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Algebra: Fundamental Concepts — Flashcards

ICSE · Class 7 · Mathematics

30 flashcards for Algebra: Fundamental Concepts (ICSE Class 7 Mathematics) to test yourself on key terms and facts.

43 questions30 flashcards8 formulas & key relations5 concepts

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30 Flashcards·
Generating algebraic expressionsConstants and variablesTerms and expressionsAlgebraic expressionsCoefficients
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?
Key topics in Algebra: Fundamental Concepts include Constants, Variables, Terms, and Expressions, Types of Algebraic Expressions and Polynomials, Product, Factor, Coefficient, and Degree, Like Terms, Unlike Terms, Addition, and Subtraction. Study these first, then practise questions on each for Class 7 exams.
How many flashcards are available for Algebra: Fundamental Concepts?
There are 30 flashcards for Algebra: Fundamental Concepts covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Algebra: Fundamental Concepts for Class 7 exams?
Learn the core ideas first, then work through the 43 practice questions on Algebra: Fundamental Concepts. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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