The solution of an algebraic equation is nothing but finding a number or quantity that can balance the equation. The algebra equation is basically a combination of constant value, coefficients, and variables. The total sum of all the quantities given above is equal to zero. The standard form of an algebraic equation is constituted coefficient, one or more than one variable, and the content value. Basically, the algebraic equation denotes a line which is parallel, perpendicular or cuts the X and Y-axis. Some of the algebraic equations types are given below-
A Linear equation is a type of algebraic equation in which the variable only has degree =1. The linear equitation is denoted as-
If we put a single number in place of x, we will get a number of y and vice versa. It is the most common method to solve the linear algebraic equation.
It is also the type of algebra equation which has two higher degrees of a variable. You can better understand the quadratic equation with right example as-
y = 2x² + 10x + 8
If we put y = 0, then we will get
2x² + 10x + 8 = 0
Now you can solve the above equation by using the formula method. Also, there are different methods available to solve the equation, but formula method is usually used more than other.
The cubic algebraic equation has three higher degrees of a variable. That means you will get three values of a variable. When one of the values of a variable puts on the equation, the equation becomes zero. Hence, you have achieved the right quantity of a variable. Consider an example to understand the cubic equation-
7x³ + 2x² + 10x + 8 = 0
With the specific method, the cubic algebraic equation can be easily solved.
Quartic equation with degree = 4
The quadratic equation is a part of the algebraic equation which includes four higher degree variables. Basically, it is simple to solve the as compared to the cubic equation. To better understand the example explains better-
It can be solved as the quadratic equation by putting the variable equal to x².
Quantic equation includes 5 higher degrees on a variable. It is also taught to solve the quantic equation.
You can use various methods to solve this equation which is complicated.
It is the algebraic equation that includes 6 higher degree of a variable. The example is given below-
Also, there are higher order degrees are available in an algebraic equation, but less than 5-degree algebraic equations are common in algebraic homework.
To get the math help or homework help by the algebra software, you need to visit the proper website. This website includes the program that provides an accurate answer about the variable. You do not need to feel any trouble with solving the algebra equation. The algebraic calculator helps you out with ease.
Mathematical has been one of the interesting subjects for many students since school years. Some of the students are afraid of its complexity and the numerical values. Simple mathematical rules such as addition, subtraction, multiplication, and division are really simple. But adding some unknown values into these expressions cause complexity in a mathematics calculation. These unknown values are basically expressed as X or Y. also other letters can be taken as the unknown. These unknown values are variables whose value varies with some numerical values. The entire expression is known as an algebra equation.
Algebra equation contains three terms namely variables, coefficients, and the constant value. Different type of algebraic equation and its form is available. You can analyze its type as-
Some digital platforms are available where the mathematical expert helps you in solving the exponential problems. Exponential expressions are one of the intimidating mathematical problems. To solve the algebra equation without graph calculator, you need to learn from basic. There is some basic function of algebra are-
Factors, base and exponential
In simple mathematical expression where you are instructed to multiply numbers and find out the single result. These numbers are known as factors. To understand better, consider an example as
3 x 5 = 15
Here 3 and 5 are the factors of 15 and the 15 is the product of 3 and 5. If you are going to find the factor of 49, then there are two factors i.e. 7 and 7. Consider one more example as to find a factor of 63. Here 7 and 9 are the factors and 3 and 3 are the factor of 9. So, you have 7, 3 and 3 factors of 63. The mathematical expression can be written as
3 x 5 = 15
7 x7 = 49
7 x 3 x 3 = 63
The last expression can be written as 7×3² = 63
The product of 3 x 3 can be written as 3² , and it is pronounced as three squared. Here the superscript is known as an exponent, and a lower number is called base. Now we know about base, factors, and exponent.
To add any number in which each has exponent value you have to find out the power of numerical term then multiply the number. Now you can easily add it. Similarly, if the math problem includes addition, multiplication, subtraction, and division then need to know the variable power then solve it.
3² + 4⁴ = 9 + 64 = 73
6x²+3x² = 9x²
This is the common rule to solve the exponential mathematical equation. The exponential calculator works similar but provides an instant result.
Do you dislike mathematics subject and feel sleepy in the classroom while the teachers are delivering the mathematics concepts? Then, you can start loving the subject by learning mathematics at your pace using math software that is available in online. This helps both the students and the parents while the former can learn the concepts of mathematics from the scratch and the latter will save a lot of money from hiring a tutor for their kids. Ideally, this software will let the students learn the step by step procedure in solving the math problem. So, when students gain a grip over the concepts and formulas, they will be able to solve any complicated problem with ease. But, for that, it is imperative for the students to understand the concepts from scratch.
Mathematics is the complicated subject for many students. Also, in the entire universe, the most crucial characters are numbers. To solve a problem, people have to learn many concepts in mathematics. For instance, if you want to solve a problem in algebra, then you would need to carry out factorization and simplification. Undeniably, mathematics is the toughest subject in school and understanding the concepts make it the easiest of all. For that, there need a lot of dedication, hard work, and will to learn new concepts. Solving a complicated problem is challenging for the people, however, if you understand the methodologies and procedure, then it would be a piece of cake.
However, if you want to solve the math problem with ease, then here are a few tips you need to embrace
Examine the problem: Prior to putting your pen on the paper to solve the problem; you first need to understand the way you can solve it. You need to extract the data required for you to solve the problem. Subsequently, you need to take your time to thoroughly understand the problem. You need to break the complicated problem into small parts to solve it without making blunders and to get an accurate result. When reading the problem, you need to break the sentences and understand each sentence clearly. You can also take the help of the hints given in the problem. This helps you to attempt the problem and get the correct result.
Use the right formulas: It is crucial for a student to learn the mathematical formulas. These are important to solve the problem with ease. Applying of a right formula will help you get an accurate result. If you are doing homework, then you need to check the math formula in the textbook. Also, you can take the examples given in the text book as a reference to solve similar kind of unsolved problems. Ideally, mathematical problems are explained by multiple variables. You need to identify the formula that applies to solve a problem.
Be careful while solving the problem: Math problems should be solved in step by step manner to get the right output. You need to break the problem and solve each part of the problem carefully. A single mistake made in a problem would continue throughout the problem and at the end, it gives a wrong output. Ideally, this kind of challenge is faced by the students with complicated problems. If you have any doubts, then you can refer to the procedure to solve the problem.
Algebra expression is directly related to the algebraic equations and polynomial equations. In the equation, you have one or more than one unknown, but the values cannot be determined when there is no equation including same unknown. The algebraic equations are most probably used to find the variables values to make both the side equal. For example, you have algebraic equation such as
4x + 8y = 18
And other one is, 3x+ 4y = 14,
Now, you have to find the value of x and y respectively. To find the values of unknown, you must know mathematical operations such as addition, subtraction, multiplication, and division.
To solve this algebra expression, apply subtraction operation on the both. In subtraction, only same variables can subtract. That means the 4x may subtract from 3x and similarly, 8y subtract from 4y. The constant value subtracts from a constant value of other equation.
Note that, before subtracting the equation, it needs to make the variables same. That means if we do not make the values same, then we have the equation in which both unknown are available. Then we can never find the value. To avoid this complexity in algebra expression, multiply the number with both the equation. It is not difficult to find the number to multiply in an equation. Find the unknown which you want to eliminate. Then select the number according to it. You want to eliminate x from both the equation then multiply equation one by 3, and another one is 4.
Now you have new equations as,
12x + 24y = 54
And, second one becomes, 12x + 16y = 56
Now you have the option to eliminate the variable x from the equation. For this, you need to subtract equation one from two. Then you have a new equation which has only one unknown because the second one has eliminated.
You have, 8y = -2,
Don’t you worry if you have answered in negative because in algebra expression; you have to face lots of questions that include negative value? It is easy to find the unknown if you have only one unknown. Divide both the side of an equation by 8, and you will get the value of y.
You have, y = -1/4
After getting the one variable’s value, you have to find another one. Now put Y’s value on anyone equation in which x is present. Consider equation one,
4x + 8y = 18,
When putting the value of y,
You have, 4x – 2 = 18
Not transfer the constant value to the right side. Then you have,
4x = 20,
Divide both the side by 4, and you have x = 5
In algebra expression, you need to face various difficulties which are solved by considering important factors. The application of algebraic equation helps to know the certain results. To solve the difficult expression, you need to practice more and more. More the practice takes you to be expert in solving the algebraic equations. The basic of algebra is simple but difficult to solve their application. Regular practicing can make you perfect in algebra expression-solving.
Mathematics is the subject that is tough, but interesting. Many people face a problem with many topics of the mathematics. If you found it difficult to solve the fraction to decimal problems, you should read the steps explained further to solve such problems. Firstly, you should know what is a decimal or fraction number. A decimal number is a number that has a decimal point, and it is a number of base-10 number system. For example 10.0, 0.45, 1.75 is the decimal numbers.
There are commonly three types of the fraction. It includes a proper fraction, improper fraction, and the mixed fraction. If the numerator is less than the denominator, then it is called as a proper fraction, for example, 5/8. On the other hand, if the numerator is greater than the denominator, then it is called as the improper fraction, for example, 4/3. Mixed fraction has a whole number as well as a fraction.
It is true that we are living in a modern world and we have the calculators in computers and mobile phones. Anyone can easily calculate the fraction form of a decimal number. But you should know the manual method of solving the fraction to decimal problems. You can easily solve such problems by following these easy steps.
The easy steps to convert a fraction to decimal number with an example
• Step 1: you must have to find a number that you can multiply by the number at the denominator place of the fraction. So, it can convert the number at denominator to 10, or 100, or 1000 and so on. We will take an example here as 5/4. So, you should find the right number that will make the denominator of this fraction that is 4 to 100 on multiplication. You can’t make it 10 as it is not a multiple of 4. So you have to find a number which you can multiply to 4 to make 100 at the denominator. You can multiply 25 by 4 so you can make it 100.
• Step 2: The next step is to multiply both the numerator and denominator by that number. In this example, you have to multiply 5 and 4 by 25 so you will get a result as 125/100. It is an important step to finding a correct answer of any fraction to the decimal problem. If you want a proper solution, you must multiply correctly.
• Step 3: the last step is just to right down the numerator number by correctly putting the decimal point in the right spot. In this example, you have to place a decimal point after two spaces from the right side due to the reason that there are two zeros in the denominator. So the correct decimal of the fraction 5/4 is 1.25.
Thus, these are the simple steps that are applicable for both the improper and proper fractions. The example given with these steps helps to get a good idea about it. If you practice some more problems of the fraction to a decimal by using these steps, your concept will be clear. You can then easily solve any problem on this topic.
There have been many different fields and subjects in mathematics. All these fields are equally interesting and important at their places. Algebra is one of the most interesting and important fields of mathematics. There are many rules and regulations in mathematics. This is the perfect combination of equations and calculations. Quadratic equations hold an important place in algebra. These are very easy to solve and interesting with few simple tips and tricks. There is a set of rules designed specially to solve these equations. However, you need to know them and learn properly to get better on the subject. These are some of the best parts of algebra which can be perfect for appropriate practice.
Know more about Quadratics
There are many different methods to solve these equations within few simple steps. All these methods have different steps to be followed, but all of these bring out he correct answers. Therefore you can select the best step which seems to be easy to you. These are extremely easy when undertaken with lots of practice. Here are some easy ways to solve these equations in the best way:
Solve Equations through Factoring
Factoring is one of the most common methods used for solving quadratic equations. The only thing you need is the right information and perfect knowledge. However, all this can be acquired through practice. It is the most logical use of the powers and squares of x. There are many other methods, but this one probably holds the best place among all. It is the perfect use of some unknown and univariate equations to find out the certain value. You can be the best in this method through a bit of practice.
When you are solving an equation using a method like this, there are chances that there can be two roots or solutions. However moving in the right direction, you will surely get the right solution.
Use Quadratic Formula
Using a quadratic formula to solve an equation is another effective way to get the right answer in the best manner. This is the process if combining all like terms together and bringing them to one side. This is similar to the one which is applied in factoring. However, there are many points that you need to keep in mind while using the quadratic formula. Always ensure that you determine the values of a, b, and c and substitute them. After plugging in all the variables and values, you may carry out the necessary calculations. This formula needs to be solved step by step perfectly in order to get the right answer.
Therefore like the methods mentioned above, there are much more ways of solving these equations. Therefore you can select the best ways as per your convenience. However, the practice is the best way to become perfect in solving these equations. These equations hold the most interesting place in algebra. These are the best parts an individual goes though in mathematics. Therefore you may know more and get perfect in all the methods for solving quadratic equations. You will surely enjoy working with these methods.
On a scale of ten, many students have ill feelings towards mathematics 80% of the time or more. Many do not find mathematics interesting at all. In fact, the sight of mathematical equations tends to make some students feel drowsy, and they just want to give up at first sight. Research has shown that the problem many of these students are having is the lack of the right tool to handle mathematics problems effectively. However, a mathematics expression calculator is now available to help students solve their mathematics-related problems in the most effective manner imaginable. The name of that software is Softmath. This is the software built to meet your needs perfectly and make you a better student in mathematics.
If are given any mathematics problem in school, but you are at your wit’s end on how to solve the problem, just give this expression calculator a trial, and it will help you out. It also gets the solution for you in an effortless manner. It can help you simplify any form of expression you may want to solve. It is built to handle both simple and advanced mathematics problems, making it the best tool for all classes of students. If that mathematics problem is giving you a headache and you just do not know how to put an end to the entire thing, just report the case to Softmath, and it will get the problem solved in no time at all.
The developers are ever ready to lead you by the hands if you are faced with any problem while using this expression calculator. The software can be used to solve various forms of mathematics problems; it can help you simplify any mathematics expression, and it can help to expand any equation no matter how knotty it may look. Any expression or factor can be handled perfectly and effortlessly by the software. You have never come by a better helping hand in solving the mathematical problem than this.
Additionally, Softmath is the best tool to solve any equation. Do you want to draw a graph for a quadratic equation; you can also trust Softmath to get that done. The software does not just provide solution or graph; it will give you a thorough explanation on how it arrived at the solution it is presenting to you. It is the best to put an end to those worries occasioned by that seemingly insolvent equation or inequality. It can equally solve and draw a graph for a system of equations and inequalities. No need to worry about mathematics problems anymore; start using Softmath and it will prove to be the most impressive expression calculator you have ever come by.
Softmath is available for use free of charge. No need to pay a dime to start benefiting from the software. It can be used both on your desktop and mobile devices. The solution provided by the software can also be saved for future references. Its mobile-compatibility ensures you can take this expression calculator with you everywhere you go.
Some students think algebra is the simplest aspect of mathematics, while some other students think otherwise. Many of the latter group of students has given up hope on ever been able to get a grip on algebra. If you are one of such students finding it difficult to understand algebra 1 or any other level of Algebra, you should partner with softmath without delay. It will help solve the problems in no time at all. This software is not like any other you have come across. It is easy to use, and it is available to everyone free of charge. You will not be required to pay anything to use it. Any solution provided by the software can also be saved for future reference.
The software can solve every aspect of algebra 1. It can also help to draw graphs perfectly. You can trust the software to handle different forms of the equation. Just present it with any group of equation, inequalities or expression, and it will get it solved in no time at all. With this software, you can also handle multiple expressions when solving LCM or GCF problems. The software can be used to solve problems related to LCD too. To do this, you will have visited the Simplify page on the software and provide the sum of the fractions. You need to identify the denominator to do this.
It is easy to change how the solutions appear for easy understanding of the algebra 1 solution. You can also opt to see all the steps involved in the solution for easy learning. You can go through the solution afterward to learn how it is done so that you can handle such problems perfectly when they come up in any mathematics examination. The software is web-based, and it is very easy to navigate. You can choose any operation you want to perform by simply clicking a button. It can never get easier than this. You can access varieties of functions and variables too. They are all available at your finger tip. Also, you can move through the expression you have written and edit them before ordering the software to provide a solution.
Would you like to repeat the last algebra 1 variable? Just click a button to perform the operation. If you want to enter multiple equations into the software, you can separate the equations one from the other using the comma sign. Softmath is highly versatile and can handle numerous mathematical problems. Its high capability makes it able to handle over 90% of all the typical algebra problems available in textbooks. The onscreen keyword is included with many function keys, which enables you to add various features.
You can enter special constants to the expression too, like pi. The sideways arrow keys on the keyboard can be used to exit parenthesis, denominators, and exponents, aside from being used to move through the expressions you have typed. The software is very easy to navigate. The interface is self-explanatory, and you can also access the inbuilt guide for better understanding of the software and its operations.
Fractions vs. Decimals:
Decimal numbers are important because people use them in their day to day life in various situations, such as looking at temperature and humidity on a particular day, glancing at price tags while shopping, reading the digital blood pressure monitor or analyzing their favorite basket ball match. The decimal system is a way to express large and small numbers by utilizing the decimal point. But decimals are not quite handy in many real life situations. For instance, if you want to fabricate a bench, you might need to have it five feet three and a half inches long (5' 3 1/2"). Assuming that you cut the wooden board bit longer and your supervisor asks to cut off an eighth of an inch, being good at fractions in that situation would make it easier to comprehend the instructions. In making strong foundations for basic mathematics, we need to have strong walls. Algebra serves the purpose of those walls that keep the roof of mathematics lifted up. And if the math house is to have a sustainable roof in the future, it needs a really strong algebra. And for algebra to be strong you need to be good at fractions. Academically, almost all sorts of tests have a large portion of questions from the topic of fractions. Apart from academics, fractions and applying different arithmetic operations on them, are an essential part of our daily lives. Let it be dividing a cake pie or making up space by separating a large room, where ever be the need for division, without the skill of fractions things would get messed up.
To multiply two fractions, we multiply the numerators to get the new numerator and multiply the denominators to get the new denominator. Then the final step involves the simplification of a fraction, in case they are not in their lowest terms. When multiplying a fraction with a mixed number or multiplying two mixed fractions, the first step is to change the mixed fraction into an improper fraction. Then simplify the terms if possible, and the same process of multiplying the numerator by the other counterpart and denominator from the other one is performed. Finally, simplify and put the result in simplest terms if applicable.
The practical implication of multiplying fractions can be observed in the fields of construction, map scaling, surveying, salary payrolls, house hold jobs such as cooking, distance and volume calculations, family budget estimation, etc.
For instance, a family uses 1/3 of its monthly income for housing and utilities on average. If the family’s monthly income is $100, what is spent on housing and utilities? What amount remains? Evaluating the result would be really easy and fast if one is familiar with fractions. The family's income is $100. So as stated in the problem, it spends 1/3rd on housing and utilities. Therefore '$100 / 3' i.e. ~$33 are spent. The remaining amount can be calculated by subtracting the spent amount from total income. That comes out to be as $100 - $33. The remaining amount would be $67 on average. Hence the skill of multiplying fractions comes in as a handy tool in solving day to day mathematical problems quickly.
A Linear equation is a part of algebra in mathematics. In a linear equation, each term is a constant or it can be a product of constant of the variable. A very simple equation that can be written with one variable (x) could be ax + b=0, where a and b are constant and a ≠ 0. The constants a and b could be any numbers or parameters. Linear equations are universal in the applications of mathematics. Those equations that involve single variable will appear in simplest problems wherein one unknown parameter or quantity has to be solved from the other information which is given. In solving simple equations, one needs to use only elementary operations of arithmetic such as addition, multiplication, subtraction, and division.
How to solve linear equations?
One can solve the linear equations with visualization which is the ability or the process, and the product of the creation, use of, interpretation, and reflection which is used upon the pictures, diagrams, and images in the minds, paper or technological tools. The purpose of the solving is to depict and communicate the information which is thought upon and developed using previously unknown ideas and of advancing understandings.
Linear Equations with More Variables:
Equations can have one more one variables, such as equation with three variables x, y, and z is written asax + by + cz = 0, wherein a, b, and c are the constants and are any number except zero.
Equations with the exponents that are greater than one are known as non – linear equations. For example, axy + b = 0, where a and b are constants and a is not equal to zero. The equation has two variables x and y and is said to be non – linear as the sum of the exponents of the two variables in the first term is two.
Forms of Two – Dimensional Linear Equations
There are different forms in which the linear equations can be written. These are: