Algebra Word Problems

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Algebra is an important lesson to learn. I would like to take you through on algebra word problems. I would also like to show your some sample problems on algebra word problems so that you understand better with the illustration.
Simple algebra word problems include the problems with multiple choice answers. irrespective of the complexities involved in the problem, one can decide which answer from the multiple choice given is correct.

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

-->13 = 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
13=10
x=2, y=3 is not a solution of 2x+3y=10.

develop and solve liner model solutions

To develop and solve liner model solutions ,we should know few basics of polynomials and types of polynomials.

polynomial:-
If p(x) is a polynomial in x.The highest exponent of x in p(x)
is called the degree of polynomial p(x).

For example :- 4x+2 is a polynomial in the unknown x and of degree 1.

This math help gives more explanation along with an example.
To explain more clearly ,a polynomial is a finite length expression constructed from variables (also known as indeterminates and constants, by using the operations of addition, subtraction, multiplication, and constant non-negative whole number exponents. For example, x² − 4x + 7 is a polynomial, but x² − 4/x + 7x^3/2 is not, because its second term involves division by the variable x and also because its third term contains an exponent that is not a whole number.

Types of polynomial

Linear :- A polynomial of degree 1 is called linear

Example:-

3x+4x-12=2

 7x-12 = 2

   +12   +12

---------------

   7x = 14

divide with 7 on both sides

we get x=2
Similar

Simple problem on Converting Percentage into Decimal

A simple problem on converting given percentage into decimal number and vice versa.

Topic : Percentage and Decimal Number

There are two problem to make you understand how to convert given percentage into decimal number and the next one is all about decimal number to percentage.

Problem : Convert 0.7% to decimal number and 0.355 to percentage.

Solution :

0.7%
= 0.7/100 (to convert percentage need to divide given numerator by 100)
= 7/1000 (when decimal point shifts, need to append one more zero to right side of the denomenator)
= 0.007

and 0.355
= 355/1000
= 35 . 5/100
= 35 . 5%