In this section, you will learn how to solve algebra word problems step by step.

**Step 1 :**

Read the question twice and understand the information clearly. Because, always it is very important to understand the information given in the question.

**Step 2 :**

If it is possible, we have to split the given information. Because, when we split the given information in to parts, we can understand them easily.

**Step 3 :**

Once we understand the given information clearly, solving the word problem in algebra will not be a challenging one.

**Step 4 :**

When we try to solve the word problems, we have to introduce "x" or y" or some other alphabet for unknown value ( = answer for our question). Finally we have to get value of the alphabet which was introduced for the unknown value.

**Step 5 :**

If it is required, we have to draw picture for the given information. Drawing picture for the given information will give us a clear understanding about the question.

**Step 6 :**

Using the alphabet introduced for unknown value, we have to translate the English statement (information) given in the question as mathematical equation.

In translation, we have to translate the following English words as the corresponding mathematical symbols.

of -----> x (multiplication)

am, is, are, was, were, will be, would be -----> = (equal)

**Step 7 :**

Once we have translated the English Statement (information) given in the question as mathematical equation correctly, 90% of the work will be over. The remaining 10% is just getting the answer. That is solving for the unknown.

These are the steps most commonly involved in solving word problems in Algebra.

Let us see how the above explained steps work in solving word problem in algebra.

**Question :**

The denominator of a fraction exceeds the numerator by 5. If 3 be added to both, the fraction becomes 3/4. Find the fraction.

**Answer :**

**Step 1 :**

In this problem, the denominator of the fraction is linked to the value in the numerator.

That is, the denominator of a fraction exceeds the numerator by 5

Once we get the value of the numerator, easily we can get the value of the denominator and find the required fraction.

**Step 2 : **

Let x be the numerator.

Then, the denominator of the fraction is (x + 5).

Therefore, the required fraction is

= x / (x + 5) -----(1)

**Step 3 : **

It is given that if 3 be added to both, the fraction becomes 3/4.

Then, we have

(x + 3) / (x + 5 + 3) = 3 / 4

Simplify and solve fore x.

(x + 3) / (x + 8) = 3/4

4(x + 3) = 3(x + 8)

4x + 12 = 3x + 24

x = 12

**Step 4 : **

Substitute 12 for x in (1)

(1)-----> x / (x + 5) = 12 / (12 + 5)

x / (x + 5) = 12 / 17

So, the required fraction is 12 / 17.

Please click on the topics given below in which you would like to have word problems.

**Word problems on simple equations **

**Word problems on linear equations**

**Word problems on quadratic equations**

Apart from the word problems in the above topics in Algebra, if you wish to have word problems in different topics of math,

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us :

**v4formath@gmail.com**

We always appreciate your feedback.

You can also visit the following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**

**Sum of all three four digit numbers formed using 0, 1, 2, 3**

**Sum of all three four digit numbers formed using 1, 2, 5, 6**

HTML Comment Box is loading comments...