Help on elementary algebra problems

In this lesson… we are going to study on Elementary Algebra Problems. As we all know algebra is a basic to math and more interesting topic for everyone to learn.

Here we begin the practice of solving algebra problems. Problems include the questions involving algebraic equations and basic operations had to be performed to arrive at the solution. Set of solved problems are as shown below.

Question:1

Solve the following equation:
3(x-1)=8

Answer:

3(x-1)=8
3x-3=8
3x=8+3
3x=11

X = 11 / 3

Find more solved algebra word problems on solving equations.

Question: Which of the following equations have x=2, y=3 as solution ?
(a) 8x-y = 12 (b) 2x+3y = 10.

Answer: (a) Substitute x=2, y=3 in 8x-y=12
8(2)-3=12
16-3=12

x=2, y=3 is not a solution of 8x-y=12
(b) Substitute x=2, y=3 in 2x+3y=10
2(2)+3(3)=10
4+9=10

x=2, y=3 is not a solution of 2x+3y=10.

Note on learning fractions

Introduction to how do you do fractions:

In this section let me help you understand on learning fractions. Fraction is a certain part in a whole thing. Fraction is represented by a numerator and denominator. The upper part of the fraction is called as numerator and the lower part in the fraction is called denominator. Fraction can be added, subtracted, Multiplied and divided. These are the basic operation we do with fraction.

Classification of Fractions:

Fraction are classified as

* Proper fraction
* Improper fraction
* Mixed fraction. To get more help on study material

Note on zero a number

In this article let me help you on is zero a number. When we study about number theory we get more exited since it is our necessity to learn. Let me first help you understand .. whether zero is a real number or not.
Zero Real Number?
Yes, zero is a real number. Zero is not a counting numbers; however it is an integer, a rational number, and a real number.
Zero as a number:
Zero written as 0, are both a numbers and the numerical digit familiar with symbolize that number in numerals. Zero acting a central role in mathematics as the preservative identity of the integers, real numbers, and many other algebraic structures. This could also help us on surface area of a square pyramid. In the English language, 0 denoted as zero, oh, null, nil, "0", zilch, zip or naught, depending on language and context.

algebra equations calculator

In this section let me help you on algebra equations calculator. keep reading and leave your comments. An equation is the combination's of two expressions separated by an equal sign. In the equation the both side of the equal sign has the same value.
For example,
2 + 18 = 4 * 5
Types of Equations
Fundamentals and types of Equations are :

Transcendental Equations

If f(x) is a polynomials in x, then f(x) = 0 is an algebraic equation.

Example; x7 + 5x - 2 = 0.

If f(x) contain algebraic and non algebraic functions namely exponential, logarithmic, trigonometric and inverse trigonometric functions then f(x) = 0 is called transcendental equation. This could also help us on logical reasoning test

Example; x + log x + sin x=0. this will also help us on second orders differential equations

Transcendental equation may have no root, exactly one root or more than one root.

Algebraic Equations:

Fundamental theorem on Algebra.

Every algebraic equations of degree n ≥ 1 has a root real or complex.

Help with rotational equilibrium

Introduction to rotational equilibrium

An idea is said to be in a state of equilibrium when the net forces acting on the object is zero, in an equilibrium position, the object has zero acceleration. Below, we have discussed animations of static, mechanical and rotational equilibrium.

We observe various chemical processes in our daily life. It is a common observations that the rates of these chemical reactions vary and depend on certain factors. The knowledge of the rates of a reaction is of importance in industries to ensure optimum productivity.

An industrial process need to be accelerated while a potential explosive reaction may need to be slowed down. Reactions such as rusting of irons, rotting of food stuff, etc. require to be controlled for economic reasons.This could also help with 4th grade math test

Note on Math pics

Introduction to math pics
In this article let me help you on math pics. In mathematic pics plays an important role in explaining the core strategy for all problems.Space figures are the geometric figures that have depths in addition to the height and width size. Examples of space figures are cube, sphere, cone and so on. Another names of space figures are three-dimensional figures. A space figure that having all sides as flat is said to be polyhedron. Let see examples of space figures and their appropriate pictures in math. This could also help us on diameter of circle

Examples Pics of Space Figures in Math
The following are the example shapes for space figures.

• 1. Cube
• 2. Cylinder
• 3. Sphere
• 4. Cone
• 5. Pyramid
• 6. Tetrahedron
• 7. Prism

Note on radical Expression

Introduction to radical expressions:
In this section let me help you on radical expressions. The meaning of radical is defined as the square root that is “ROOT “. A radical is used to refer the irrational number. This radical expressions has been denoted in the root symbol “√ “. This is the radical representation of the particular numbers. The radical expression and the example has shown in below.
Example: √5, 2√ 3

Radical expression calculator - Example 1:
Solve the radical expression √30
Solution:
Given that √40
√40 written as √4 * 10 = 40
√40 = √4 * 10
= √22 * 10
4 has multiples of 2*2 =4
= √22 √10
= 2 √10
The solution is 2√ 10. This could also help us on factors of 54

Distributive property of multiplication

Introduction to distributive property in multiplication:
Today i shall help you with distributive property of multiplication. Multiplication is a repeated additions and its sign”×”.It is one of the basic arithmetic expression like addition, subtraction and division. There are many sets multiplications under the operation, assure the axioms that define group structure. These are finality, associatively, and the additions of an identity of the element and inverses. For example, multiplication can be expressed by two numbers (2×4) or two variables (a×b). Distributive property is one the multiplications property and it has the some other properties.

Distributive Property in Multiplication - Definition
Distributive property:
The distributive properties can be defined as the given variable like a, b, c.
a × (b + c) = (a × b) + (a × c)
for example,
if a = 2, b = 3, c = 5
2 × (3 + 5) = (2 × 3) + (2 × 5)
2 × 8 = 6 + 10
16 = 16
Hence the distributive property is proved.
Distributive Property is used in algebra. This could also help you on what does mean in math
a(b + c) = ab + ac
To multiply in algebra,

How to do probability problems

Probability Word Problems
Today let me help you on how to do probability problems. Probabilities is the chance of the outcome of an events of a particular experiment. Probabilities are occur always numbers between 0 (impossible) and 1(possible). The set of all possible outcome of a particular experiment is called as sample space. For example probabilitys of getting a 2 when rolling a dice is 1/6. In this lesson we shall discuss about how to solve the probability word problems.

How to Solve Probability Word Problems – Practice Problems
Solve these practice probability word problems.
Pr:1 In a jar there are 20 chocolates, 10 of which are white chocolate, 10 are milk chocolates. Find the probability of: This could also help us on logarithmic properties
a) White chocolate drawing first.
b) Milk chocolate drawing second.
Pr:2 A jar contains 4 orange candies, 5 lemon candies. If two candie are drawn at random, find the probability that 1 is lemon candy and 1 is orange candy.
Answer: 1) a) 1/2 , b) 1/19 2) 5/324

Exterior Angle

In this section let me help you on exterior angle Conceptualize the sum of part angles of a pentagon if the inward standpoint of the bureaucratism is 108 point
Whitener
Surface standpoint of pentagon = 108 laurels
out bias = 180 - 108
= 72 state
Therefore One exterior viewpoint of a bureaucratism is 72 stage.
So Sum of out angles of the pentagon = part viewpoint x signal of sides of the bureaucratism
= 72 * 5
= 360°
Thus, Sum of outside angles of pentagon is 360°. This could also help us on sq ft calculator

Help on algebra answer

Introduction to online free algebra helper:
In this section let's try to learn on algebra answer. Online is one of the best tools for students who are studying from their home. Through online students can get instant help for their doubts at any point of the world also they can clarify their doubts with the real person at the moment. In concert with geometry, analysis, topology, combinatorial, and number theory, algebra is one of the main branches of pure mathematics. In this lesson .. we will also learn about step by step explanation for online free algebra helper.

Practice Problems for Online Free Algebra Helper:

Problem 1:

Estimate the given algebraic equation to solve step by step use the elimination method

4a+ 2b = 12,

2b + 4c = 12,

4c + 2a = 12

Answer: a = 2, b = 2, c = 2. This could also help you on factoring polynomials calculator

Help on algebra problems

In this article let me help you on algebra problems. Since we had studied enough on algebra hence let me show you a example to help you understand better.
Jack wants to buy a pen that costs dollar 20. She has saved only dollar 12 so far. How much more currency does Jack need?

Solution:
Step 1: A pen cost is = $20.
But Jack has = $12 we find how much does Jack need.
Step 2: Let x as currency that Jack need so

12 + x = 20
Step 3: If we subtract 12 we can cancel out the plus 12 so let us have go to at subtracting 12 from both sides . This could also help us on factoring calculator
12 -12 + x = 20 -12
Step 4: remove combine terms like 12 – 12 = 0
0 + x = 8
Step 5: Therefore Jack need $ 8 to buy a pen.

trigonometry homework help online

Introduction to Trigonometry Homework Online Help:
In this section let me help you on trigonometry homework help online. One of the steps to solving triangles is free from all the errors and enables us to obtain results correct to any desired degree of accuracy. This method consists of unknown parts of a triangle from the numerical values of the given parts. The improvement of the method has given rise to a separate branch of mathematics called trigonometry. This can also help us on calculus tutor free
Online is only and easy way to obtain knowledge. Computer with internet connection is an only way to communicate all over the world. In this we can easily learn all details, in a same place.
In this article we shall discuss about trigonometry homework online help. The following are the examples involved in trigonometry homework online help.

solve triangle calculator

Introduction to solve triangle calculator:
In this article let me help you on triangle calculator. One of the basic geometry shapes is triangle. A polygon having three corners or three vertices and three sides or three edges of a line segment is referred as triangle. When a triangle having vertices A,b & C can be represented as [Delta] ABC. In this article we shall discuss about problems involved in solving triangle using a calculator. The following are the examples involved in solve triangle calculator.

In the right triangle calculator, to find the value of sides with the values of other two sides we have certain steps to be followed.

The figure of right triangle is given below,

The steps used to find the sides of triangle are given below:

The steps used in the right triangle calculator is given as,

Step 1: Enter the values of known sides at the particular boxes.This could also help us on modulus of elasticity

Step 2: Then click the calculate tab which is displayed at the window.

Step 3: Then after calculation the value of sides are displayed on the box near to label Answer.

Help on Polynomial Factoring Calculator

Introduction to learn factor polynomials calculator:

In this article let me help you on Polynomial Factoring Calculator. It is used to solve different types of problems. It is a web-based tool designed to solve different problems.Learning factor polynomials through calculators is simple.

Factor polynomials calculator are used to understand the polynomials factorization. Given expression can be factorized by using the greatest common factor. Let us discuss about the learn factor polynomials calculator.
Steps to Learn Factor Polynomials Calculator:

The Steps to learn factor polynomials are as follows:

* Given expression can be arranged in the order of powers.
* Expression can be in the form of standard ax2 + bx + c = 0.
* The expression should be factorized.
* Solve the given terms.This could also help us on p value calculator

Help on acute angle

Names of angles:
In this lesson let me help you on acute angle. An angle is the formed by two rays sharing a common endpoint, called the vertex of the angle. The magnitude of the angle is the "amount of rotation" that separates the two rays, and can be measured by considering the length of circular arc swept out when one ray is rotated about the vertex to coincide with the other (“Measuring angles").

Name of Angles Types:
1) Acute angle.
2) Right angle.
3) Obtuse angle.
4) Straight angle.
5) Reflex angle.
6) Adjacent angles.
7) Vertical angles.
8) Complementary angles.

This could also help us on factor by grouping.

Acute Angle:
An acute angle is any angle whose measure is less than 90 degree.








I hope this exaplanation is very easy for you to understand. Keep reading may be in the next session let me help you on Fractions Calculator

Introduction to Circumference Formula

Introduction to Circumference Formula:

In this section let me help you on formula for circumference of a circle.The distance around the circle is Circumference. In a circle, the distance from center to any point of a circle is called radius. And the line which touches two points of the circle and passes through the center is known as Diameter of a circle

Formula to Find the Circumference of a Circle

The formula to find the Circumference of a Circle with Diameter is

C=Pi*d

Which means the circumference of a circle is pi times the diameter.

Where, d=Diameter of a circle and

Pi=3.142 which is a constant value.This could also help us on Pythagorean identities.

How to use a Protractor?

Introduction- how to use a protractor to measure angles:

In this lesson let me help you on how to use a protractor?In geometry, a protractor is a circular or semicircular tool for measuring an angle or a circle. The units of measurement utilized are usually degrees.

Some protractors are simple half-discs; these have existed since ancient times. More advanced protractors, such as the Bevel Protractor have one or two swinging arms, which can be used to help measure the angle.
Concept- How to Use a Protractor to Measure Angles:

The two most common units of angular measurement are the angle and the radian. This could also help us on radius of curvature

The angle (°) is the unit familiar to lay people. One angle (1°) is [1 / 360] of a full circle. This means that 90o represents a quarter circle,180° represents a half circle,270° represents three-quarters of a circle, and 360° represents a full circle.

Definition on Polygon

Introduction to polygon

In this section let me help you on polygon definition.

Definition of Polygon:

A polygon is a closed plane figure formed by three or more sides. It has equal number of sides and vertices. Word Polygon is basically from Latin - Greek polugōnon means figure with many angles. In simple words, a closed two dimensional figure having three or more straight sides is a polygon. Exactly two sides meet at every vertex.

Example: Below is the figure of four sided polygon:

A polygon with all sides equal and all interior angles equal is called as Regular polygon, otherwise it is irregular. Specific polygons are named according to the number of sides, such as triangle, pentagon, etc.. this can also help us on vertices definition

Internal angles :-

A regular polygon is a polygon which has all the sides equal and all the angles equal. Regular polygons may be convex or Complex polygon. A regular n-sided polygon has rotational symmetry of order n. All vertices of a regular polygon lie on a common circle (the circumscribed circle), i.e., they are concyclic points.Also, a regular polygon can have an inscribed circle or incircle.

What is Mean Deviation

Introduction to mean deviation:

The difference between observed value and the expected value of a function is called mean deviation. The mean deviation is the mean of the absolute deviation of a set of data about the data's mean. It is an important expressive statistic that is not frequently used in mathematical statistics. This is basically mean deviation as the "mean deviation from the mean," the introduction of the complete value makes logical calculations using this statistic much more difficult.

Mean Deviation

In order to find the dispersion of values of x from a central value ‘a’, we find the deviations about a. To calculate the mean need know the sum of the deviations. And number of observations.

Also mean of deviations = Sum of deviations/ Number of observations

This will also help us on factorising.Find the mean of deviations about mean is not of any use , as far as the measure of dispersion is concerned. Remember find a suitable measure of dispersion, we require the distance of each value from a central tendency or a fixed number ‘a’.