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.
- 13:06 “The value of y is 5. Put that into the equation. Then that will give us 23 minus 15. 23 minus 15 will give you what? It. So with this, you have been able to substitute using substitution method, the value of x and the va...”
- 17:47 “Divide by 2. If I divide by 2, I'm going to have 5 over 2P plus 2R divided by 2. That gives us R. Then 2 divided by 2, I have 1 here. Code is equation 3. Now I can combine 1 and 3 together now. 1P plus R equals 1 over 4....”
- 13:56 “Don't forget this elimination. To eliminate A. Now P plus R equals 1 over 4. 1. 5P plus 2R equals to 2. Equation 1. I have a fraction here. There are two ways to this. I will solve and I want you to follow what you have...”
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.
- 14:30 “And you may not use inverse operation. Let me teach you this. You can't go like this. Once you have something like this, you want to always find a way to make the one with a variable alone on one of the sides, making it...”
- 13:44 “And the first of the three numbers is A, as it is C in A, determine the rest. These are the rest, but what is the value? That is what we want to get now. Because we can get the value. See, let's see if we can get the val...”
- 02:23 “sweets you have data and then you spend it on transport. So you can easily represent this with Z, represent this with D and represent this with S. So for your 500 NARA, this is, to know how much is left every month, say...”
Factorization of Algebraic Expressions
This lesson covers the factorization of simple algebraic expressions and quadratic expressions. It includes methods for identifying factors and solving related word problems.
- 07:51 “Let's trace it out. What would be the possible common factors between these things? The possible common factors that can pick up, pick out themselves. Looking at it carefully, what do we have? We have 3, top up, a 3. We...”
- 23:34 “Reverse, verse. So, in what problem? Pick out the variables. The variables here are the boy and the girl. So, let's go. I'll pick it out. Pick, you say, the boy and the girl. You just say, let the boy, let the girl, let...”
- 21:57 “So you pick it up x plus 4, the one by the side, and I have x plus 4, I conclude. We done. Now, the last part of the factorization process is word problem. They're not giving an expression. Given the word form, how do yo...”
Subtraction in Binary Numbers
This lesson covers the subtraction of two 3-digit binary numbers. It explains the four basic rules of binary subtraction, including borrowing when necessary. Students will practice solving binary subtraction problems using these rules.
- 11:10 “It means that the year is left with only one. Only one. Just note becomes important. Take note of those. That's manipulations in the figure making it flexible to use. So I have plus two. Plus one coming at the base as pl...”
- 05:37 “One minus zero one minus zero gives what one? But zero minus one. That's the rule. That is the exemption zero minus one. That's the rule. That's the exemption. What do you need to do? You borrow one from here. You borrow...”
- 16:20 “Take it off. Subtraction. Follow your four basic rules. By now, I'm expecting that you are familiar with the four rules. Four rules, I have zero minus zero, give zero. I have one minus zero, gives one. I have one minus o...”