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    • Problem Solving #4






    Question #1: While competing in a marathon event, John is behind Mike by 100 yards. John runs (x - 2) yards while Mike runs (x + 10) yards. What is the new distance between them?










    Question #2: What is the sum of 10% of x and 20% of 2x?










    Question #3: What are the solutions of the equation 5x(x + 1)·5x = 1?










    Question #4: Out of all of the houses characterized in the table below, what is the percentage of new ranches?

    Houses Old New Total
    Ranch 23 ? 30
    Colonial ? 40 ?
    Total 23 ? ?











    Question #5: If one of the houses from the previous question is randomly selected, what is the probability that the selected house is a ranch?
    Houses Old New Total
    Ranch 23 7 30
    Colonial 0 40 40
    Total 23 47 70









    Question #6: The AB side of the ABCD trapezoid is 4 and the BC side is 3. What is the area of the triangle ABD?











    Question #7: The side AB of the ABCD square is 10, AE = ED and BF = FC. What is the area of parallelogram BFDE?









    Question #8: The side of the cube C1 is equal to the height of a cylinder C2 and twice the radius of the same cylinder C2.
    Column A Column B
    Volume of the cube C1 Volume of the cylinder C2









    Question #9: Find the value of x if:

     x + y + z = 5
    x + y - z = 3
    x - y = 2









    Question #10:What is 2% of 8%?