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.
- 00:00 “Good day, My name is Afeez. I'm going to take you further math and our today's topic is going to be a continuation of indices, which is called Exponential Equations. At the end of this topic, we should be able to know ho...”
- 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...”
- 00:45 “when you have an equation of the form, when you have the equation of this form, e raised to power x equals b, then this is what we call Exponential Equation or we call it in this share or in this share equation. So you c...”
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.
- 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.”
- 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...”
- 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...”
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...”
- 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...”
- 20:52 “Like it says here. Multiply 3 by the second term, like I explained earlier, and you get 3b. At the end of the day, you get 6a plus 3b. More examples. You can solve this on your own. I'll just solve just one of it. Expand...”
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...”
- 17:18 “ion 3 chloride. The next KOH plus CO2 to give us K2 CO3 plus H2O. And then the next is C6 H2FO6 plus O2 to give us CO2 plus H2O. And the last is KCLO3 to give us KCL plus O2. All the equations are no balance. You need to...”
- 08:19 “Capulate, the oxidation number of sofor in N-A2-SO4, which is sodium t-troubles of its 6. Sodium t-troubles of its 6, the way that I pronounce it, you will discover that I've given you an int to the answer. What is the v...”
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...”
- 30:51 “So what do we have? K multiplied by... What is the old one that you have? You have 1.5. It is the old one. The old one is given to be 1.5. 1.5. So remember, we have gotten our K. What is our K? Our K has already been arr...”
- 23:43 “triangle, BAC, that's remember from the scalar, from the scalar that we meant comparison, now you will see why the scalar of 2 can also be checked, so that gives me 384, the bigger one, over 96, now if you look at 96, so...”
Solution and Solubility
This lesson covers the concepts of solution, solute, and solvent. It defines solubility and explains different types of solutions, including saturated, unsaturated, and super saturated solutions. Factors affecting solubility and calculations related to solubility are also discussed.
- 27:44 “molar mass of lead nitrates, now lead is 207, lead is 207, then our nitrogen is 14, oxygen is 16, but the time you carry out all the addition, you know, the mathematics, so you arrive at 331 grams, then number of moles o...”
- 26:58 “actual to express in more PDNQ, now already here you have to bring out what is it that we're giving, here, we are giving basically the mass, all right, then now we're giving the volume, take note of that, all right, we'r...”
- 33:35 “so now, to do that, we need to multiply this number of moles by the molar mass of water, of that potassium nitrates, which is 1, I mean, potassium chlorides, which is 1, 22.5, you multiply by 0.39, so at the end of the d...”