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Mathematics for IGCSE & O level - Algebraic Manipulation (Section 8)

  • 1
    Which of the following shows the correct way to factor 3x + 6?
    Хариулт
    (B)
    3(x+2)
  • 2
    What is the result of expanding the expression 2(x + 3)?
    Хариулт
    (B)
    2x + 6
  • 3
    What is the area of a rectangle with length 7 and width 5?
    Хариулт
    (C)
    35
  • 4
    Which of the following is a factor of 4x - 8?
    Хариулт
    (C)
    2
  • 5
    What is the value of 3x^2 + 2x - 1 when x = 2?
    Хариулт
    (A)
    15
  • 6
    Which expressions are equivalent?
    Хариулт
    A
    C
  • 7
    Simplify the expression: 5x + 3y - 2x + y.
    Хариулт
    (B)
    3x + 4y
  • 8
    What is the value of x in the equation 2x + 5 = 11?
    Хариулт
    (A)
    3
  • 9
    Which expression represents the area of a rectangle with length 5x and width 2?
    Хариулт
    (A)
    10x
  • 10
    Which of the following is the expansion of (3x+1)^2?
    Хариулт
    (B)
    9x^2 + 6x + 1
  • 11
    What is the perimeter of a triangle with sides 5, 7, and 9?
    Хариулт
    (B)
    21
  • 12
    Which is equivalent to 2(x + 3) - x?
    Хариулт
    (A)
    x + 6
  • 13
    Identify the correct statement regarding the factors of an expression.
    Хариулт
    (B)
    Factors are numbers or letters which will divide into an expression.
  • 14
    Solve for x: 2(x+3) = 10
    Хариулт
    (B)
    3
  • 15
    What is the first step in factorizing an expression of the form x² + bx + c?
    Хариулт
    (A)
    Identify the factors of 'c'
  • 16
    The formula for the volume of a rectangular prism is V = lwh. If l=2, w=3 and h=4, what is V?
    Хариулт
    (C)
    24
  • 17
    Which expression represents a difference of two squares?
    Хариулт
    (B)
    x² - 4
  • 18
    Which operation is used to remove brackets?
    Хариулт
    (A)
    multiplication
  • 19
    Find the value of x when x/2 = 8
    Хариулт
    (C)
    16
  • 20
    What is the correct simplification of -3(x - 4)?
    Хариулт
    (B)
    -3x + 12
  • 21
    Which expression is equivalent to 5x - 10?
    Хариулт
    (A)
    5(x - 2)
  • 22
    What is the value of 'x' in the equation x/4 + 2 = 7?
    Хариулт
    (C)
    20
  • 23
    Which of the following is the factored form of x²-16?
    Хариулт
    (D)
    (x-4)(x+4)
  • 24
    Simplify: 9x - 2y - 4x + 7y.
    Хариулт
    (A)
    5x + 5y
  • 25
    What is the value of y if 3y - 2 = 10?
    Хариулт
    (D)
    8
  • 26
    Which of the following correctly describes the order of operations when factorizing a quadratic expression?
    Хариулт
    (A)
    Factor out common factors, then identify factors of 'c'.
  • 27
    What is the value of the expression 2x - 1, when x = 3?
    Хариулт
    (C)
    5
  • 28
    What is the next step in simplifying 3x + 5x - 2x?
    Хариулт
    (D)
    Add all coefficients and keep the x
  • 29
    What is the solution of the equation 4x - 5 = 11?
    Хариулт
    (B)
    4
  • 30
    If the perimeter of a rectangle is 28 and the length is 10, what is the width?
    Хариулт
    (B)
    8
  • 31
    What is the correct factorization of 2x + 4?
    Хариулт
    (A)
    2(x + 2)
  • 32
    Which expression represents the area of a square with side length s?
    Хариулт
    (C)
    s^2
  • 33
    What is the correct factorization of 5x + 15?
    Хариулт
    (B)
    5(x + 3)
  • 34
    Expand and simplify: 3(x + 2) - 2x
    Хариулт
    (A)
    x + 6