Solving Simultaneous Linear Equations
This lesson covers how to solve simultaneous linear equations using substitution and elimination methods. It also explains how to identify linear equations and includes examples for practice.
- 00:00 “Hi everyone, I am Atolagbe Michael, your mathematics teacher. The topic today is simultaneous linear equation. At the end of today's lesson, you should be able to do the following. One, recall and identify simultaneous l...”
- 24:02 “2x plus 3y equals to minus 7. x over 2 plus y over 2 equals to 7 over 2. x plus x over 4 plus y over 4 equals to 15 over 4. And the last question. 3y minus 2x equals to 21. 4y plus 5x equals to 5. Thank you for watching....”
- 09:57 “They want to make the stability of the formula. What we're careful? Always go for the one that is linear. Or a variable that has no coefficient that is greater than 1. I have 3y, the coefficient is 3. The coefficient of...”
Exponential Equations
This lesson covers the definition and properties of exponential equations. It explains how to solve exponential equations of linear form by ensuring the bases are the same. Examples are provided to illustrate the process of finding the unknown variable in these equations.
- 01:30 “x equals b is an exponential equation. So example of a linear in this, our linear in this share equation. So we have two raised to power x equals to two, one over two raised to power x equals eight. Then we also have 0.2...”
- 02:17 “if the base are the same, then you must have the, we have, if for example, you have a raised to power x equals a raised to power one, you can see that we have the base, the base are the same thing. So our x now can be on...”
- 00:00 “Good day, My name is Afeez. I'm going to take you further math and our today's topic is going to be a continuation of indices, which is called Exponential Equations. At the end of this topic, we should be able to know ho...”
Roots of Quadratic Equations
This lesson covers how to find the sum and product of the roots of a quadratic equation. It also explains how to form a quadratic equation given the roots and states the conditions for equal roots, real roots, and no roots. Additionally, it discusses the relationship between a line and a curve in te
- 06:35 “If I want to, maybe I should just bring you into this. Look at, if I have this to be a quadratic equation, as I just put on the board for you. And I have said this is also a quadratic equation. X squared minus alpha plus...”
- 18:23 “So, yeah, I was making a point at a time. If I have six over 10, I can now divide through by two. So if I have two in six x, me three, and two in 10 x, me five. So I can have three over five equals zero. So with this, I...”
- 09:00 “It's very simple when you have a question to apply it with, so that you can only stand very well. We're gonna try some of this example to actually drive it home and know that you can always form a quadratic equation if y...”
Translating Word Problems into Equations
The lesson teaches how to translate word sentences into mathematical equations. It covers the use of variables to represent numbers and how to express word problems as algebraic expressions. Students will learn to solve simple equations and check their answers.
- 00:02 “Hello, my name is Dorcas Awaye. I'll be taking you mathematics today, and today's topic is algebraic processes, talking about simple equations. At the end of today's teaching, you should be able to translate word sentenc...”
- 19:25 “We've come to the end of today's class. Thank you so much for watching. My name is Dorkas Aoye, till next time.”
- 12:06 “So we have 90 Q. So because we have the same terms, we can easily add them together, which gives you 140 Q. So because the value of Q can vary, just because we had 2 Nera already, that was how we could get the value 280....”
Quadratic Equation and Roots
This lesson covers the formation of quadratic equations from given roots. It explains how to find the sum and product of the roots and demonstrates solving for unknown coefficients in a quadratic equation. Examples are provided to illustrate these concepts.
- 16:52 “out of it for me if I fix it this one in here look at what I'm going to have or shout instead of writing this alpha squared plus beta squared I'm going to write all these and they fix the product on it so with that is it...”
- 16:01 “this gives me alpha squared plus beta squared over alpha plus beta squared minus I can always take care of this because I know the value of my product to be 3 over 8 but I can still relax and fix it later on so in this c...”
- 15:16 “takes me to the real expansion of returns but I still have a thing to do here if I find here or some of this that gives me alpha plus beta everything squared alpha plus beta everything squared I mean alpha beta everythin...”
Simplification of Algebraic Expressions
This lesson covers the definition of algebraic expressions and their components, including terms and coefficients. It explains how to identify like terms, perform arithmetic operations on similar terms, and simplify expressions by inserting or removing brackets.
- 12:46 “The same thing applies to the second example. The second question, 10 minus x plus two y. So looking at this, the coefficient of y is plus two. The coefficient of x is one. There's an invisible one here. You don't just h...”
- 13:33 “Why? Because they contain the same variables, which is p. We can also add 3x plus 4x. Because both terms have the variable x. We can combine the terms using the operation that is given, which is in this case, the additio...”
- 00:02 “Hello. My name is Dorcas Awaye, and today I'll be taking you mathematics. Today we'll be discussing the implication of algebraic expressions. At the end of today's teaching, you should be able to identify and collect lik...”
Similar Shapes
This lesson covers the identification of similar shapes such as triangles, rectangles, squares, cubes, and cuboids. It explains the criteria for similarity, including proportional sides and equal angles. The lesson also includes methods for enlarging figures using scale factors and calculating lengt
- 25:22 “these 2, if it cannot be in this form then your answer is wrong, now the last part is applying it to water problem, how do we apply it to water problem, how using your scalar factor to solve a problem, olatical wants to...”
Cost of Production
This lesson covers the concept of cost in economics, focusing on the cost of production. It explains different types of costs, such as fixed and variable costs, and discusses the factors of production that contribute to overall costs.
- 24:19 “multiply by words, the quantity, the quantity is the same thing as the output, so it trades it to your A, okay, trades it to your A, what do you have, three, so six times three, give us what, 18, and that's how you have...”
- 30:30 “So you will give them the answer according to the demand of the question. The first one says as what output is AC at the minimum? This is your AC. What's the minimum AC up? Yes, five. Trace it to your quantity. Four. AC...”
- 16:04 “you calculate your worth, your total cost, please take note, your total cost here is going to be worth, it's going to be fixed cost, plus worth, plus variable cost, okay, remember the first one I get to you is worth, is...”
Heat and Temperature
This lesson covers the definitions of heat and temperature, their differences, and the effects of heat on substances. It explains the kinetic molecular theory and how heat causes changes in state, such as solid to liquid and liquid to gas.
- 20:35 “For example, the original length, L1, equals 10.0 meter, and L2 equals 10.50 meter. Our theta 1 equals 30 degree, and theta 2 equals 80 degree. Now, using our formula, linear expansivity equals L2 minus L1, L1, multiplie...”
- 19:48 “multiplied by change in temperature, which is equal to theta 2 minus theta 1. Therefore, the new length, the new length, which is L2, is not equal to L1 plus linear expansivity, multiplied by original length, and bracket...”
Distance and Displacement
This lesson explains the concepts of distance and displacement in translational motion. It covers how to measure distance without considering direction and how displacement includes both distance and direction. The lesson also discusses the position of an object in relation to a reference point.
- 06:28 “We have John traveling for this, that is 250 miles. And it's going back south, which is 105 miles. That is in the south direction. This is going in the north direction. If you actually want to find the displacements goin...”