Solving Math Word Problems
Solving Math Word problems is not easy! A lot of students have difficulty with Math problems but employing some basic techniques will help you. Math word problems are nothing but numerical functions formatted as word. Make your math word problems easy now by working with our expert tutors. Word problems are found in all topics in math like we have algebra word problems, geometry word problems and so on. You can get help in all topics of math like geometry help, calculus help, trigonometry help and so on.
In many cases, especially in word problems or problems that are connected to other branches of science, you come across expressions in verbal form. Translating such expressions into algebraic expressions and forming equations is an easier way to solve the problem. Solve your math word problem with step by step explanation, get your math homework help and math answers now.
Solving math word problems is made easy and simple with these steps:
Ask until it gets clear
Math Word Problems are all about the concepts so it is important that you are clear on the 'process' of how to solve a Math problem. It is important to ask questions and get clarity on the concepts. Once a new topic is introduced you should write it down, review it and in case of any doubts bring it up with your tutor. This process of continuously revising what you learn will gear you up to solve problems.
Read it carefully
It is important to read the word problem you intend to solve slowly and carefully in order to understand what is it that you need to solve. At times you miss out on important information when you give it a quick reading.
Break the problem into parts
Before you get around to solving a Math word problem it is important to break it into parts. Clearly define what you need to do, what all information has been given in the problem and what you already know. Once you have that written down it gets easier to solve the problem.
Different types of math word problems are found in all branches of math:
1) Numbers word problems
2) Algebra word problems
3) Geometry word problems
4) Calculus word problems
5) Trigonometry word problems
6) Probability and Statistics word problems
Solve your math word problems for free with expert online tutors and make your math easy. Our online tutors help you to understand the math problems with step by step explanation and get math answers for the problems at the soonest possible time. Get your math help now and make your math a pleasant indulgence rather than a headache. Try a free demo session to see how our sessions work and feel the difference.
Solved Examples
Solution:
Step 1: Let 'a' and 'b' be the two positive numbers. Then a + b = 31 and a$^2$ + b$^2$ = 625.
Step 2: Now we have two equations:
a + b = 31 ..........(1)
a$^2$ + b$^2$ = 625 .........(2)
Solve equation (1) for b
=> b = 31 - a
Put the result of b in equation (2)
a$^2$ + (31 - a)$^2$ = 625
a$^2$ + 961 + a$^2$ - 62$a$ = 625 [ $\because$ (a - b)$^2$ = a$^2$ + b$^2$ - 2ab]
2a$^2$ - 62$a$ + 336 = 0
or a$^2$ - 31$a$ + 168 = 0
By factorization, we get
a = 7 and a = 24
Step 3: Find the value of b
If a = 7 then b = 31 - 7 = 24
If a = 24 then b = 31 - 24 = 7
Therefore, the largest number be 24.
Solution:
Let a = 8, b = 6 and c = 10
By using converse of Pythagorean Theorem,
c$^2$ = a$^2$ + b$^2$
Solving this, we need to substitute the given values in above equation,
10$^2$ = 8$^2$ + 6$^2$
100 = 64 + 36
100 = 100
So, it satisfies the above condition.
Therefore, the given triangle is a right triangle.