Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higherlevel math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.
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Lessons 

1) The beauty of algebra  Introduction to algebraWhy the abstraction of mathematics is so fundamental574 views

2) Origins of algebra  Introduction to algebraWhere did the word "Algebra" and its underlying ideas come from?774 views

3) Abstractness  Introduction to algebraThe general idea behind the word 'abstract'778 views

4) Introduction to the coordinate plane  Introduction to algebraBridging algebra and geometry. What makes linear equations so linear.740 views

5) What are variables, expressions, and equations?  Introduction to algebraLearn what variables, expressions, and equations really are. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/a ...732 views

6) How to solve equations of the form ax = b  Linear equationsLet's ease into this, shall we? Here's an introduction to basic algebraic equations of the form ax=b. Remember that you can check to see if you have the right answer by substituting it for the variabl ...729 views

7) Solving a more complicated equation  Linear equationsThis example demonstrates how we solve an equation expressed such: ax + b = c. It's a little more complicated than previous examples, but you can do it! Practice this lesson yourself on KhanAcademy.o ...728 views

8) Introduction to solving an equation with variables on both sidesSal solves the equation 2x + 3 = 5x  2. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/a ...719 views

9) Algebra: Linear equations 4  Linear equationsSolving linear equations with variable expressions in the denominators of fractions Watch the next lesson: https://www.khanacademy.org/math/algebra ...653 views

10) Algebra: Solving InequalitiesSolving linear inequalities.671 views

11) Algebra: graphing lines 1Graphing linear equations More free lessons at: http://www.khanacademy.org/video?v=2UrcU661 views

12) Algebra: Slope and Yintercept intuitionGetting a feel for slope and yintercept More free lessons at: http://www.khanacademy.org/video?v=Nhna672 views

13) Algebra: SlopeFiguring out the slope of a line727 views

14) Algebra: Slope 2Second part of determining the slope of a line721 views

15) Algebra: Slope 3Part 3 of slope760 views

16) Algebra: Equation of a lineDetermining the equation of a line More free lessons at: http://www.khanacademy.org/video?v=gvwKv690 views

17) Slope and Yintercept IntuitionUsing the "Graph of a line" module to understand how a line's graph changes when its slope or yintercept is changed. More free lessons at: http://www.khanacademy.org/video?v=8sz1I738 views

18) Averages  Linear equationsIntroduction to averages and algebra problems involving averages.634 views

19) Integer sumsAdding sums of consecutive integers646 views

20) Taking percentages  Linear equationsTaking a percentage of a number.638 views

21) Growing by a percentage  Linear equationsIn this example we grow a whole number by a percentage of itself. Growing by percentage is a common skill often used when figuring how much is owed or earned with interest.736 views

22) Percent word problem example 1  Ratios, rates, and percentages  6th grade  Khan AcademyWe're putting a little algebra to work to find the full price when you know the discount price in this percent word problem. Practice this lesson yourself on KhanAcademy.org right now: https://www. ...788 views

23) More percent problems  Linear equationsSlightly harder percent problems734 views

24) systems of equationssystems of equations More free lessons at: http://www.khanacademy.org/video?v=nok99698 views

25) Introduction to ratios  Ratios, proportions, units, and rates  PreAlgebra  Khan AcademyWhat a ratio is. Simple ratio problems. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/prealg ...860 views

26) Ratio problem with basic algebra (new HD)A slightly more involved ratio problem with algebra More free lessons at: http://www.khanacademy.org/video?v=ITVQr907 views

27) More advanced ratio problemwith Algebra (HD version)More advance ratio problem with algebra. More free lessons at: http://www.khanacademy.org/video?v=ItA_h668 views

28) Alternate Solution to Ratio Problem (HD Version)An alternate solution to the advanced ratio problem in the last video. More free lessons at: http://www.khanacademy.org/video?v=xyTz701 views

29) Introduction to RatiosBasic ratio problems. (from KhanAcademy.org)621 views

30) Advanced ratio problemsMore advanced ratio problems More free lessons at: http://www.khanacademy.org/video?v=PASSD766 views

31) Age word problems 1  Linear equationsAge word problems589 views

32) Age word problems 2  Linear equationsSecond set of age word problems782 views

33) Age word problems 3  Linear equationsPart 3 of the presentation on age word problems621 views

34) Level 1 multiplying expressions(Ax+By)(Ax+By) More free lessons at: http://www.khanacademy.org/video?v=Sc0e6661 views

35) Solving a quadratic by factoring  Quadratic equationsFactoring quadratics642 views

36) Introduction to i and imaginary numbers  Imaginary and complex numbers  Precalculus  Khan AcademyIntroduction to i and imaginary numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/preca ...812 views

37) Calculating i raised to arbitrary exponents  Precalculus  Khan AcademyCalculating i raised to arbitrarily high exponents Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/preca ...667 views

38) i as the principal root of 1 (a little technical)  Precalculus  Khan Academyi as the principal square root of 1736 views

39) Complex Numbers (part 1)Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.645 views

40) Complex Numbers (part 2)Dividing complex numbers. Complex conjugates.633 views

41) Introduction to the quadratic equation  Quadratic equationsIntroduction to using the quadratic equation to solve 2nd degree polynomial equations626 views

42) Quadratic equation part 2  Quadratic equations2 more examples of solving equations using the quadratic equation740 views

43) Completing the squareSolving a quadratic by completing the square.665 views

44) Quadratic formula (proof)  Quadratic equationsDeriving the quadratic formula by completing the square.659 views

45) Quadratic inequalities  Polynomial and rational functions  Algebra II  Khan AcademySolving quadratic inequalities using factoring676 views

46) Quadratic inequalities (visual explanation)  Algebra II  Khan AcademyHow to solve a quadratic inequality. Visual intuition of what a quadratic inequality means.701 views

47) Introduction to functionsAn introduction to functions. More free lessons at: http://www.khanacademy.org/video?v=VhokQ793 views

48) Functions Part 2More examples of solving function problems More free lessons at: http://www.khanacademy.org/video?v=XEblO644 views

49) Functions (Part III)Even more examples of function exercises. Introduction of a graph as definition of a function. More free lessons at: http://www.khanacademy.org/video?v=5fcRS697 views

50) Functions (part 4)An example of a functions problem submitted by a youtube viewer More free lessons at: http://www.khanacademy.org/video?v=rbt51683 views

51) Domain of a function  Functions and their graphs  Algebra II  Khan AcademyFiguring out the domain of a function Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...719 views

52) Proof: log a + log b = log ab  Logarithms  Algebra II  Khan AcademyProof of the logarithm property: log a + log b = log ab723 views

53) Proof: a log b = log(b^a), log a  log b = log(a/b)  Logarithms  Algebra II  Khan AcademyProofs of the logarithm properties: A(log B) = log (B^A) and log A  log B = log (A/B)769 views

54) Proof: log_a (B) = (log_x (B))/(log_x (A))Proof of the logarithm property log_a (B) = (log_x (B))/(log_x (A))916 views

55) Algebraic Long DivisionDividing one polynomial into another584 views

56) Introduction to conic sections  Conic sections  Algebra II  Khan AcademyWhat are conic sections and why are they called "conic sections"? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...675 views

57) Conic Sections: Intro to CirclesIntroduction to the Circle719 views

58) Conic sections: Intro to ellipse  Conic sections  Algebra II  Khan AcademyIntroduction to the ellipse. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...629 views

59) Conic sections: Intro to hyperbolas  Conic sections  Algebra II  Khan AcademyIntroduction to the hyperbola579 views

60) Conic sections: Hyperbolas 2  Conic sections  Algebra II  Khan AcademyContinuation of the intro to hyperbolas573 views

61) Conic sections: Hyperbolas 3  Conic sections  Algebra II  Khan AcademyPart 3 of the intro to hyperbolas Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...561 views

62) Identifying an ellipse from equation  Conic sections  Algebra II  Khan AcademyPart 1 of identifying and graphic conic sections621 views

63) Identifying a hyperbola from an equation  Conic sections  Algebra II  Khan AcademyPart 2 of identifying and graphing conic sections636 views

64) Identifying circles and parabolas from equations  Conic sections  Algebra II  Khan AcademyLet's identify (and graph) a couple of more conics!721 views

65) Foci of an ellipse  Conic sections  Algebra II  Khan AcademyCalculating the foci (or focuses) of an Ellipse. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...796 views

66) Foci of a hyperbola  Conic sections  Algebra II  Khan AcademyIntroduction to the foci (focuses) of a hyperbola643 views

67) Proof: Hyperbola foci  Conic sections  Algebra II  Khan AcademyProof of the hyperbola foci formula625 views

68) Partial fraction expansion 1  Partial fraction expansion  Precalculus  Khan AcademyIntroduction to partial fraction expansion Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/preca ...724 views

69) Partial fraction expansion 2  Partial fraction expansion  Precalculus  Khan AcademyA more complex problem Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/preca ...602 views

70) Partial fraction expansion 3  Partial fraction expansion  Precalculus  Khan AcademyDealing with repeated factors Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/preca ...616 views

71) Parabola Focus and Directrix 1Parabola as the locus of all points equidistant from a point and a line More free lessons at: http://www.khanacademy.org/video?v=ZJf9s694 views

72) Focus and Directrix of a Parabola 2Finding the focus and directrix of a parabola More free lessons at: http://www.khanacademy.org/video?v=1Jm9r806 views

73) Two Passing Bicycles Word ProblemAlgebra word problem involving two bicycles passing each other. More free lessons at: http://www.khanacademy.org/video?v=Nx4Xk699 views

74) Passed Bike Word ProblemFun algebra word problem involving a train passing a bike. More free lessons at: http://www.khanacademy.org/video?v=P03lj709 views

75) Passing TrainsTrains passing at different rates. More free lessons at: http://www.khanacademy.org/video?v=qLLjD616 views

76) Overtaking Word Problem3 people overtaking each other at different rates More free lessons at: http://www.khanacademy.org/video?v=LYWUH861 views

77) Early train word problem  Linear equationsFun word problem that is almost a brain teaser.778 views

78) Officer on HorsebackNot quite a brain teaser but fun nonetheless! More free lessons at: http://www.khanacademy.org/video?v=IPJAi776 views

79) Rational inequalities  Polynomial and rational functions  Algebra II  Khan AcademyTwo ways to solve a rational inequality (or an inequality involving a fractional expression)718 views

80) Rational inequalities 2  Polynomial and rational functions  Algebra II  Khan AcademySlightly harder rational inequality problem669 views

81) Interesting Polynomial Coefficient ProblemFinding the coefficients of a third degree polynomial given 2 roots and the yintercept More free lessons at: http://www.khanacademy.org/video?v=hypi8751 views

82) Geometric series sum to figure out mortgage payments  Precalculus  Khan AcademyFiguring out the formula for fixed mortgage payments using the sum of a geometric series Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/preca ...712 views

83) Introduction to function inverses  Functions and their graphs  Algebra II  Khan AcademyIntroduction to Function Inverses Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...643 views

84) Function inverse example 1  Functions and their graphs  Algebra II  Khan AcademyFunction Inverse Example 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...766 views

85) Function inverses example 2  Functions and their graphs  Algebra II  Khan AcademyFunction Inverses Example 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...640 views

86) Function inverses example 3  Functions and their graphs  Algebra II  Khan AcademyFunction Inverses Example 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...668 views

87) Direct and inverse variation  Rational expressions  Algebra II  Khan AcademyUnderstanding direct and inverse variation Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...741 views

88) Recognizing direct and inverse variation  Rational expressions  Algebra II  Khan AcademyExamples of variables varying directly and inversely Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...691 views

89) Recognizing odd and even functions  Functions and their graphs  Algebra II  Khan AcademyEven and odd functions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...702 views

90) Connection between even and odd numbers and functions  Algebra II  Khan AcademyA possible reason why even functions are called "even" and odd functions are called "odd" Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...774 views

91) New operator definitions  Functions and their graphs  Algebra II  Khan AcademyGetting comfortable with evaluating newly defined function operators Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algeb ...704 views

92) Proof by induction  Sequences, series and induction  Precalculus  Khan AcademyProving an expression for the sum of all positive integers up to and including n by induction669 views

93) Alternate proof to induction for integer sum  Precalculus  Khan AcademyAnother way to prove the expression for the sum of all positive integers up to and including n699 views

94) Setting up proportions to solve word problems  7th grade  Khan AcademySome examples of writing two ratios and setting them equal to each other to solve proportion word problems Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/ma ...772 views

95) Converting repeating decimals to fractions 1  Linear equationsExamples of how to convert basic repeating decimals to fractions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/a ...749 views

96) Converting repeating decimals to fractions 2  Linear equationsConverting more interesting repeating decimals to fractions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/a ...559 views

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