Flashcards on Fundamental Mathematics Concepts
Fundamental Mathematics Concepts: Grade 8 SEO Guide
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Grade 8 Mathematics
25 cards
Card 1
Question: What are the main subsets of the number system shown for Grade 8 (by subset)?
Answer: Whole numbers, integers, natural numbers, rational numbers, and real numbers (as presented under number system & classification).
Card 2
Question: What rule helps convert subtraction into addition with integers?
Answer: Keep, Change, Change — e.g., 5 - 3 = 5 + (-3); 5 - (-3) = 5 + 3.
Card 3
Question: What is the rule for adding integers with the same sign?
Answer: Add the absolute values and keep the common sign.
Card 4
Question: What is the rule for adding integers with different signs?
Answer: Subtract the smaller absolute value from the larger and take the sign of the number with the larger absolute value.
Card 5
Question: Give the sign rule for multiplication or division of two integers.
Answer: If the signs are the same (+×+ or -×-) the result is positive; if the signs are different (+×- or -×+) the result is negative.
Card 6
Question: State the order of operations (PEDMAS/BODMAS) used in calculations.
Answer: 1. Parentheses/Brackets 2. Exponents/Orders 3. Division & Multiplication 4. Addition & Subtraction.
Card 7
Question: How do you evaluate 5 + (2 × -3) step-by-step?
Answer: First evaluate inside brackets: 2 × -3 = -6. Then: 5 + (-6) = -1.
Card 8
Question: What are the two main steps when simplifying algebraic expressions shown?
Answer: 1) Apply the distributive property. 2) Combine like terms.
Card 9
Question: Use distributive property to simplify 2(x - 3) + 4x. What is the result?
Answer: 2(x - 3) + 4x = 2x - 6 + 4x = (2+4)x - 6 = 6x - 6.
Card 10
Question: In algebraic language, what is a variable, a term, a coefficient, and a constant?
Answer: Variable: symbol like x or y. Term: an expression like 3x^2 or -5y. Coefficient: numerical factor (e.g., 7 in 7x). Constant: standalone number (e.g.,