Linear Law Questions: Math Quiz!

10 Questions | Total Attempts: 140

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Linear Law Questions: Math Quiz! - Quiz

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Questions and Answers
  • 1. 
    Two variables, x, and y are related by the equation  . Write down the y-intercept of the graph of y against .  
  • 2. 
    Two variables, x and y are related by the equation . Write down the gradient of the graph of xy against .  
  • 3. 
    Two variables, x and y are related by the equation . Write down the gradient of the graph of lg y against x to 3 significant figures.
  • 4. 
    Two variables, x and y are related by the equation . Write down the y-intercept of the graph of lg y against lg x to 3 significant figures.
  • 5. 
    Two positive variables, x and y are related by the equation  .Write down the y-intercept of the graph of  against .
  • 6. 
    Two positive variables, x and y are related by the equation   .Write down the gradient of the graph of  against .
  • 7. 
    The diagram shows a straight line graph obtained by plotting xy against x. Find y in terms of x.
    • A. 

      Y = -0.5x + 3

    • B. 

      Y = -0.5 + 3x

    • C. 

      y = -0.5x + 13

    • D. 

      Y = -0.5 + (3/x)

  • 8. 
    Given the graph shown below, express y in terms of x.
    • A. 

      Y = 0.5x^(0.5) + 4.5

    • B. 

      Y = 0.5x + 4.5x^(0.5)

    • C. 

      Y = 0.5x + 4.5

    • D. 

      Y = 0.5x + 4.5x^2

  • 9. 
    The variables x and y are related in such a way that when (y - x) is plotted against x2, a straight line which passes (1,1) and (5, 3) is obtained. Find the values of x when y = 5.
    • A. 

      X = 2.16, x = -4.16

    • B. 

      X = -2.16, x = 4.16

    • C. 

      X = -7.19, x =-2.19

    • D. 

      X = 7.19, x = 2.19

  • 10. 
    It is known that x and y are related by the equation ay = bx3 - x, where a and b are unknown constants. Express this equation in a form suitable for drawing a straight-line graph, and state which variable should be used for each axis. Which of the following statement is correct?
    • A. 

      Plot (y/x) against (x^2), gradient = (b/a) and y-intercept = -(1/a)

    • B. 

      Plot (y/x) against (x^2), gradient = (b/a) and (y/x)-intercept = -(1/a)

    • C. 

      Plot (y/x) against (x), gradient = (-b/a) and y-intercept = -(1/a)

    • D. 

      Plot (y/x) against (x), gradient = (-b/a) and (y/x)-intercept = -(1/a)

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