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....”
- 08:13 “Q equals to 2. I have y minus x over 4 equals to 3 and 3y plus x equals to 23. That's what I want to solve. I will solve this. y minus x over 4 equals to 3. Equation 1. I want it to be the second equation. The seventh eq...”
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.
- 07:56 “One cup of maize is Sunera. She also sells rice Parkop at double the price of the maize. So one cup of rice is double the price of maize. One cup of rice of one cup is double the price. That is two times the price of mai...”
- 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.”
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.
- 14:21 “So I'll just stop this now. 2x plus 3y plus 5x plus 2y. How do you solve this? The first thing you do is to rearrange. In such a way, where some variables are together and the others are on the other side, this way. So s...”
- 01:36 “Here we deal with alphabets majorly, such as X or Y to represent the unknown values. Here are some examples of algebraic expressions. We have two X plus 10 Y plus one. You can note that it does not have an equal sign. Wh...”
- 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...”
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...”
- 12:57 “It says find the equation to whose roots are two of a five and minus one number one over two. So if you're gonna do that, it's the same way you figure out the fact that yes, we can also say let's X be two of a five, and...”
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.
- 26:02 “minus 28 x plus 12 is equal to 0 and also number two if you are given an equation to x squared plus x minus 12 is equal to 0 you need to find the value of 1 over alpha plus 1 over everything squared thank you for watchin...”
- 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...”
- 12:42 “the value for B to be -2 we can go ahead to find the value of any roots we are given to find for instance in the example that we want to try saying find the value for find the value for 1 over alpha minus 1 over beta eve...”
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.
- 07:10 “Then two is common minus two is common here we have minus two into bracket y minus four equals zero. We can see that one minus four is common between these we have y minus four into y minus two or equals zero. So it mean...”
- 06:18 “two raised to power x or raised to power two. We use what we call the power law yeah. So minus six raised to power two raised to power x plus eight equals zero. So let's why equals two raised to power x. So it means wher...”
- 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...”
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...”
Equilibrium of Forces
This lesson covers the concepts of static and dynamic equilibrium. It explains resultant and equilibrant forces, the moment of a force, and the conditions for equilibrium under non-parallel forces. The lesson also discusses the center of gravity and its effect on stability.
- 03:23 “This third force, which is equal in magnitude by opposing direction of resultant force, is called equilibrium force. Therefore, resultant force is that single force that act alone and has the same effect in magnitude and...”
- 01:51 “a body that moves with time. A body is set to be in equilibrium when all the forces acting on the body cancel out, that is, the resultant of all the forces acting on the body is zero. What is resultant and equilibrium fo...”
- 02:37 “that are facing each other and they are pulling the rope. If none of them is falling, that means the rope is in equilibrium. But if one is falling and the other is not falling, that means there's no equilibrium. Now from...”