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.
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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…
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…
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…
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)…
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…
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…
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…
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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