# Tips and Tricks and Shortcuts To Solve Algebra

## Tips and Tricks To Solve Algebra

Algebra is a very wide topic which consists numerous problems. It may seem a problem to many but there’s a trump card for everything. Using conventional methods to solve algebra may take 5-10 minutes per question. Therefore, Tips and Tricks To Solve Algebra are very helpful. They will even help you to master the questions based on algebra quickly and easily.

There are three types of questions that are asked in the competitive exams. This page is all about Tips and Tricks To Solve Algebra.  You can revise some of the most important identities below to become more efficient. Note – Now as you have revised the identities, let us move forward and look up for some of the type of questions that are asked from this topic.

## Type 1: Evaluation or finding the value of a variable

### Question 1:

Find the value of x in 5x + 2 – 3x = 10

Options

A. 4
B. 3
C. 1
D. None of the above

5x + 2 – 3x = 10
5x -3x +2 = 10
2x = 10-2
2x= 8
X= 4

## Type 2: Tips and Tricks and Shortcuts for Algebra by Substitution Methods

### Question 1.

What is the value of 2 (3a- 5)+ 2b (2- 6b) =10 when a= 2 and b =3?

Options

A. 89
B. 23
C. 18
D. None of the above

#### Correct Answer: CExplanation:

2 (3a- 5)+ 2(2a- 6b) =10
6a – 10a + 12b = 10
Substituting the values, we get
6 * 2 -10 *2 + 12 *3 = 10
12 – 20 + 36 =10
12 – 20 + 36 -10 = 0
18

### Question 2.

$\frac{a(b-c)^{2}}{(c-a)(a-b)} + \frac{b(c-a)^{2}}{(a-b)(b-c)} + \frac{c(a-b)^{2}}{(b -c)(c-a)} =?$

Options

A. a +b +c
B. $a^{2} + b ^{2} + c ^{2}$
C. 3
D. abc

#### Correct Answer: AExplanation:

Degree of $\frac{a(b-c)^{2}}{(c-a)(a-b)}$ = $\frac{1+2}{1+1}$ = $\frac{3}{2}$ = $3 -2$ =1

Degree of $\frac{b(c-a)^{2}}{(a-b)(b-c)}$ = $\frac{1+2}{1+1}$ = $\frac{3}{2}$ = $3 -2$ = 1

Degree of $\frac{c(a-b)^{2}}{(b -c)(c-a)}$ = $\frac{1+2}{1+1}$ = $\frac{3}{2}$ = $3 -2$ =1

Therefore, Degree of overall expression is 1.

Therefore, according to the given options :-

Degree Of Option A – 1
Degree Of Option B – 2
Degree Of Option C – 0
Degree Of Option D – 3

Hence, Option a +b +c is the correct option

Read Also: How to solve Algebra question