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Standardized Tests Math and Science Practice

Problem Solving #5

Question #1: If a, b and c are consecutive integers, a < b < c, and a + b + c = 96, what is the value of b?

Question #2: The price of wheat was $5/bushel on January 2007 and $9/bushel on January 2008. By what percentage did the price change?

Question #3: In the figure below, angle AMB is 100o, angle BMD is 40o and angle CME is 60o. What is the value of angle CMD?
Figure not drawn to scale.

Question #4: A vehicle runs from town A to town B at a speed of 20 miles/hour while another vehicle runs from town B to town A at a speed of 60 miles/hour. Both vehicles start their trips at the same time and the distance between towns is 100 miles. How long does it take from the time they start running to the moment they are at the same point on the road?

Question #5: Given the list of integers: -2, 2, 0, 6, 8, 0, -5, 9, 10, 4, which of the following statements is true?

Question #6: What are the solutions x of the equation ax·a1/x = 1, x ≠ 0 and a ≠ 1?

Question #7: If f(x) = |x| and g(x) = x2, how many solutions has f(x) = g(x)?

Question #8: If a, b and c are the sides of any triangle, which of the following inequalities is not true?

Question #9: If x + 4y = 6 and x - 2y = 3, which of the following statements is not true?

Question #10: Prizes totaling $60,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?