SLC-S22W1/Variables and Expressions

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It is always a joy for me whenever I have the opportunity to participate in the Steemit contest weekly and today I will be participating in the crypto academy community contest. Stay tune below.

Of course, there are two major types of variables and expressions which I will be explaining below.

1. Polynomial Expressions

This will certainly be the first I will be talking about. Of course every polynomial expression is categorised as under the algebraic expression as it is made up of variables but the main issue is that it only deals with non negative integers. When it comes to the polynomial expression, it is usually expressed to have more than one and two terms. We have the monomial, the binomial and the trinomial.

Algebraic Example:

For the algebraic expression, I will be making use of the quadratic polynomials which I will be talking about.

Practical Example:

For the practical example, I will be making use of the projectile motion which a lot of us also believe in as the projectile motion can help to determine the height of the object at every given period of time.

2. Rational Expressions

When we talk about the rational expression, it is talking about a fraction. In fraction, we have both the numerator and the denominator as they are polynomials. But one constant rule in fractions, the denominator must never be zero.

Algebraic Example:

For the algebraic example to back up my explanation, I pointed out the numerator and the denominator.

Practical Example:

For the practical example, I will be making use of the engineering field and that is the popular ohm's law we all know. This is the expression below.

Alright I will be discussing with us today ways I believe one can actually evaluate algebraic expression most especially if values of variables are given.

Step 1: Understand the Expression

The first thing I will certainly do is for me to fully understand the expression. I will make sure I actually identify variables and the constants. When you are able to identify those variables and what they stand for, then you will be able to recognise the operation whether you will start with addition or subtraction and many more.

Example.

Step 2: Substitute Given Values

The next step I will follow is to substitute the given values. I have explained it below also in the picture as you can see.

Step 3: Follow the Order of Operations (PEMDAS/BODMAS

Then what I will need to do is to follow the order of operations. As I am taught in class, I will be making use of PEMDAS and talk much more on that. There are four detail steps I will follow making use of PEMDAS.

• Parentheses/Brackets: I will staff by explaining the expressions in the brackets.

• Exponents: Then I will try to sort out the powers and the roots also involved in the expression.

• Multiplication Or Division: Then I will work on carrying out a multiplication or Division equation.

• Addition and Subtraction: Then I will work on the addition and subtractions also for the variables.

I will be explaining below some of the workings I calculated based on the example above.

I will work it out below;

These are the step by step calculations I made from that image which I solved above.

Alright I will be explaining in details using my calculations to explain all the three calculations.

Question 1

Question 2

Question 3

For the task 4, I was given two questions to solve which I will be solving and it will definitely taste so great.

Let me start from the first question.

Question 1

Suppose there's a bakery selling a total of 250 loaves of bread per day. They are selling whole wheat and white bread loaves with numbers of whole wheat loaves sold being 30 more than the number of white bread loaves. If x is representing number of white bread loaves sold out and bakery is making a profit of $0.50 for each white bread loaf and $0.75 for each whole wheat loaf then please write an expression for representing bakery total daily profit.

Question 2.

Suppose that cost of renting a car for a day is re-presented by the expression 2x + 15 and here x is the number of hours in which car is rented. If the rental company offers a package of 3x - 2 dollars for customers who take car at rent for more than 4 hours then write an expression for the total cost of renting the car for x hours and show how you simplify it.

I invite @josepha , @goodybest and @khursheedanwar @jyoti-thelight to drop a very constructive comments on this post and also to participate in this contest.