Class 8 Algebraic Expressions Worksheet with Case Study | Practice Set

Class 8 Algebraic Expressions Worksheet with Case Study

Enhance your mathematical understanding with this Class 8 Algebraic Expressions Worksheet with Case Study. Designed for students aiming to master algebra, it includes simplified examples and math case study questions for better clarity. These worksheets improve logical reasoning and help link algebraic concepts to real-world contexts.

Key Benefits and Case Study Insights

Each worksheet features Case Study math questions for class 9 and practical exercises to strengthen core math skills. By solving math case study questions class 9, students develop analytical thinking and confidence. Moreover, transition-based explanations guide learners step-by-step through complex algebraic problems, making study sessions more engaging and productive.

Learn Algebra through Real-life Examples

Our Class 8 Algebraic Expressions Worksheet with Case Study provides well-structured examples with transition-based hints. These practice sets help students prepare for advanced math case study questions in higher grades efficiently.

Electricity Bill Calculation Case Study Quiz

Case Study 5: Calculating Electricity Bill using Algebraic Expressions

An apartment complex has two types of electric connections: domestic and commercial. The monthly electricity charge for domestic usage is represented by the expression 2x + 100 rupees, and for commercial usage by 5x + 200 rupees, where x represents the number of units consumed multiplied by the per-unit rate (in rupees).

If there are m domestic flats and n commercial shops, the total bill for the entire complex can be represented by:

T = m(2x + 100) + n(5x + 200)

The apartment association wants to simplify, substitute, and evaluate this expression to predict monthly electricity expenses and budget for the entire complex.

MCQ Questions

1. Simplify the expression for total bill T = m(2x + 100) + n(5x + 200).
Answer: (c)
Solution: Expanding gives T = 2mx + 5nx + 100m + 200n = (2m + 5n)x + (100m + 200n). Hence, (a) and (b) are equivalent.
2. If m = 10, n = 5, and x = 50, find the total bill.
Answer: None of these
Solution: T = (2m + 5n)x + (100m + 200n) = (20 + 25)(50) + (1000 + 1000) = 45(50) + 2000 = 2250 + 2000 = 4250. Correct answer is 4250, not listed.
3. Identify the coefficient of x in the simplified expression.
Answer: (a)
Solution: In T = (2m + 5n)x + (100m + 200n), the coefficient of x is 2m + 5n.
4. If each domestic flat’s fixed charge increases by 20 rupees, what will be the new total bill expression?
Answer: (c)
Solution: The fixed charge for domestic flats increases from 100 to 120, so T = m(2x + 120) + n(5x + 200). Simplifying gives T = (2m + 5n)x + (120m + 200n). Hence, (a) and (b) are both correct.
5. If x = 40, m = 8, and n = 2, calculate the total bill.
Answer: (c)
Solution: T = (2m + 5n)x + (100m + 200n) = (16 + 10)(40) + (800 + 400) = 26(40) + 1200 = 1040 + 1200 = 2240.
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