Basic Algebra: Understanding English Words

Basic Algebra: Understanding English Words

Basic algebra is a fundamental mathematical concept that, although it might seem abstract when taught with symbols like x and y, also applies to everyday life situations. We often encounter basic algebraic concepts while solving problems without realizing it, such as calculating how much we need to pay if we have $5 left from our initial budget of $15 after buying two items. In this context, let's explore some common algebraic terms using English words found in daily interactions.

Addition and Subtraction

Adding numbers means combining them; take 2 apples and 3 more = 5 apples. Similarly, subtracting means taking away; I have $8 left because I spent $6. This simple addition and subtraction can be extended to any number you may come across during your day. For example, if you buy something that costs $7, you will have only $2 left until you get paid again next week.

Equations and Variables

Equations represent relationships between different quantities or values. They usually contain an equal sign (=) which indicates that both sides must balance each other out. A variable represents a value that can change depending upon certain conditions. It's commonly denoted by letters like 'x', 'y', or even names. Consider the following examples:

1. If 9+x=20, what does X equal? To solve this equation, you would subtract 9 from both sides, resulting in x equals 11.
2. John bought a new TV for his room for $700 and has $200 remaining in his account. By setting up the equation 700 - 200 = ?, you can determine that he still needs to save another $500.

Parentheses and Order of Operations

Parentheses help clarify groupings within equations, making sure they get done first before moving onto other operations. The order of operations tells us exactly how we should process these expressions: parenthesis first, followed by exponentiation, multiplication & division left to right, and then addition & subtraction left to right. So for instance: (2 + 3) * (8 - 5) = 20.

Understanding these basics principles of algebra allows us to become better problem solvers and make informed decisions based on given information. Whether it's deciding how many people fit into my car comfortably or estimating how large a tip to leave at restaurants, basic arithmetic skills serve as essential tools for navigating our lives.