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ACT Quiz 2
Question 1: You have large, medium, and small books in the ratio of 7:6:3 and you have a total of 32 books. How many small books do you have?
3
4
5
6
7
Question 2: In the standard coordinate plane (x, y), what are the coordinates x
_{1}
and y
_{1}
of A, if A is the point in the first quadrant of the plane that is determined by the intersection of the y = 2x line and the x
^{2}
+ y
^{2}
= 1 circle?
x
_{1}
= 1/√5 and y
_{1}
= 2/√5
x
_{1}
= 1/√3 and y
_{1}
= 2/√3
x
_{1}
= 1/ and y
_{1}
= 1
x
_{1}
= √5 and y
_{1}
= 2√5
x
_{1}
= 2 and y
_{1}
= 2
Question 3: What is the length of side b in the triangle below?
2
3
4
5
6
Question 4: Celsius degrees can be transformed into Fahrenheit degrees by using the following formula: °C=(5/9) x (°F-32). What is the number x, if x degrees Celsius is equal to x degrees Fahrenheit?
-40
-60
-44
-32
-20
Question 5: A jar contains a nickel, a dime, and six quarters. Tom draws one coin from the jar, and then Mary draws a coin from those remaining. If the probability that Tom draws the nickel and Mary draws the dime is 1/x, what is the value of x?
50
56
60
1/50
1.56
Question 6: The parabola in the figure below is described by the equation: x
^{2}
+ bx + c = 0. Which of the following inequalities is true?
b > 0 and 4c < b
^{2}
b = 0 and 4c < b
b > 0 and 4c > b
^{2}
b < 0 and 4c < b
^{2}
b < 0 and c > 4b
^{2}
Question 7: What is m if the following system of equations has an infinity of solutions?
2x + 6y = 3
4x + 3my = 6
1
2
3
4
5
Question 8: sin(x)cos(x)(1 + tan
^{2}
(x)) =
tan(x) + 1
cos(x)
sin(x)
tan(x)
sin(x) + cos(x)
Question 9: What is the radius of the circle defined by the equation (x - 3)
^{2}
+ (y - 1)
^{2}
= 81?
3
4
9
12
18
Question 10: Segment DE is parallel to segment BC . AD = 6, AE = 4, BD = 9. What is the length of EC ?
5
6
7
8
9
Review the correct answers here.