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.
- 16:34 “the perfect square. So with that, I will give you a exercise to do the expansion. That's opening of bracket for the second and for the third. So I've been able to open the bracket, this means they are 2. So a minus b, a...”
- 13:16 “Then I have plus 2 into 14 is 7 and I have x squared, taking out x to the power 4, will be left with 1, 2x. Oh, beautiful. Now, this has given us a better idea on the factorization process. Which gives you wider view to...”
- 14:01 “This is where the values or the unknown has a square. That means it has a power of 2, but look at that. We have three identities in what, in quadratic, a plus a square gives a square plus 2 a b. Plus b squared. How does...”
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.
- 03:55 “Plus 2 is another term. A term can be a single number, positive or negative, or a variable, one or more numbers and variables that have been multiplied together, terms by terms, and are separated by addition or subtracti...”
- 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...”
- 08:47 “Now, to say further on that, I'm going to talk about coefficients. Coefficient is the number or factor that has been multiplied by the variable. In this expression, minus four x, the coefficient is minus four. In this ex...”
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.
- 03:58 “That is X plus five. Because I haven't mentioned how much I earn. So how much I earn can be represented with X. So if how much my brother earns is X, or X in the era, and I say I earn five NARA more than my brother, that...”
- 11:09 “So we say Q. And rice adds double the price of maize. That is two times Q. If she sold 50 cups of maize and 45 cups of rice, what was her income? So 50 cups of Q, that is 50 of Q, 50 Q plus-- this is 2Q plus 2Q times 45....”
- 06:17 “So in 10 years time, that is when you have plus 10 years, that is what it means. In 10 years time, our horde will be the daughter B. So daughter's age would be is equal to X divided by two plus 10. In 10 years time, daug...”
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.
- 05:30 “with this we have minus x minus one equals two. And this would be minus x, we collect the like times, we have minus x equals two plus one. Our minus one will be called plus where we transfer this to the other side. So we...”
- 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...”
- 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...”
Chemical Symbols and Formulae
The lesson covers the symbols of the first 20 elements and how to write chemical formulae and equations. It explains the differences between elements, compounds, and mixtures, as well as the concept of radicals and valency. The laws of conservation of mass and constant composition are also discussed
- 09:08 “for ordinary compounds, the summation is zero. 2 times 1, 2 plus 4. 4 times minus 2 is minus 8, equals to zero. Sofor take our collect-like terms, take the numbers to the other side minus 8 to the other side of the compo...”
- 07:31 “with a radical, I put brackets. So the formula is C-A-O-H2 for potassium. Hydrozyde. I believe you understand that example. The next is, how do I name? How do I name compounds? How do I name formulas? When they stand tha...”
- 06:42 “cis, which is 2. Then you write tetra-osophage cis. And the number before on top of potassium, which is 1. Because it's 1, I don't need to put it there. The third one, potassium is 2 plus, potassium 2 plus. Hydrozyde is...”