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IPMAT Linear Equations Questions 2026
Linear equations are a big part of the IPMAT Quant section. These questions test how well you can solve simple equations and find unknown numbers.
In the IPMAT 2026, you might see questions where you have to solve equations or use them in word problems. Don’t worry; if you understand the basics and know how to solve equations, these questions will become much easier.
In this post, you’ll find a list of key formulas, practice questions with answers, and some extra questions for practice. You’ll also learn about common mistakes and some tips to save time in the exam.
Important Formulas for IPMAT Linear Equations Questions
You only need a few simple rules to solve most linear equations in IPMAT. These rules help you solve equations and understand how different numbers are related.
You can download the full formula PDF, but here are the most important ones:
Concept | Formula |
Linear Equation (One Variable) | ax + b = 0 |
Linear Equation (Two Variables) | ax + by = c |
Slope of a Line | m = (y₂ - y₁) / (x₂ - x₁) |
Point-Slope Form | y - y₁ = m(x - x₁) |
Standard Form of a Line | Ax + By = C |
Slope-Intercept Form | y = mx + b |
Addition Method | Add equations to remove one variable |
Substitution Method | Solve one equation for one variable, then substitute into the other equation |
Elimination Method | Multiply equations to cancel out one variable |
These formulas help you solve questions about equations, graphs, and word problems.
Top 5 Mistakes to Avoid in IPMAT Linear Equations Questions
Not checking your answer: After solving, always put your answer back into the original equation to check if it’s correct.
Not knowing the types of equations: There are different ways to write equations. Understand the difference between the different forms (standard, slope-intercept, etc.).
Making sign mistakes: Be careful with plus (+) and minus (-) signs. A small sign mistake can change your answer.
Skipping steps: Don’t skip steps while solving. Even simple steps matter and skipping them can lead to mistakes.
Not reading word problems carefully: In word problems, pay attention to the details. Some problems are tricky and you need to set up the correct equation.
List of IPMAT Linear Equations Practice Questions
Here is a set of practice questions on linear equations. These questions cover solving equations, using two equations together, and word problems. Practicing these will help you feel more confident and faster in the exam.
Question 1
The value of k for which the following lines
x-y-1=0
2x+3y-12=0
2x-3y+k=0
are concurrent is
correct answer:- 3
Question 2
If m and n are two positive integers such that 7m + 11n = 200, then the minimum possible value of m + n is
correct answer:- 20
Question 3
Ashok purchased pens and pencils in the ratio 2:3 during his first visit and paid Rs. 86 to the shopkeeper. During his second visit, he purchased pens and pencils in the ratio 4:1 and paid Rs. 112. The cost of a pen as well as a pencil in rupees is a positive integer. If Ashok purchased four pens during his second visit, then the amount he paid in rupees for the pens during the second visit is _____________.
correct answer:- 100
