Flashcards on Fundamental Algebraic Operations
Fundamental Algebraic Operations: Guide for Students
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Algebraic Expressions and Factoring
14 cards
Card 1
Question: What is the result of simplifying -12 + 8y - 2x + 6x + 9 + 6y - 4 (collect like terms)?
Answer: 4x + 14y - 12
Card 2
Question: How do you expand 8(xy + 3x - 4y - 3) - 4(2 - 4 - 5x)?
Answer: 44x - 28y + 8xy - 32 (from 8xy + 24x - 32y + 24 - 8 + 4y + 20x then combine terms)
Card 3
Question: State the distributive property used to expand 7(2 + 3).
Answer: 7(2 + 3) = 7×2 + 7×3 = 14 + 21 = 35
Card 4
Question: When factoring an expression, what do you take out and where do you place it?
Answer: Take out the highest common factor (HCF) and put it outside the brackets.
Card 5
Question: Factorise 2x + 10.
Answer: 2(x + 5)
Card 6
Question: Factorise 8 - 12y.
Answer: 4(2 - 3y)
Card 7
Question: Factorise 18x + 36x + 24 by taking out the HCF.
Answer: 6(3x + 6x + 4) (as shown in the content)
Card 8
Question: Factorise 4a + 8ab.
Answer: 4a(1 + 2b)
Card 9
Question: Factorise 6xy + 12y.
Answer: 6y(x + 2)
Card 10
Question: Factorise a^2 - 2a.
Answer: a(a - 2)