## Algebra

**Deductive reasoning 1**

**Deductive reasoning 2**

**Deductive reasoning 3**

**Inductive reasoning 2**

**Inductive reasoning 3**

**U12 l1 t3 we1 inductive reasoning 1**

**U03 l1 t1 we2 inductive patterns**

**Proof by induction**

**Testing solutions to inequalities**

**Plotting inequalities on a number line**

**Inequalities on a number line**

**Real world situations with inequalities**

**Inequalities using multiplication and division**

**One step inequalities 2**

**One step inequalities**

**Inequalities**

**Inequalities using addition and subtraction**

**Solving and graphing linear inequalities in two variables 1**

**Solving inequalities**

**Interpreting inequalities**

**Writing and using inequalities 3**

**Multi step inequalities 3**

**Multi step inequalities 2**

**Multi step inequalities**

**Compund inequalities**

**Compund inequalities 2**

**Compound inequalities 4**

**Compound inequalities 3**

**Compound inequalities**

**Graphing inequalities 1**

**Testing solutions for a system of inequalities**

**Constraining solutions to two variable linear inequalities**

**Constraining solutions of systems of inequalities**

**Graphing inequalities**

**Graphing linear inequalities in two variables example 2**

**Graphing linear inequalities in two variables 3**

**Graphical system of inequalities**

**Graphing systems of inequalities 2**

**Graphing inequalities 2**

**Tree diagram to count outcomes**

**Counting pot and flower scenarios**

**Factorial and counting seat arrangements**

**Permutation formula**

**Possible three letter words**

**Zero factorial or 0**

**Permutations and combinations 1**

**Permutations and combinations 2**

**Introduction to combinations**

**Combination formula**

**Handshaking combinations**

**Permutations and combinations 3**

**Explicit and recursive definitions of sequences**

**Arithmetic sequences**

**Equations of sequence patterns**

**Explicit formulas for arithmetic sequences**

**Sigma notation sum**

**Sum of arithmetic sequence arithmetic series**

**Evaluating finite arithmetic series**

**Evaluating arithmetic sum example**

**Finding sum from recursive definition of sequence**

**Alternate proof to induction for integer sum**

**Series as sum of sequence**

**Geometric series introduction**

**Example finding sum of finite geometric series**

**Three examples of evaluating finite geometric series**

**Deriving formula for sum of finite geometric series**

**Geometric series word problem**

**Geometric series sum to figure out mortgage payments**

**Sum of n squares 1**

**Sum n squares 2**

**Alternate sum of n squares formula**

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KHAN ACADEMY® offers great materials that can help build your skills in subjects that are important to you.

You can master basic concepts, explore subjects further or reinforce your knowledge − at your own pace.

Wherever you are in your learning journey, here are links to free materials that may be useful to identify both your strengths and any knowledge gaps in key background subjects.