In 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.
Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/more-percent-problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
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https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/taking-percentages?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
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 higher-level 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.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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https://www.youtube.com/watch?v=X2jVap1YgwI
Note: All Khan Academy content is available for free at (www.khanacademy.org)
The mean value theorem applies to a function Ä over an interval [_,_] under the conditions that Ä is differentiable over (_,_) and continuous over [_,_]. See how we determine these conditions given a graph.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/e/conditions-for-mvt--graph?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/v/conditions-for-mvt-table?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/v/mean-value-theorem-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.
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https://www.youtube.com/watch?v=PnqPan7AyJE
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Introduction to using the quadratic formula.
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/quadratic_equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/proof-of-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
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https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/solving-quadratic-equations-by-completing-the-square?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
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https://www.youtube.com/watch?v=i7idZfS8t8w
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Sal composes f(x)=2x-3 and g(x)=½x+3, and finds that f(g(x)) ≠ g(f(x)) ≠ x, which means the functions are not inverses.
Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-invertible-func/v/determining-if-a-function-is-invertible?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath
Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-verifying-inverses/v/verifying-function-inverses-by-composition?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath
High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
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https://www.youtube.com/watch?v=PJIL0kRHND0
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Let's do one more decimal division problem together but change it up. This is one with a decimal divisor and will require you to shift the decimal first.
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/e/dividing_decimals_3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/v/dividing-decimal?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
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https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/v/dividing-a-whole-number-by-a-decimal?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra
Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off!
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https://www.youtube.com/watch?v=Nqts8zW8RxM
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Estimating the product of two, 2-digit numbers
Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplication-7-old-video-giving-more-examples?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic
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https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplication-6-multiple-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic
Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started?
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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https://www.youtube.com/watch?v=tx2Niw7aJJ8
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Factor -4t^2-12t-9 as -1(2t+3)(2t+3), or -(2t+3)^2.
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-3-special-product-forms/e/factoring-perfect-squares?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-3-special-product-forms/v/factoring-perfect-square-trinomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
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https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-3-special-product-forms/v/factoring-to-produce-difference-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
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https://www.youtube.com/watch?v=XuwldEyWjH0
Note: All Khan Academy content is available for free at (www.khanacademy.org)
What the angle bisector theorem is and its proof
Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/angle_bisectors/v/angle-bisector-theorem-examples?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
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https://www.khanacademy.org/math/geometry/triangle-properties/angle_bisectors/v/inradius-perimeter-and-area?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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https://www.youtube.com/watch?v=TpIBLnRAslI
Note: All Khan Academy content is available for free at (www.khanacademy.org)