Daily Practice Problems Linear Equations in Two Variables

Question 1:

Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

(i) x - - 10 = 0 (ii) -2x + 3y = 6

Question 2:

Linear equation x – 2 = 0 is parallel to which axis?

Question 3:

Express x in term of y: + 2y = 6

Question 4:

Find the value of k for which x = 0, y = 8 is a solution of 3x - 6y = k.

Question 5:

Find the value of a if linear equation 3x - ay = 6 has one solution as (4, 3).

Question 6:

Cost of a pen is two and half times the cost of a pencil. Express this situation as a linear equation in two variables.

Question 7:

In an one day international cricket match, Raina and Dhoni together scored 198 runs. Express the statement as a linear equation in two variables.

Question 8:

The cost of a table is 100 more than half the cost of a chair. Write this statement as a linear equation in two variables.

Question 9:

Give equation of two lines on same plane which are intersecting at the point (2, 3).

Question 10:

Let y varies directly as x. If y = 12 when x = 4, then write a linear equation. What is the value of y, when x = 5?

Question 11:

Find two solutions of the equation 4x + 3y = 12.

Question 12:

Draw the graph of x + y = 7.

Question 13:

If (2, 3) and (4, 0) lie on the graph of equation ax + by = 1. Find the value of a and b.

Question 14:

The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.

(Take the cost of a notebook to be Rs x and that of a pen to be Rs y).

Question 15:

Which one of the following options is true, and why?

y = 3x + 5 has

(i) a unique solution, (ii) only two solutions, (iii) infinitely many solutions

Question 16:

Give the equations of two lines passing through (2, 14). How many more such lines are there, and why?

Question 17:

If we multiply or divide both sides of a linear equation with a non-zero number, then what will happen to the solution of the linear equation?

Question 18:

Write the equation of a line which is parallel to x-axis and is at a distance of 2 units from the origin.

Question 19:

In some countries temperature is measured in Fahrenheit, whereas in countries like India it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius: F = ( )C + 32°

If the temperature is -40°C, then what is the temperature in Fahrenheit?

Question 20:

A fraction becomes when 2 is subtracted from the numerator and 3 is added to the denominator. Represent this situation as a linear equation in two variables. Also, find two solutions for this.

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Problem-solving on Class 9 Maths Linear Equations in Two Variables NCERT Chapter 4 after learning a theoretical concept is crucial for several reasons:

Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic Class 9 Maths Linear Equations in Two Variables you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in Class 9 Maths Linear Equations in Two Variables NCERT Chapter 4, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Linear Equations in Two Variables Class 9 Maths in practical scenarios helps you remember them better than passive reading or memorization.
Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Linear Equations in Two Variables Class 9 Maths Notes on LearnoHub.com
Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Linear Equations in Two Variables. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Linear Equations in Two Variables Class 9 Maths Online Tests at LearnoHub.com.
Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Linear Equations in Two Variables Class 9 Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on Class 9 Maths Linear Equations in Two Variables NCERT Chapter 4

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on Class 9 Maths Linear Equations in Two Variables NCERT Chapter 4 useful.

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