Expanding And Factorising Test 1

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    7(2x-5)

    • 14x-35
    • 72x-5
    • 14x+5
    • 14x-5
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About This Quiz

This test assesses skills in expanding and factorising algebraic expressions, covering basic polynomial operations and simplification essential for algebra proficiency.

Expanding And Factorising Test 1 - Quiz

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  • 2. 

    Expand 2x(x-9)

    • 2x-18

    • 2x^2 - 18x 

    • 2x-9

    • 2x²-11

    Correct Answer
    A. 2x^2 - 18x 
    Explanation
    To expand the expression 2x(x - 9), you can use the distributive property. Multiply 2x by each term inside the parentheses: 2x(x - 9) = 2x * x - 2x * 9
    Now, perform the multiplications: 2x^2 - 18x So, the expanded form of 2x(x - 9) is 2x^2 - 18x.

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  • 3. 

    -6x(x+2)

    • -6x+12

    • -6x-12

    • -6x²-12

    • -6x²+12

    Correct Answer
    A. -6x²-12
    Explanation
    The given expression is -6x(x+2). To simplify this expression, we need to distribute the -6x to both terms inside the parentheses. This gives us -6x times x, which is -6x², and -6x times 2, which is -12x. Therefore, the simplified expression is -6x²-12.

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  • 4. 

    Factorize 24a²+10a

    Correct Answer
    2a(12a+5)
  • 5. 

    Factorise12kx+21k

    Correct Answer
    3k(4x+7)
    Explanation
    The given expression, 12kx + 21k, can be factorized by taking out the common factor of 3k from both terms. This results in 3k(4x + 7), which is the simplified form of the expression.

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  • 6. 

    Factorise 12x+4

    Correct Answer
    4(3x+1)
    Explanation
    The given expression, 12x+4, can be factorized by taking out the common factor of 4. When we factor out 4 from both terms, we get 4(3x+1). This means that 4 is a common factor of both 12x and 4, and when we divide both terms by 4, we are left with 3x+1 inside the parentheses. Therefore, the correct factorization of 12x+4 is 4(3x+1).

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  • 7. 

    Factorize fully 2x²-4x

    • 2x(x-4)

    • X(2x-4)

    • 2(x²-x)

    • 2x(x-2)

    Correct Answer
    A. 2x(x-2)
  • 8. 

    Factorize 6ab-18a²b

    Correct Answer
    6ab(1-3a)
    Explanation
    The given expression can be factorized by taking out the common factor of 6ab from both terms. This leaves us with 1-3a inside the parentheses. Therefore, the correct factorization is 6ab(1-3a).

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  • Current Version
  • Dec 23, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Jul 20, 2009
    Quiz Created by
    Ruthcallcott
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