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.
- 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...”
- 06:22 “The same principles apply in algebra. But remember that in algebra, we use a letter of variable to represent a number. For example, a plus a plus a plus a is the same thing as four multiplied by a. In algebra, we normall...”
- 05:34 “You can as well be, for example, for four apples. Instead of just one plus one plus one, you can still say four times one apple. It is the same thing. It gives you the same four apples. So that means, apple in four place...”
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.
- 07:57 “can easily say that two raised to power x equals four. Then this is two raised to power x equals two raised to power two. Then since we have the same base therefore x equals two. That is when our y equals four. So when y...”
- 03:56 “it means that if we have, how do we make this one to have the same base with the right-hand side? So we have, this is going to be 25 all over 100. That is 0.25 give us 25 over 100 all is power of x plus one equals. And t...”
- 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...”
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.
- 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...”
- 18:32 “the cost, what will be the cost, so remember, let's assume, that's what, you are having on an error, as the worth, as a cost of a bag, and then you know, you quantity you have in the bag is worth, is 20, so for you to kn...”
- 17:46 “okay, is your worth, is your total cost, the combination of fixed cost and variable cost, is not worth that, so without wasting time, let's move to the next one, and this is average cost, average cost, when we say averag...”
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.
- 10:21 “So our total income is 280 Nera. So if these values that we imputed, that is 50 cups. And we know the number of cups you bought and then 45 cups. Rather, if two Nera was not inclusive in this expression, if we did not gi...”
- 03:09 “can easily be put simple. The entire word here can just be put simple, simply like this, with algebraic expressions. Use footsteps in solving world problems with our algebraic expressions. For example, you have three con...”
- 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...”