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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?
520,000(1.07)
^{4}
520,000(1.07)
^{6}
520,000(1.07)
^{5}
520,000(1.17)
^{1/5}
520,000(1.17)
^{5}
Question 2: What is the real value of x in the equation log
_{3}
45 - log
_{3}
5 = log
_{7}
x?
49
16
5
7
81
Question 3: What is the length of the segment BD in the figure below, if AD is 5 inches?
6
7
8
10
12
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?
80%
90%
40%
-40%
50%
Question 6: If 5y + 3x = 4, what is the value of 15y + 9x?
11
12
13
14
15
Question 7: The number of real solutions of the equation sin(x) = cos(x) + 2 is:
1
2
3
the equation does not have any real solutions
the equation has an infinity of real solutions
Question 8: What is the value of the sum of angles a and b in the figure below?
120
^{o}
200
^{o}
220
^{o}
240
^{o}
260
^{o}
Question 9: If a, b and c are consecutive integers, a < b < c, and a + b + c = 96, what is the value of b?
30
31
32
33
34
Question 10: If f(x) = x
^{3}
+ 1 and g(x) = |x - 5|, what is f(g(1))?
23
24
65
55
81
Review the correct answers here.