Updated On : June 8, 2023

**Summary: **Algebra is a wide topic with numerous problems. However, algebraic equations are relatively quick and easy. Using conventional methods to solve algebra may take 5-10 minutes per question. To solve a two-step algebraic equation, you must isolate the variable by using either addition, subtraction, multiplication, or division. If you want to know how to solve algebraic questions in a variety of ways, just follow the tips and tricks given in the post below.

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables.

Algebra helps in the representation of problems or situations as mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Most of you might struggle while solving questions on this topic. However, learning simple tips and tricks would help you score good marks on the exam.

To make it easier, we have provided some simple tips to help you better understand how to solve algebra questions in the IPMAT exam.

All the branches of mathematics, such as trigonometry, calculus, and coordinate geometry, involve algebra. Time management plays a vital role while solving questions that involve lengthy calculations.

Knowing time management allows you to crack the quantitative section in any competitive exam easily.

The following are some of the **best tips to enhance your Math preparation for IPMAT.**

Your basics should be clear to crack the quant section. You have to spend sufficient time on every topic of algebra and ensure that your basics are clear.

Also, you need to know your weaknesses and strengths. It will help you build solid areas and focus on the weaker areas to work hard.

- Just learning the formulas is not enough to solve the questions quickly.
- Instead, it would help if you understood better where the particular formula could be applied while solving the questions on different topics. This way, you can build up your confidence and perform well in the exam.

The difficulty level of each question will vary in the quantitative section. Hence, you may require more time for tough questions.

- It would help if you worked on improving your time management skills and speed in the final exam.
- Most of you may end up wasting time on a single question which will affect other sections too.
- If you are unsure about the answer, move to the next question immediately. Later, you can come back and solve the left-out question.

Practice is the key to scoring good marks in the mathematics section. Make sure to solve as many questions as possible from the previous year's papers.

This will not only help improve your time management skills and speed but also helps in getting a fair idea about the difficulty level and the type of questions asked in the exam.

Since algebra involves more calculations, it is essential to solve more and more **previous year's question papers for IPMAT.**

Before answering the question, read the question twice and understand which formula you can apply to that question.

Understanding the given question will help save your time in the exam and solve the questions within 2-3 minutes.

As said above, learning the formula and understanding how to apply the formula plays a vital role while solving a question.

The following are some of the **important algebra formulas for IPMAT.**

- (a + b) * (a – b) = (a
^{2}– b^{2}) - (a + b)
^{2 }= (a2 + b2 + 2ab) - (a – b)
^{2}= (a^{2}+ b^{2}– 2ab) - (a + b + c)
^{2}= a^{2}+ b^{2}+ c^{2}+ 2(ab + bc + ca) - (a
^{3}+ b^{3}) = (a + b) * (a^{2}– ab + b^{2}) - (a
^{3}– b^{3}) = (a – b) * (a^{2}+ ab + b^{2}) - (a
^{3}+ b^{3}+ c^{3}– 3abc) = (a + b + c) * (a^{2}+ b^{2}+ c^{2}– ab – bc – ac)

To help you get an idea about the type of questions asked in the exam, we have provided a few important questions that are curated from the **previous year's papers.**

The following are some of the Algebra questions for your practice and understanding of the tricks and unique methods to solve the Algebra question quickly.

**Question 1: **

Square root of (500 x 501 x 502 x 503 + 1) =?

(a) 250001

(b) 250151

(c) 250101

(d) 251501

**Question 2:**

N² = 1 + 2014 x 2015 x 2016 x 2017

What is the value of N?

(a) 4026639

(b) 4062239

(c) 40262639

(d) 40662639

**Read more**:**Short tricks to solve para jumble questions in IPMAT**

**Question 3: **

x² - 15/x = 4and x ≠ 3 find x (x + 1) (x +2) (x + 3)?

(a) 12

(b) 15

(c) 21

(d) 27

**Question 4: **

x³ + 4x – 8 = 0, then x⁷ + 64x² =?

(a) 96

(b) 128

(c) 216

(d) 108

**Question 5: **

If x⁴ + x- ⁴ = 194, (x > 0), then the value of (2x – 4) ² is:

(a) 15

(b) 20

(c) 12

(d) 16

* Read more*:

**Question 6: **

If x⁴ + x- ⁴ = 2207, (x > 0), then the value of (x – 2) (x – 3) (x – 4) (x – 5) is:

(a) 77

(b) 99

(c) 89

(d) 11

**Question 7: **

If root x + 1/root x = 4, x > 0 then x³ (x – 14) (x² - 194)

(a) 0

(b) 1

(c) 1

(d) 2

Download Solutions PDF for Algebra Questions

**Question 8: **

If x⁴ + x- ⁴ = 1154, (x > 0), then the value of 2 (x – 3) ² is:

(a) 16

(b) 12

(c) 20

(d) 15

**Question 9: **

If x⁴ + 1/x ⁴ = 527, (x > 0), then the value of (x – 1) (x – 2) (x – 3) (x – 4) is:

(a) 12

(b) 15

(c) 18

(d) 20

* Read more*:

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