quadratics_practice.html

Solving quadratics using the quadratic formula video

https://www.youtube.com/watch?v=H5AM1bzqCQw

Solving quadratics using the quadratic formula practice

https://www.ixl.com/math/algebra-1/solve-a-quadratic-equation-using-the-quadratic-formula

https://www.khanacademy.org/math/algebra/quadratics/solving-quadratics-using-the-quadratic-formula/e/quadratic_equation

Solving quadratics - pick a method

http://www.purplemath.com/modules/solvquad6.htm?scrlybrkr

Solving quadratics - game

https://www.mangahigh.com/en-us/math_games/algebra/solve_quadratics_using_the_formula/solve_trinomials_by_using_the_quadratic_formula

operations with imaginary numbers practice

https://www.ixl.com/math/algebra-2/add-subtract-multiply-and-divide-complex-numbers

operations with imaginary numbers video

https://www.youtube.com/watch?v=GH2fzLCCdKc&scrlybrkr

Simplify square roots video

Basic - https://www.khanacademy.org/math/in-eighth-grade-math/squares-square-roots/square-roots/v/simplifying-square-roots-1

With variables -

https://www.youtube.com/watch?v=M_zIjMICB3k

Dividing -

https://www.youtube.com/watch?v=LfsJxeye1CA

Unit 2B - Polynomials

Factoring polynomials (with rational zero test and synthetic division) video

https://www.youtube.com/watch?v=xY7Vpxvm62A

Factoring polynomials practice

http://www.mesacc.edu/~scotz47781/mat120/notes/factoring/trinomials/a_is_not_1/trinomials_practice.html

https://www.ixl.com/math/algebra-1/factor-polynomials

https://www.ixl.com/math/algebra-2/solve-polynomial-equations

Interpreting polynomials video - end behavior

https://www.google.com/search?q=finding+end+behavior+of+polynomials+video&rlz=1C1GGRV_enUS765US765&oq=finding+end+behavior+of+polynomials+video&aqs=chrome..69i57.17361j0j7&sourceid=chrome&ie=UTF-8#kpvalbx=1

Finding possible rational roots video

https://www.youtube.com/watch?v=GTx-rXTQg1o

Finding possible rational roots practice

https://www.ixl.com/math/algebra-2/rational-root-theorem

Synthetic division video

https://www.khanacademy.org/math/algebra2/arithmetic-with-polynomials/synthetic-division-of-polynomials/v/synthetic-division

Synthetic division practice

https://www.ixl.com/math/algebra-2/divide-polynomials-using-synthetic-division

https://www.ixl.com/math/algebra-2/evaluate-polynomials-using-synthetic-division

Unit 3 - Rational Functions

Simplifying rational expressions video

https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/simplify-rational-expressions/v/simplifying-rational-expressions-introduction

https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/simplify-rational-expressions/v/simplifying-rational-expressions-introduction

Simplifying rational expressions practice

https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/simplify-rational-expressions/e/simplifying_rational_expressions_2

https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/simplify-rational-expressions/e/simplifying_rational_expressions_3

Multiplying rational expressions video

https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/multiplying-and-dividing-rational-expressions/v/multiplying-and-dividing-rational-expressions-2

Multiplying rational expressions practice

http://www.mesacc.edu/~scotz47781/mat120/notes/rational/multiplying/mult_rational_practice.html

Dividing rational expressions video

https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/multiplying-and-dividing-rational-expressions/v/multiplying-and-dividing-rational-expressions-3

Dividing rational expressions practice

https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/multiplying-and-dividing-rational-expressions/e/multiplying_and_dividing_rational_expressions_2

https://www.ixl.com/math/algebra-2/multiply-and-divide-rational-expressions

Adding and Subtracting rational expressions video

Same denominators

https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/adding-and-subtracting-rational-expressions/v/adding-and-subtracting-rational-expressions-with-like-denominators

Different denominators

https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/adding-and-subtracting-rational-expressions/v/adding-rational-expression-w-unlike-denominators

Adding and Subtracting rational expressions practice

Same denominators https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/adding-and-subtracting-rational-expressions/e/adding_and_subtracting_rational_expressions

Different denominators

https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/adding-and-subtracting-rational-expressions/e/adding_and_subtracting_rational_expressions_5

https://www.ixl.com/math/algebra-2/add-and-subtract-rational-expressions

Solving rational equations video

https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/solving-rational-equations/v/ex-1-multi-step-equation

https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/solving-rational-equations/v/equations-with-two-rational-expressions

Solving rational equations practice

https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/solving-rational-equations/e/linear_equations_4

https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/solving-rational-equations/e/rational-equations-3

http://www.mesacc.edu/~scotz47781/mat120/notes/rational/solving/solving_practice.html

Unit 7 - Exponential and Logarithmic Functions

Evaluate rational exponents practice

https://www.ixl.com/math/algebra-2/evaluate-rational-exponents

https://www.ixl.com/math/algebra-2/power-rule

Radical to Exponential Form video

https://www.youtube.com/watch?v=gqNMJe2THLY

Radical to Exponential Form practice

https://www.khanacademy.org/math/algebra/rational-exponents-and-radicals/rational-exponents-intro/e/exponents_3

Growth and Decay practice

https://www.ixl.com/math/algebra-1/exponential-growth-and-decay-word-problems

Compound Interest described

http://www.meta-financial.com/lessons/compound-interest/formula-calculate.php

Compound Interest video

https://www.youtube.com/watch?v=ppBi3TN9D10&disable_polymer=true

Compound Interest practice

https://www.ixl.com/math/algebra-2/compound-interest-word-problems

Continuous Interest video

https://www.youtube.com/watch?v=P182Abv3fOk

Logarithm Introduction video

https://www.khanacademy.org/math/algebra2/exponential-and-logarithmic-functions/modal/v/logarithms

Logarithmic to exponential form video

https://www.khanacademy.org/math/algebra2/exponential-and-logarithmic-functions/introduction-to-logarithms/v/exponential-to-logarithmic-form

https://www.youtube.com/watch?v=OitymvwXr18

Convert between logarithmic and exponential form practice

https://www.ixl.com/math/algebra-2/convert-between-exponential-and-logarithmic-form-rational-bases

Evaluate logarithms practice

https://www.ixl.com/math/algebra-2/evaluate-logarithms

Using Change of base formula

https://www.ixl.com/math/algebra-2/change-of-base-formula

Properties of Logarithms video

https://www.khanacademy.org/math/algebra2/exponential-and-logarithmic-functions/properties-of-logarithms/v/introduction-to-logarithm-properties

https://www.khanacademy.org/math/algebra2/exponential-and-logarithmic-functions/properties-of-logarithms/v/introduction-to-logarithm-properties-part-2

Properties of Logarithms practice

https://www.khanacademy.org/math/algebra2/exponential-and-logarithmic-functions/properties-of-logarithms/e/logarithms_2

https://www.ixl.com/math/algebra-2/identify-properties-of-logarithms

https://www.ixl.com/math/algebra-2/product-property-of-logarithms

https://www.ixl.com/math/algebra-2/quotient-property-of-logarithms

https://www.ixl.com/math/algebra-2/power-property-of-logarithms

https://www.ixl.com/math/algebra-2/properties-of-logarithms-mixed-review

Solving log equations video

https://www.youtube.com/watch?v=ExbzXBS5W-k

Solving log equations practice

https://www.ixl.com/math/algebra-2/solve-logarithmic-equations

https://www.ixl.com/math/algebra-2/solve-logarithmic-equations-ii

Solving exponential equations using logs practice

https://www.ixl.com/math/algebra-2/solve-exponential-equations-using-common-logarithms

Solving exponential equations using natural logs practice

https://www.ixl.com/math/algebra-2/solve-exponential-equations-using-natural-logarithms

Unit 5a - Sequences and Series

Classifying sequences practice

https://www.ixl.com/math/algebra-2/classify-formulas-and-sequences

Find the terms of an arithmetic sequence practice

https://www.ixl.com/math/algebra-2/find-terms-of-an-arithmetic-sequence

Developing the formula for an arithmetic sequence video

https://www.youtube.com/watch?v=X7RByzgjK6Q

Developing the formula for an arithmetic sequence practice

https://www.ixl.com/math/algebra-2/write-a-formula-for-an-arithmetic-sequence

Find the terms of an arithmetic sequence practice

https://www.ixl.com/math/algebra-2/find-terms-of-a-geometric-sequence

Find the sum of an arithmetic series practice

https://www.ixl.com/math/algebra-2/partial-sums-of-arithmetic-series

Developing the formula for a geometric sequence video

https://www.youtube.com/watch?v=Z6jxXlduTRU

Developing the formula for a geometric sequence practice

https://www.ixl.com/math/algebra-2/write-a-formula-for-a-geometric-sequence

Find the sum of a geometric series practice

https://www.ixl.com/math/algebra-2/partial-sums-of-geometric-series

Find the sum of an arithmetic or geometric series practice

https://www.ixl.com/math/algebra-2/find-the-sum-of-a-finite-arithmetic-or-geometric-series

Unit 5b - Probability

Basic probability practice

https://www.ixl.com/math/algebra-2/introduction-to-probability

https://www.ixl.com/math/algebra-2/calculate-probabilities-of-events

Fundamental Counting Principle practice

https://www.ixl.com/math/algebra-2/counting-principle

Factorials video

https://www.khanacademy.org/math/precalculus/prob-comb/combinatorics-precalc/v/factorial-and-counting-seat-arrangements

Permutations video

https://www.khanacademy.org/math/precalculus/prob-comb/combinatorics-precalc/v/permutation-formula

https://betterexplained.com/articles/easy-permutations-and-combinations/

Permutations practice

https://www.ixl.com/math/grade-6/permutations

https://www.khanacademy.org/math/precalculus/prob-comb/combinatorics-precalc/e/permutations_1

Combinations video

https://www.youtube.com/watch?v=iKy-d5_erhI

https://www.youtube.com/watch?v=bCxMhncR7PU

Combinations practice

https://www.ixl.com/math/algebra-2/combinations-and-permutations

Combinations probability video

https://www.youtube.com/watch?v=Xqfcy1rqMbI

Combinations probability practice

https://www.ixl.com/math/algebra-2/find-probabilities-using-combinations-and-permutations

Unit 6a - Trigonometry: Right Triangles

Basic trigonometry ratio practice

https://www.ixl.com/math/geometry/trigonometric-ratios-sin-cos-and-tan

https://www.ixl.com/math/geometry/trigonometric-ratios-csc-sec-and-cot

Trigonometric functions using a calculator practice

https://www.ixl.com/math/geometry/find-trigonometric-functions-using-a-calculator

https://www.ixl.com/math/geometry/trigonometric-ratios-find-a-side-length

https://www.ixl.com/math/geometry/trigonometric-ratios-find-an-angle-measure

https://www.ixl.com/math/geometry/solve-a-right-triangle

Unit 6b - Trigonometry: Angles, Degrees, Radians

Radians explained

https://www.mathsisfun.com/geometry/radians.html

Coterminal Angles video

https://www.youtube.com/watch?v=tWJZgPGiEjU

https://www.youtube.com/watch?v=GdFT2pieMN8

Coterminal Angles practice

https://www.ixl.com/math/algebra-2/coterminal-angles

Graph Angles Practice

https://www.ixl.com/math/algebra-2/graphs-of-angles

(Graph) Quadrants Practice

https://www.ixl.com/math/algebra-2/quadrants

Convert between degrees and radians video

https://www.khanacademy.org/math/algebra2/trig-functions/intro-to-radians-alg2/v/we-converting-degrees-to-radians

https://www.khanacademy.org/math/algebra2/trig-functions/intro-to-radians-alg2/v/we-converting-radians-to-degrees

Convert between degrees and radians practice

https://www.ixl.com/math/algebra-2/convert-between-radians-and-degrees

https://www.khanacademy.org/math/algebra2/trig-functions/intro-to-radians-alg2/e/degrees_to_radians

Unit 6c - Unit Circle

Developing the unit circle videos

https://www.khanacademy.org/math/algebra2/trig-functions/unit-circle-definition-of-trig-functions-alg2/v/unit-circle-definition-of-trig-functions-1

https://www.youtube.com/watch?v=jw0NUb-moAQ

https://www.mathsisfun.com/geometry/unit-circle.html

https://www.youtube.com/watch?v=cIVpemcoAlY

“Memorizing” the unit circle videos

https://www.youtube.com/watch?v=tIGmM0jCVnI&disable_polymer=true

https://www.youtube.com/watch?v=LE6dmczMc68

Trigonometric ratios using the unit circle practice

Find trigonometric ratios using the unit circle

Sin, cos, and tan of special angles

Csc, sec, and cot of special angles