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Chapter 13 of 25
Flashcards

Algebra: Fundamental Concepts

ICSE · Class 7 · Mathematics

Flashcards for Algebra: Fundamental Concepts — ICSE Class 7 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

43 questions30 flashcards5 concepts

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30 Flashcards
Card 1Generating algebraic expressions

Lady's age is 28 years more than her son's age x. Write the expression for the lady's age.

Answer

Step 1: Son's age = x years Step 2: Lady's age is 28 years more than x Step 3: Add 28 to x Answer: (x + 28) years

Card 2Generating algebraic expressions

If n is 12 times x, write the algebraic expression for n.

Answer

Step 1: 12 times x means 12 × x Step 2: Write the product as a single term Answer: n = 12x

Card 3Generating algebraic expressions

A two-digit number has unit digit x and ten's digit y. Write the number.

Answer

Step 1: Ten's digit is in the tens place, so it contributes 10y Step 2: Unit digit contributes x Step 3: Add them Answer: 10y + x

Card 4Generating algebraic expressions

Write the expression for 5 times a decreased by 6 times b and then decreased by (8 + c).

Answer

Step 1: 5 times a = 5a Step 2: Decreased by 6 times b means subtract 6b Step 3: Then decrease by (8 + c) Answer: 5a - 6b - (8 + c)

Card 5Constants and variables

Classify each as constant or variable: 3 + 8, x + y - z, 6 + x.

Answer

Step 1: 3 + 8 uses only constants, so it is a constant Step 2: x + y - z uses only variables, so it is a variable Step 3: 6 + x uses constants and variables, so it is a variable Answer: constant, vari

Card 6Terms and expressions

Is 3x × 4y one term or two terms?

Answer

Step 1: Product signs do not separate terms Step 2: 3x × 4y is a product of factors Step 3: So it is one term Answer: One term

Card 7Algebraic expressions

How many terms are in 5 - 8xy + 6x^2y^3 + 5xy^2 - 8x^3y^4?

Answer

Step 1: Count terms separated by + or - Step 2: 5, -8xy, 6x^2y^3, 5xy^2, -8x^3y^4 Step 3: There are 5 terms Answer: 5

Card 8Coefficients

Find the coefficient of x^3 in -8x^3y^4.

Answer

Step 1: Treat x^3 as the chosen part Step 2: The remaining factor is the coefficient Step 3: Remaining factor = -8y^4 Answer: -8y^4

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Frequently Asked Questions

What are the important topics in Algebra: Fundamental Concepts for ICSE Class 7 Mathematics?
Algebra: Fundamental Concepts covers several key topics that are frequently asked in ICSE Class 7 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Algebra: Fundamental Concepts — ICSE Class 7 Mathematics?
Understand the core concepts first, then work through the 43 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Algebra: Fundamental Concepts?
There are 30 flashcards for Algebra: Fundamental Concepts covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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