Last Updated on September 7, 2024 by XAM CONTENT
Hello students, we are providing case study questions for class 7 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 7 maths. In this article, you will find case study questions for CBSE Class 7 Maths Chapter 10 Algebraic Expressions. It is a part of Case Study Questions for CBSE Class 7 Maths Series.
| Chapter | Algebraic Expressions |
| Type of Questions | Case Study Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 7 |
| Subject | Maths |
| Useful for | Class 7 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 7 Maths Chapterwise Case Study |
Case Study Questions on Algebraic Expressions
Questions
Passage 1:
The costs of entry tickets to an amusement park are different for adults and children. An adult ticket costs ₹ 800 and a child ticket costs ₹ 500.
Q. 1. On Sunday, x adult tickets and y child tickets were sold. Which of the following expressions show the money collected through the ticket sale?
(a) 1300x
(b) 800x + 500x
(c) 800x + 500y
(d) (800 + 500) (x + y)
Ans. Option (c) is correct.
Explanation: Required algebraic expression = 800x + 500y
Q. 2. A car parking ticket at the amusement park costs ₹ 150 on Saturdays and Sundays and ₹ 100 on weekdays. In a month with 5 Saturdays and 4 Sundays, the total parking ticket sale was worth ₹ 250,000. Write an equation to represent the situation algebraically.
Ans. Let the No. of cars parking on weekdays = x
Let the No. of cars parking on weekends = y
100x + 150y = 250,000
Q. 3. On Monday, the number of adults who visited the amusement park was the square of the number of children who visited. How much money was collected by selling entry tickets on Monday?
(a) x² (b) 800x² + 500x
(c) 800x + 500x² (d) 1300 (x + x²)
Ans. Option (b) is correct.
Explanation:
Let number of children who visited the park = x
Then number of adults who visited the park = x2
Required expression = 500x + 800 x2
Also check
- Visualizing Solid Shapes Class 7 Case Study Questions Maths Chapter 13
- Symmetry Class 7 Case Study Questions Maths Chapter 12
- Exponents and Powers Class 7 Case Study Questions Maths Chapter 11
- Algebraic Expressions Class 7 Case Study Questions Maths Chapter 10
- Perimeter and Area Class 7 Case Study Questions Maths Chapter 9
- Rational Numbers Class 7 Case Study Questions Maths Chapter 8
- Comparing Quantities Class 7 Case Study Questions Maths Chapter 7
- Triangle and its Properties Class 7 Case Study Questions Maths Chapter 6
- Lines and Angles Class 7 Case Study Questions Maths Chapter 5
- Simple Equations Class 7 Case Study Questions Maths Chapter 4
- Data Handling Class 7 Case Study Questions Maths Chapter 3
- Fractions and Decimals Class 7 Case Study Questions Maths Chapter 2
- Integers Class 7 Case Study Questions Maths Chapter 1
Topics from which case study questions may be asked
- Expressions
- Terms of an expression
- Like and unlike terms
- Monomials, binomials, trinomials and polynomials
- Value of an expression
A combination of constants and variables connected by any or all the four fundamental mathematical operations is called an algebraic expression. Terms having the same literal factors are called like terms and terms having different literal factors are called unlike terms.
Case study questions from the above given topic may be asked.
Expression with one term is called a ‘Monomial’.
Expression with two unlike terms is called a ‘Binomial’.
Expression with three unlike terms is called a ‘Trinomial’.
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Frequently Asked Questions (FAQs) on Algebraic Expressions Case Study
Q1: What is an algebraic expression?
A1: An algebraic expression is a mathematical phrase that contains variables, constants, and operators such as +, −, × and ÷. For example, 2x+3y−5 is an algebraic expression.
Q2: What are the terms in an algebraic expression?
A2: The terms of an algebraic expression are the individual parts that are separated by plus or minus signs. For example, in the expression 3x+5y−7, the terms are 3x, 5y and −7.
Q3: What are constants and variables in algebraic expressions?
A3: Constants are fixed numbers that do not change their value, such as 5, -3, or 7. Variables are symbols, usually represented by letters like x, y or z, which can take different values.
Q4: What is a coefficient in an algebraic expression?
A4: A coefficient is the numerical factor in a term of an algebraic expression that contains a variable. For example, in the term 4x, the number 4 is the coefficient of the variable x.
Q5: How do you add or subtract algebraic expressions?
A5: To add or subtract algebraic expressions, combine like terms. Like terms are those that have the same variables raised to the same powers.
Q6: Can the area of a shape be negative?
A6: No, the area of a shape cannot be negative. It represents the amount of space inside the shape, and space cannot have a negative value.
Q7: What are like terms in an algebraic expression?
A7: Like terms are terms that contain the same variable(s) raised to the same power. For example, 3x and 7x are like terms, but 3x and 7y are not.
Q8: What is the degree of an algebraic expression?
A8: The degree of an algebraic expression is the highest power of the variable(s) in the expression.
Q9: How do you simplify an algebraic expression?
A9: To simplify an algebraic expression, you combine like terms and perform any operations (addition, subtraction, multiplication, division) as required.
Q10: Are there any online resources or tools available for practicing Algebraic Expressions case study questions?
A10: We provide case study questions for CBSE Class 7 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.
