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ACT Test 1

Question 1: The population of the city of Boston was 520,000 in January 2005. Assume the population grows at a constant rate of 7% per year. Which of the following is an expression for the population of Boston in January 2010?

Question 2: What is the real value of x in the equation log345 - log35 = log7x?

Question 3: What is the length of the segment BD in the figure below, if AD is 5 inches? Question 4: Which of the following graphs could be the correct representation of 2 functions f(x) and g(x) that satisfy the equation g(x) = - f(-x)?

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

Question 6: If 5y + 3x = 4, what is the value of 15y + 9x?

Question 7: The number of real solutions of the equation sin(x) = cos(x) + 2 is:

Question 8: What is the value of the sum of angles a and b in the figure below? Question 9: If a, b and c are consecutive integers, a < b < c, and a + b + c = 96, what is the value of b?

Question 10: If f(x) = x3 + 1 and g(x) = |x - 5|, what is f(g(1))?