Algebra is a powerful subject. It seems to be everywhere these days, and we’re seeing it in all its forms: algebraic expressions, algebra problems, and even algebra software! That’s because algebra is simply mathematical reasoning applied to abstract concepts. It’s the study of abstract ideas—things like multiplication, sums, averages, and proportions. And this kind of reasoning is what makes math so great. Because in math you’re dealing with logical thinking and with understanding relationships and cause and effect.
In other words: math is for solving problems. But not all math problems can be solved using the standard approach: approximation, substitution, elimination. The correct solution may take a while to come – especially since we don’t know exactly how many times we'll have to factor a number or perform an operation before we get it right. That's why doing math properly — from understanding algebra to calculus — is so important and so challenging.
As such, this video David Seff will walk you through several ways that you can improve your abilities in order to tackle harder problems more efficiently and accurately. So let's get started!
What is Algebra?
Algebra is the study of abstract concepts like in the sciences and mathematics. This is why it's so easy to grasp: you're dealing with numbers, letters, and variables. If you've ever wondered about these things, this is the article for you! According to David Seff, the main idea of algebra is the same no matter what field you study. While the manipulation of numbers might be different, the principles, the language, and the tools are the same.
What is Calculation?
When you step into the world of Calculus, the language and ideas change. This is because Calculus is a broader field that studies much more than just numbers. You’ll still solve algebraic equations using the same methods, but the ideas will be different. When we solve equations, we’re actually performing what’s called Calculus. David Seff shares that this is a branch of mathematics that studies how the rate at which one quantity increases or decreases changes with time.
How to Solve Algebraic Equations
When you first start solving algebraic equations, it’s important to have a good understanding of what’s happening. David Seff indicates that this will help you to identify errors more quickly and easier. First, you need to know the variable (or terms) you’re working with. In the example below, we know the variable is a number, and the number we’re working with is 4. In the first equation, we have the number 4 times itself. This means that 4 times itself is also a number. So, in this equation, we know what variable to substitute into our equation to get our number. In the second equation, we have 2 times itself. Remember: in algebra, anything that’s not a number is a variable. So, in this equation, we know what variable to substitute into our equation to get our result.
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