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117 Videos & Notes
• algebra
Quick revision on factorising , quadratic equations , simultaneous equations and linear equations
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• Probability: Lesson 1- Basics of Set Theory
added by aanoshah Sets
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Basics of Set Theory for Probability
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• How to Solve Inequalities (NancyPi)
MIT grad explains solving inequalities. This video focuses on solving linear inequalities. It shows when to switch the sign of the inequality, if you divide or multiply by a negative number, and is an introduction to how to solve inequalities in algebra. To skip ahead: 1) For a basic example of SOLVING AN INEQUALITY, skip to time 00:34. 2) For when you have to FLIP THE INEQUALITY SIGN when DIVIDING BY A NEGATIVE number, skip to 1:26. 3) For when you need to reverse the inequality symbol because you're MULTIPLYING BY A NEGATIVE number, skip to 2:42. The problems here are multi-step inequalities, or two-step inequalities. Nancy formerly of MathBFF explains the steps. Follow Nancy on Instagram: https://instagram.com/nancypi Twitter: https://twitter.com/nancypi Algebraic equations and inequalities: what is inequality math? What does inequality mean? An inequality is a number sentence that uses an inequality symbol instead of an equality symbol (=), which means it has a greater than sign, less than sign, greater than or equal to sign, or less than or equal to sign, instead of the normal equal sign in an equation. One linear inequality definition is: an inequality that involves a linear algebraic expression and inequality signs. How to find the solution of an inequality algebra problem: 1) A simple, BASIC LINEAR INEQUALITY example you might see on a solving inequalities worksheet or problem set is the expression 2x + 3 [less than or equal to] 11. You can solve for x just like you would for an equality, or normal equation, by trying to get x alone. This is an example of two-step inequalities, or multi-step inequalities. The first step is to subtract the constant 3 from both sides, in order to move it to the right hand side, so that you have 2x [less than or equal to] 8. The second step is to get x alone on the left side by dividing both sides by 2 so that your answer for the inequality is x [less than or equal to] 4. In this case, solving the inequality used the exact same steps you would use to solve an "equal sign" equation. Sometimes the steps are different from solving normal math equations. Solving for x is the same as solving a linear equality (-2x + 3 = 11) except that if you ever have to divide by a negative number or multiply by a negative number while solving for x, you must flip the sign, or switch the direction of your inequality symbol less than becomes greater than, for example). Here are the two cases of inequality problems WHEN YOU NEED TO REVERSE THE SIGN of the inequality because you're multiplying or dividing both sides of the inequality by a negative number: 2) DIVIDING EXAMPLE: For an inequality like -2x + 3 [less than or equal to] 11, after moving the constant 3 to the right side, you will need to divide both sides by negative 2 in order to get x alone on the left side for the solution. WHEN YOU DIVIDE BY A NEGATIVE NUMBER, you need to reverse the direction of the inequality symbol in your expression. In this example, after you divide out -2, you get x [greater than or equal to] -4 (instead of x less than or equal to -4) for the final solution. This example was also a two-step inequality problem. 3) MULTIPLYING EXAMPLE: For examples like (-1/2)x + 4 [greater than] 7, when you've moved the constant to the right side and have the inequality (-1/2)x [greater than] 3, the fastest way to get x alone is to clear the fraction by multiplying both sides by -2. This will cancel the 2 in the denominator and remove the negative sign in front of x on the left side. But WHEN YOU MULTIPLY BY A NEGATIVE, you have to flip the direction of the inequality symbol so that your answer is x [less than] -6 instead of x [greater than] -6. This problem was also a multi-step inequality. Note on inequality rules: you don't have to switch the symbol if you're adding a negative number or subtracting a negative number: switching the inequality sign is only for when you're multiplying or dividing by a negative number. For quadratic inequalities examples, compound inequalities, inequality math, inequality algebra, inequality equations, inequality symbols, inequality notation, and more algebra solver, equation solver, and inequality calculator practice problems that come up on worksheets, as well as more algebra, algebra 2, and college algebra mathematics videos, check out: http://nancypi.com
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• Factoring the Difference of Two Squares - Ex 1
Thanks to all of you who support me on Patreon. You da real mvps! \$1 per month helps!! :) https://www.patreon.com/patrickjmt !! Factoring the Difference of Two Squares - Ex 1
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• Halves and fourths | Geometry | Early Math | Khan Academy
Our mission to provide a world-class education for anyone, anywhere. All Khan Academy content is available for free at www.khanacademy.org.
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• How to Square an Algebraic Expression
In this video I show you the easiest way to square an algebraic expression, also known as squaring the brackets or squaring the parentheses. There are many ways to do this but in my opinion this is the easiest for anybody who is good at maths. If you find maths difficult then there are other ways that may be easier for you. Website: https://www.simplescienceandmaths.com Facebook: https://www.facebook.com/simplescienceandmaths Credits: Kevin MacLeod: Carefree
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• Junior Cert Constructions (1-15)
This is a video showing constructions 1-15 as you will be required to know for your junior cert on the new project maths course. I hope you find it helpful.
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• Theorems
This a presentation on all the proofs and theorems you need to know. The layout is very easy and clear and should help with your studying
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• Algebra 1 - Defining Sets
One of the most fundamental concepts in Algebra is the concept of a set. This video introduces the concept of a set and various methods for defining sets.
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• Trigonometry Word Problem - Boat and Cliff
In this video I go through a typical exam question where a person is on top a cliff and sees a boat in the water. Typically you are given the height of the cliff and the angle of depression to the boat and are asked to calculate how far the boat is from the base of the cliff. Credit: Patrick Maye
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• How to use the Cosine Rule Formula
In this video I go through two basic questions using the cosine rule. The first is a question where you are required to find an unknown side and in the second you are asked for an unknown angle. Credit: Patrick Maye (Maths Teacher)
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• How to find points of Intersection of a line and a circle
In this video I show you how to find the points of intersection of a line and a circle. Credit: Patrick Maye (Maths Teacher)
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• Junior Cert Geometry Exam Questions 2017 and 2016
In this video I show you three different geometry exam questions from the higher level papers in 2017 and 2016 Credit: Patrick Maye (Maths Teacher)
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• The Sum of Two Cubes Example
In this video I show you a more difficult example of the sum of two cubes. (Simple Science and Maths on Youtube)
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• How to use the Difference of Two Cubes
In this video I will show you how to use the difference of two cubes to factorise an algebraic expression. Credits: Kevin MacLeod: Who Likes to Party Kevin MacLeod: Monkeys Spinning Monkeys Kevin MacLeod: River Valley Breakdown
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• How to do the Difference of Two Squares
In this video I show you how to factorise (factorize) using the difference of two squares method. One easy example and one example that is more difficult. Credits: Kevin MacLeod: Who Likes to Party Kevin MacLeod: Monkeys Spinning Monkeys Kevin MacLeod: River Valley Breakdown
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• Junior Cert Functions Exam Questions, 2015 and 2014
In this video I go through three exam questions on functions from the 2014 and 2015 Junior Cert. Credits: Kevin MacLeod: carefree https://incompetech.com/
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• Junior Cert Functions Exam Questions, 2015 and 2014
In this video I go through three exam questions on functions from the 2014 and 2015 Junior Cert. Credits: Kevin MacLeod: carefree https://incompetech.com/
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• Math is Fun
Math explained in easy language, plus puzzles, games, worksheets and an illustrated dictionary.
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• Scientific Notation: Introduction
To see all my Chemistry videos, check out http://socratic.org/chemistry Learn to convert numbers into and out of scientific notation. Scientific notation is a way to express very big and very small numbers with exponents as a power of ten. It is also sometimes called exponential notation. In this video, we will have an explanation and tutorial, and do practice and example problems.
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