Solving Linear and Quadratic Equations
This lesson covers the methods for solving simultaneous linear and quadratic equations using substitution. It explains the definitions of linear and quadratic equations and demonstrates how to manipulate these equations to find solutions.
- 09:57 “Example two now. X square plus Y square is equals to 29, equation one. And X plus Y is equals to seven, equation two. Always step note. When you are using substitution method, you start from linear equation. You concentr...”
- 01:47 “that has a general formula AX square plus BX plus C is equals to zero. We are A is not equals to zero. And the exponent of quadratic equation is two. It has two ascetics power. Now, solve the quadratic equation and linea...”
- 25:41 “to be three of a four, or x is equals to minus two. Substitute the value of x to your quadratic equation three. Then you get your value of y to be 27 over four, or 6 over number three over four. Also, when you are solvin...”
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.
- 01:00 “I have two equations on the board, X plus 4 equals to 7, X squared plus 4 equals to 7. The power of the unknown here, that is X, is 1. Any time you have an equation, which asks a power of 1. So, we'll call such equation...”
- 01:51 “Example 1. Use the substitution method to solve the following PS of simultaneous equations. A. Q plus 2R equals to 8. R minus Q over 2 plus 1 equals to 0. I'm to use substitution. Don't forget I told you, we are going to...”
- 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...”
Basic Operations on Whole Numbers
This lesson covers addition and subtraction of whole numbers, including how to align numbers by their place values. It also explains multiplication and division by 10, 100, and 1000, and introduces the use of the BODMAS rule for solving mixed operations.
- 40:39 “So, I've given you short method, now we go to the next question, which is using long division method, using long division method. So, now, so that's a question, that's question 2, using long division method, that's the f...”
- 43:21 “So, and now when you subtract 25 minus 25, you have 0, so your answer using long division method is 1, 3, 5, so that's how to perform long division method. So, now, now I will also give more examples on, so the next ques...”
- 41:36 “you'll put 6, 275 in the square root sign, then you have 5 written outside, I want to use the long division method now. So, now, 5 in 6 is 1, you write the answer here, 1, 5 in 6 is 1, so 1 times 5, 1 times 5 is 5, you w...”
Graphical Method of Simultaneous Linear Equations
This lesson teaches how to solve simultaneous linear equations using the graphical method. Students will learn to create a table of values, plot the equations on a graph, and identify the point of intersection as the solution. The focus is on using the x and y axes correctly.
- 03:13 “a plane, if you are expected to solve using graphical method. There's a need to work with the graph. Now, solve graphically the system of some of those three line equations. x plus y equal to 5. x minus y equal to 3. Now...”
- 11:26 “Now, my x, this is it. So, substitute it in, I substitute when x equal to 1, when x equal to 1, x equal to 1. I will have y equal to minus, y equal to, we have 1 minus 3, 1 minus 3. Remember, negative all positive down,...”
- 06:29 “in the rules, remember I said you're not able to identify your table. Now, let's just imagine we're given the value of x. We're not given the value of x. Let's work with, we're not given. First, we're not given the value...”
Addition and Subtraction of Fractions
This lesson covers how to add and subtract fractions with the same and different denominators. It explains finding the least common multiple (LCM) to create equivalent fractions for addition and subtraction. Examples are provided for practice.
- 10:01 “is used for orange? So the entire land, remember the last time we did fraction, I told you the old, a fraction is a part of the old and the old, the entire land is a unit which is equals to 1. Every other fraction adds u...”
- 03:19 “me look at it together. Example one, we have five over six plus three over eight. So the LCM of six and eight is 24. I hope you can remember how to solve the LCM. Please don't forget. The LCM of six and eight is 24. So w...”
- 19:54 “After make the denominator, 20, that means I have to multiply 5 by 4 to have 20. Meaning whatever I do to denominator, I have to also do for numerator. So 22 times 4, 5 times 4. Now give me 88 over 20. Then for 13, 13 ov...”
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...”
- 16:54 “is equal to K multiplied by the length of the given shape, the new length you want to get, is equal to K multiplied by the length of the given shape, that means what does that mean, substituting what does that mean, what...”
- 29:44 “That will give you a divided by that will 3. So your K factor, your scalar factor is 3. That means the shadow of the lamp, compared to the shadow of Ola de Poe is 3 times. Take note of that. Now calculate the height of t...”