SLC-S22W2/Equations and inequalities.

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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.

Alright for this, I will be explaining the difference that exists between the linear and quadratic equations in a Tabular form.

Linear Equations

When we talk about the linear equations, we call it the first degree equation because the maximum power that can exist in the variable is 1. Most of the time, linear equations always represent a straight line.

General Form Of Linear Equation.

• ax + b = 0

Examples Of Linear Equations.

• 4x + 7 = 0

• x - 8 = 0

Quadratic Equations

When we talk about the quadratic equations, it is called the second degree of equation because unlike the linear equation, you can actually have the maximum power of the variable to be 2. Most times we call those equations parabola in nature most especially when they are drawn.

General Form Of Quadratic Equations.

• ax^2 + bx + c = 0

Examples Of Quadratic Equations.

• x^2 + 7x + 10 = 0

• x^2 + 9 = 0

Differences Between Linear Equation and Quadratic Equations.

Alright for this, I will be explaining the difference that exists between the linear and quadratic equations in a Tabular form.

For this task, I will be discussing two major types of inequalities apart from the one discussed in the class and which is this below.

• Absolute Value Inequalities

• Quadratic Inequalities

Absolute Value Inequalities

For the first one which is the absolute value inequalities, it means there is an absolute value for the variable or let me say for the expression. The solution of the inequality depends on the absolute value.

General Form Of Absolute Value Inequalities

• ∣ x ∣ < a

• ∣ x ∣ > a

Solving Steps and Examples

For me to show the step by step on how to solve the absolute value inequalities and also the examples, I will like to work it on a sheet of paper which is this below;

Quadratic Inequalities

The second form of inequality that I will like to discuss about is the Quadratic Inequalities and which I will be explaining below. These types of quadratic equations or expressions happen in intervals and I will be showing the form below.

General Form Of Quadratic Inequalities

• ax^2 + bx + c > 0

• ax^2 + bx + c < 0

Solving Steps and Examples

For me to show the step by step on how to solve the Quadratic Inequalities and also the examples, I will like to work it on a sheet of paper which is this below;

For this task, I have solved it below;

Real Life Application

I will be discussing below some of the real life applications of the equation below;

• To Save Money: I can use that equation to calculate the amount of money I should save. Take for example, I have the intention to save some money from a goods I want to get which is worth $11, since I already have $5 according to the equation, I can save $2 per week so by me calculating the equation, it can give me approximate number of weeks I need to save money adding to the $5 which will make it $11. According to calculations, $2 × 3 weeks according to the answer = $6

• $6 + $5 = $11

For the task 4, for me to be able to express myself properly, I solved it on the book which I submit below

Task 4
Scenario: Tom's Bakery

Tom's bakery is a most famous bakery of tow and it's famous for its yummiest pastries and bread. Tom which is owner want for making sure that he has sufficient ingredients for meeting needs for his famous chocolate cake and chocolate cake recipe needs 2 cups of flour, 1 cup of sugar and 1/2 cup of cocoa powder for each cake.

Equation If Tom wants for making x cakes and he has 10 cups of flour, 8 cups of sugar and 4 cups of cocoa powder then calculate number of cakes that can be made by Tom?

Tom wants for making sure that he has sufficient sugar for meeting needs for his chocolate cake. He also knows that each cake needs 1 cup of sugar and he has 8 cups of sugar which are available. He also knows that he wants to make at least 6 cakes.
Solve for equations and inequality both from above scenario

(Solve the above scenerio based questions and share step by step that how you reach to your final outcome)

For the task 4, for me to be able to express myself properly, I solved it on the book which I submit below

Scenerio: Number of gallons Ashley needs.

Suppose there's a person named Ashley who is planning for a road trip from City A to City B.If I talk about distance between two cities then it's around 240 miles. Ashley's car fuel tank have ability of holding 12 gallons of Suppose that his car gets 20 miles for each gallon then how many gallons of gas may Ashley purchase if he already has 2 gallons in his tank and he wants to have minimum 1 gallon left over when he arrives at City B?

Equation Let's consider x as number of gallons of gas Ashley can purchase.
Inequality x + 2 ≥ (240/20) - 1
You have to solve for inequality now for finding minimum number of gallons of gas Ashley required to purchase

For the task 5, for me to be able to express myself properly, I solved it on the book which I submit below

I invite @josepha, @suboohi @khursheedanwar and @stef1 @mikitaly to drop a very constructive comments on this post and also to participate in this contest.