Daily Practice Problems
Class 7 Maths
Algebraic Expressions
daily practice problem

Question 1:

Write two algebraic expressions in two variables and explain the terminology.

 

Question 2:

Write factors of expression

2a2 + 3ab + 5b2

 

Question 3:

Write the algebraic expressions from below description:

Sum of square of number a and b subtracted from their product and added to 5.

 

Question 4:

Draw a tree diagram for the below algebraic expression showing its terms and factors.

-x2 -xy + 5y2

 

Question 5:

Give an example each of mononomial, binomial, trinomial and polynomial.

 

Question 6:

Classify below as Like and Unlike terms.

a) y and 25y

b) x and xy

c) -ab and -15ab

 

Question 7:

Add the below algebraic expressions:

a2 + 9ab -3b2 + 10 and

-7a2 -2ab + 5b2 -19

 

Question 8:

Subtract 12xy – 7y – 3x from 15xy + 9y + 13x

 

Question 9:

What should be subtracted from 7a2 – 2b2 + 4ab + 12 to obtain a2 –5b2 + 16ab - 10?

 

Question 10:

Find the value of below expressions when z = -3

2z3 + 3z2 + 4z -7

 

Question 11:

Find the value of below expression for x = 2, y = 3.

x3 + 3xy +y2 – 12

 

Question 12:

Find the value of y if the value of 2x3 + x2 – y equals to 15, when x = 1.

 

Question 13:

Given an algebraic expression 2n2 +3n -5 for a number pattern, find the 1st, 4th and 20th term.

 

Question 14:

Find the value of a if the value of 3a2 + 5ab – b2 equals to 15, when b = 3.

 

Question 15:

The number of sticks needed to form n shapes of H is given by algebraic expressions below. How many sticks are required to make 5 shapes of H.

 

Question 16:

Given an algebraic expression n3 +n2 +c for a number pattern.

If the 2nd term is 25, find the 5th term.

 

Question 17: 

Add the below algebraic expressions:

3x3 + 2xy -8y2 + 1 and

-5x3 -7xy + 9y -9

 

Question 18:

Identify in the given expressions, terms which are not constants. Give their numerical coefficients.

(i) 5x – 3

(ii) 11 – 2y2

(iii) 2x – 1

(iv) 4x2y + 3xy2 – 5

 

Question 19:

The number of sticks needed to form n shapes of F is given by algebraic expressions below. How many sticks are required to make 50 shapes of F.


 

Question 20:

Classify the following into monomials, binomial and trinomials.

(i) -6

(ii) -5 + x

(iii) 32x – y

(iv) 6x2 + 5x – 3

(v) z2 + 2

**********

Problem-solving on Class 7 Maths Algebraic Expressions NCERT Chapter 12 after learning a theoretical concept is crucial for several reasons:

  1. Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic Class 7 Maths Algebraic Expressions 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.
  2. Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in Class 7 Maths Algebraic Expressions NCERT Chapter 12, 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.
  3. 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.
  4. Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Algebraic Expressions Class 7 Maths in practical scenarios helps you remember them better than passive reading or memorization.
  5. 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 Algebraic Expressions Class 7 Maths Notes on LearnoHub.com
  6. Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Algebraic Expressions. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
  7. 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 Algebraic Expressions Class 7 Maths Online Tests at LearnoHub.com.
  8. 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.
  9. 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.
  10. 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 Algebraic Expressions Class 7 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 7 Maths Algebraic Expressions NCERT Chapter 12

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 7 Maths Algebraic Expressions NCERT Chapter 12 useful.

Last but not least, to get the best hold on Class 7 Maths Algebraic Expressions NCERT Chapter 12, do not forget to check out:

  • Algebraic Expressions Class 7 Maths Best videos
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  • Algebraic Expressions Class 7 Maths DPPs, Download PDF of solutions
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