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Standardized Tests Math and Science Practice
Common Core Math
ACT Free Quiz #5
Question 1: The length of a rectangle is four times its width. If the area of the rectangle is 16 square inches, what is the length of the rectangle?
Question 2: What is f(f(2)) if f(x) = x
Question 3: Which of the following is a factored form of the expression 6x
+ x - 2?
(3x + 2)(2x - 1)
(2x + 2)(3x - 1)
(3x + 2)(2x + 1)
(3x - 2)(2x - 1)
(2x + 2)(3x - 2)
Question 4: In the figure below, quadrilateral ABCD has AB parallel with CD. What is the area of triangle ABD?
Question #5:The radius of circle O is half the length of a side of square S.
Area of circle O
Area of square S
The quantity in Column A is greater then the quantity in Column B.
The quantity in Column B is greater then the quantity in Column A.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 6: If x
- nx - 32 = 0 when x = 4, what is the value of n?
Question 7: If f(x) = |x| and g(x) = x
, how many solutions has f(x) = g(x)?
Question #8: Given the list of integers: -2, 2, 0, 6, 8, 0, -5, 9, 10, 4, which of the following statements is true?
mode < median < average
median < mode < average
median < average < mode
mode = median < average
average < median < mode
Question #9: 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?
1 hour and 15 minutes
1 hour and 30 minutes
1 hour and 45 minutes
2 hours and 15 minutes
Question #10: If x + 4y = 6 and x - 2y = 3, which of the following statements is not true?
y = 1/2
x = 4
y = 2
xy = 2
x + y = 9/2
Review the correct answers here.