Algebra Word Problem Solver

Introduction for algebra word problem solver:

The algebra is a part of mathematics in this symbol such as letters of the alphabet stand for numbers. Algebra word problem consisting of both numerals and literals. The algebraic expression can be an expression involving numbers and letters, multiplied together. Algebraic arithmetic equation we use numerals to represent the numbers. Algebra deals with word problems, linear equations, factorization etc... Please express your views of this topic algebra 2 solver free by commenting on blog.


Example word problems for algebra solver:

Word problem 1:

John has 19 more nickels than quarters. Solve the word problem and find how many coins he has, if the total value of his coins are $3.65?

Solution:

Let us consider, n = The number of nickels and q = The number of quarters.

John has 19 more nickels than quarters can be written as q + 19 = n.

We know,

one quarter = 25cents.

one nickel = 5cents.

Therefore,

$3.65 = 365 cents. Is this topic Integral Solver hard for you? Watch out for my coming posts.

The total value of his coins are $3.65 can be written in an equation as 5n + 25q = 365

Solving both equations we have,

q + 19 = n

25q + 5n = 365

25q + 5(q + 19) = 365

25q + 5q + 95 = 365

30q = 270

q = 270 / 30

After solving, we get

q = 9

Substitute the q value in n = q + 19, we get

n = q + 19

n = 9 + 19

n = 28.

Answer:

The total coins he have 37.

Rules for Basic Algebra

Introduction to Rules for basic algebra:

Algebra makes use of letters and symbols (called variables) as well as numbers. All of the same rules you learned for arithmetic apply in algebra. However, algebra contains many new rules, and this review presents some of them. First learn the following terms, variables, algebraic expression, term, like terms, unlike terms, equations. I like to share this Gaussian Elimination with you all through my article.

Rules for basic algebra-Key terms:

Variables:A symbol, usually a letter that takes the place of a number (very often you need to substitute a number for a letter in an expression or to solve an equation for a certain variables).

Algebraic expression:A collection of numbers and variables connected by signs and numbers.

Ex: 3x, 2y^3+4, a-b an individual piece of an expression.

Term:For example 3x is a one term,2y^3+4 are the two terms,a-b+c this is the three terms

Like terms:The like terms are the same variables and same exponents.

Ex: x^2 and 3x2,and 2a2b and 29ba2

Equation:Two equal expressions are called as an equation.

Ex: 2Y-8y2-9=0

a2-b2=c2

Evaluating Expressions and order of operations:

To calculate means to find the value of something. When you are asked to evaluate an algebraic expression, you need to substitute a number for a variable in the expression and then simplify the expression. To simplify the expression, you have to follow the order of operations, which is simplifying a set of rules guaranteeing that you perform operations in the proper order: Understanding Simplifying Radicals Calculator is always challenging for me but thanks to all math help websites to help me out.

1. Start from the innermost set of grouping symbols and perform the operations within. Once you have performed those operations, remove the grouping symbols.

2. Simplify all exponents or radicals.

3. Multiply or device, moving from left to right.

4. Add or subtract, moving from left to right.


Rules for basic algebra-Algebra properties:

Distributive property:

A key concept in basic algebra is the distributive property, by which a term is distributed over two or more terms.

Ex: In this equation 6(x+3) =6x+18, 6 is a factor that has been distributed over that x and 3.

Property of zero:

Another key concept in algebra is the property of zero, which states that, in a multiplication problem, if one of the factors is zero, than the product must be zero. Another way of stating this rule is:

If a×b=0, than a=0 or b=0

Properties of equality:

A key concept in algebra is the property of equality,by which the term is equal.

Ex:if x=y than,x+z=y+z add z two side .this is the equality property.

Numbers Exam Preparation

Introduction to numbers exam preparation:

Numbers are mathematical objects, present everywhere. They are more important to measure and to count anything. All the fields of developments are been estimated using the numbers only. Especially in this economic world, nothing can be executed without the numbers. Numbers are mostly used in mathematics, science subjects and in numerical calculations. Example: Used to count pages in the book.


Preparation of Integers and Types of numbers during exam:


In general, there are types of different numbers like natural numbers, real numbers, complex numbers, finite numbers, infinite numbers, and it goes on.

Some of the types of numbers that can be mentioned during the exams are:

1. Preparation of Natural numbers: The numbers that can be counted are called natural numbers.

The set N= {1, 2, 3...,} is a natural number series.

They are also called as counting numbers.

2. Preparation of Whole numbers: These numbers are also same as the natural numbers, but these include the zero's.

The set W= {0, 1, 2, 3....,} is a whole number series. But zero is not a whole number.

3. Preparation of Even numbers:   The numbers N= {2, 4, 6, 8....,} are called as even numbers.

4. Preparation of Odd numbers:    The numbers N= {1, 3, 5, 7....,} are called as odd numbers.

5. Preparation of Rational numbers: These are the numbers of the form a / b. In which a, b belongs to natural number and b not equal to zero. Then it is a set of rational numbers.

Also, If both a, b are of the same sign then it is a positive rational number.

If both a, b are of the opposite sign then it is a negative rational number.

6. Preparation of Real numbers:  The numbers that including the natural numbers and the whole numbers are called as real numbers. Also the decimal points,

This is represented as, Simple example for exam 123.987

7. Preparation of Complex numbers: The numbers with the real part and the imaginary part is called the complex numbers.

Integers:

There are two types of integers,

The numbers {-4,-3,-2,-1, 1, 2, 3} are integers. Here,

*Positive integers:  The natural numbers are also called as the positive integers.

Example for exam: Z+ = {+1, +2, +3}.

*Negative integers: The set Z- = {-1, -2, -3, -4} are called as the negative integers.


Preparation of Properties of Numbers during the exam:


In exams the properties to be mentioned are,

* Numbers can measure anything.

* Numbers used to count the quantity.

* Numbers are infinity.

* Numbers are unique.

Math Makes Sense 6 Answers

Introduction to math makes sense 6 answers:

In this article we discuss about 6th grade mathematics answer for math make sense 6 answer; in this article we are going to discuss number patterns in divisors, factors, multiples and prime numbers. In everyday life we are using mathematical concepts often. 6th grade math covers following chapters

Numbers

Natural number and whole numbers

Face and place value

Expanded form

Measures

Metric measures

Measures of Time

Algebra

Addition and subtraction of team

Coefficients

Geometry

Point

Line

Number Patterns of math makes senses 6 answer:


Divisors:

Consider the number 24. Divide 24 by 3. When we divide 24 by 3, the remainder is 0.

3 is the divisor of 24. Also if we divide 24 by 2, we will get 0 as the remainder.

Repeat 2 is the divisor 24.

By apply the equal process, 1, 4, 6, 8, 12, 24 are also divisors.

Thus the divisors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.

Now, what are the divisors of 13? Clearly 1 and 13 are the only divisors.

Math makes sense 6 answers Example 1:

What are the divisors of 18,

The divisors of 18 are 1, 2, 3, 6, 9, 18

Factors:

The divisors of a element other than 1 and the number itself are called the factors of that number.

Ex 2:

Find all the divisors and factors of 20,

Sol:

The divisors of 20 are 1, 2, 4, 5, 10 and 20

Math makes sense 6 answers Example 3:

Multiples:

Consider the number 4

Multiply 4 by the numbers 1, 2, 3...

Then we get 4, 8, 12, 16, 20...

All these are multiples of 4.

Ex 4: Find six multiples of 8

The six multiples of 8 are

1 × 8 = 8

2 × 8 = 16

3 × 8 = 24

4 × 8 = 32

5 × 8 = 40

6 × 8 = 48

The six multiples of 8 are 8, 16, 24, 32, 40, 48

Ex 5: The five multiples of 12 are

1 × 12 = 12

2 × 12 = 24

3 × 12 = 36

4 × 12 = 48

5 × 12 = 60

The five multiples of 12 are 12, 24, 36, 48, 60


Even and Odd numbers for math make sense 6 answers:

Consider the whole numbers which are multiples of 2

Sol:

0 × 2, 1 × 2, 2 × 2, 3 × 2, 4 × 2 …

That is, 0, 2, 4, 6, 8 … are multiples of 2.

Consider the whole numbers which are not multiples of 2

1, 3, 5, 7, 9 …

The whole numbers which are multiples of two are called even numbers.

If we divide the even number by 2, the remainder will be 0.

The whole numbers which are not multiple of two are called odd numbers.

If we divide an odd number by two, the remainder will not be 0 (but the remainders will be1).

set of numbers

Introduction:

Relationships between two objects are represents as a set of ordered pairs of objects, the concept of ordered pair is defined using sets, natural numbers, which are the basis of other numbers, are also defined using sets.This concept of the function being a special type of relation, is based on sets, and graphs and digraphs consisting of lines and points are described as an ordered pair of sets. I like to share this Factor Numbers with you all through my article.


Concepts of set of numbers:

The followings are some of the concepts of set of numbers.

Empty set or Null Set or Void set:

A set which contains no element is called the empty or null or void set. It is denoted by the symbol Ø. Thus Ø = { }. We observe that n(Ø) = 0.

Equivalent sets:

If two sets that can be contains the same elements are called as the equivalent sets .If the set A is equivalent to the set B, then n(A) = n(B) and we write A ? B.

Singleton set:

A set has only one element is called a singleton set.

Universal Set:

The elements of all sets that can be occur in the mathematical investigations belong with a set. This set is called the universal set. The universal set is denoted by the symbol U or by the symbol E.We can study the universal set by its conception. I have recently faced lot of problem while learning An Odd Number, But thank to online resources of math which helped me to learn myself easily on net.


Examples for set of numbers:

Example: 1

• Given the set of numbers [7, 14, 21, 28, 35, 42], find a subset of these numbers that sums to 100.

• First, make sure you understand the terminology: "...sums to 100" means that the object is to locate some grouping of the numbers in the original set that, when added together, add up to 100. You might expend all day on this seemingly simple question before giving up in frustration.

• Before you even try adding together some of these numbers together, in hopes of stumbling on the answer, take a look at the numbers themselves.

• They are all multiples of 7, which means that they be able to each be represented as a digit times 7. Or, since multiplication is really just a shortened form of adding up, they can each be represented by a group of 7s being added together:

• Now notice what happens when you attempt adding up these numbers together. let say you add 21 and 28:

• 7 = 7 x 1 = 7

• 14 = 7 x 2 = 7 + 7

• 21 = 7 x 3 = 7 + 7 + 7

• 28 = 7 x 4 = 7 + 7 + 7 + 7

• 35 = 7 x 5 = 7 + 7 + 7 + 7 + 7

• 42 = 7 x 6 = 7 + 7 + 7 + 7 + 7 + 7

21 + 28 = (7 x 3) + (7 x 4) or (7 + 7 + 7) + (7 + 7 + 7 + 7)

• The associative belongings of addition states that the combination of elements doesn't make a difference; you can simply remove the parentheses when only addition is involved, which gives you this:

21 + 28 = 7 + 7 + 7 + 7 + 7 + 7 + 7 or 7 x 7

• Looking back at the original problem, it is now clear that it's a trick question. because you start with all multiples of 7, there cannot be a subset of those numbers that sums to 100 because 100 is not a multiple of 7. The closest you can get is either 98 (42 + 35 + 21) or 105 (42 + 35 + 28).

Example: 2

Consider a set A = {-1 ,0,1} It is a non empty set, the elements are -1,0,1. Perform the action of multiplication on this set taking two elements at a time.

Solution:

All the possible ways of takes two elements and find their product is given below

-1 x 0 = 0

-1 x 1 = -1    Observe the products belong to the set A

1 x 1 = 1      Under such a order we say that A is closed under

-1 x -1 = 1     multiplication operation.

1 x 0 = 0

0 x 0 = 0

This property is called Closure property with esteem to Multiplication operation.

One Minute

Introduction to one minute:

In time measurement we have 3 main things which are hours, minutes and seconds. In these 60 seconds is same as 1 minute and 60 minutes is same as one hour. One day is same as 24 hours. Using seconds, minutes can be computed and using minutes, hours can be computed. To do this conversion methods are used.Let us see some example problems for the clear understanding. I like to share this The Quotient with you all through my article.

Example Problems – One Minute:

Example 1 – One minute:

Convert 3 minutes to seconds:

Solution:

Given minutes is 3

In general one minute is equal to 60 seconds

1 minute = 60 seconds

Multiply by 3 on both sides to convert 3 minutes to seconds.

3 `xx ` 1 minute = 3` xx` 60 seconds

3 minutes = 180 seconds

3 minutes is equal to 180 seconds.

Example 2- One minute:

Convert 5 minutes into hours:

Solution:

Given minutes is 5

In general one minute is equal to 0.017 hours

1 minute = 0.017 hours

Multiply by 5 on both sides to convert 5 minutes into hours.

5 `xx` 1 minutes = 5 `xx` 0.017 hours

5 minutes = 0.085 hours.

5 minutes is equal to 0.085 hours.

Example 3 – One minute:

Convert 7 minutes to seconds:

Solution:

Given minutes is 7

In general one minute is equal to 60 seconds

1 minute = 60 seconds

Multiply by 7 on both sides to convert 7 minutes to seconds.

7`xx` 1 minute = 7`xx` 60 seconds

7 minutes = 420 seconds

7 minutes is equal to 420 seconds. Understanding Reciprocal Math is always challenging for me but thanks to all math help websites to help me out.

Two more Example Problems – One Minute:

Example 4- One minute:

Convert 60 minutes into hours:

Solution:

Given minutes is 60

In general one minute is equal to 0.017 hours

1 minute = 0.017 hours

Multiply by 60 on both sides to convert 60 minutes into hours.

60 `*` 1 minutes = 60 `*` 0.0167 hours

60 minutes = 1 hours.

60 minutes is equal to 1hour.

Example 5 – One minute:

Convert 30 minutes to seconds:

Solution:

Given minutes is 30

In general one minute is equal to 60 seconds

1 minute = 60 seconds

Multiply by 30 on both sides to convert 30 minutes to seconds.

30 `*` 1 minute = 30 `*` 60 seconds

30 minutes = 1800 seconds

30 minutes is equal to 1800 seconds.

Example 6- One minute:

Convert 5 minutes into hours:

Solution:

Given minutes is 150

In general one minute is equal to 0.017 hours

1 minute = 0.017 hours

Multiply by 150 on both sides to convert 150 minutes into hours.

150 `*` 1 minutes = 150 `*` 0.017 hours

150 minutes = 2.55 hours.

150 minutes is same as 2.55 hours.

Different Ways to do Division

Introduction to division:

Division is the process of frequent subtraction. It can also be described as inverse of multiplication.  Short ways of division is the process  of dividing a group into smaller equal groups.

Different ways to do division:

Division process is performed in different ways to do, such as.

1. Division operation performed through subtraction.

2. Division and number line.

3. Long division.

Now, we are going to learn the above different ways to do division methods.

First Different Ways - Division Operation Performed through Subtraction.

Example:

There are 18 balls and 3 boxes. John wants to put equal number of balls on each bax. How many balls will there be on each table?

Solution:

We have repeatedly subtracted 3 from 18 six times.
That is 18 divided by 3 equals 6.
`(8)/3 = 6`
Thus division is repeated subtraction.
In the division fact `18/3 =6`

Answer:
18 is the dividend       3 is the divisor
6 is the quotient        Here, the remainder is zero.

Second Different Ways - Division and Number Line.

Just as we use the number line for sddition, subtraction, and multiplication, we can use it for division also.

Example:
How many 2's are there in 14?
Solution:

Starting from 14 we can reach 0 by 7 jumps of 2 steps each.
Thus `14 /2 = 7`

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Third Different Ways - Long Division:

Division by a single digit number (without remainder) through long division method.
Example:

Divide 64 by 2.
Solution:

Steps for long division:

1. Arranange the numerals as shown.
2. Divide 6 tens by 2.` 6/2 = 3` Write 3 in tens place in the quotient.Write the product 6 tens (3 x 2 = 6) below the dividend in the tens place. Subtract the product from the dividend.  6 - 6 = 0.
3.  bring down 4 ones. Divide 4 ones by 2. `4/2 =2` ones. Write 2 in ones place in the quotient. Write the product 4 ones (2 x 2 =4) below the dividend in the ones place. Subtract the product from the dividend. 4 -4 = 0

Verification:
Here dividend = 64, divisor = 2, quotient = 32, remainder = 0. We have dividend = (quotient) x (divisor) + remainder.
64 = 32 x 2 + 0

64 = 64

Hence verified.