In the standard (x,y) coordinate plane below, the base of a right triangle lies along the x-axis and is bisected by the y-axis. The vertex of the angle opposite the base is on the graph of the parabolic function f(x) = 2x2 - 4. Let b represent any value of x such that -
< x < 0. Which of the following is an expression in terms of b for the area, in square coordinate units, of any such right triangle?
(A) 4b4 - 16b2 + 16
(B) 4b3 - 8b
(C) 2b3 - 4b
(D) 2b2 + b - 4
(E) b2 - 4b + 4
Evan purchased 6 boxes of sugar cookies, each box containing 10 snack bags and each bag containing 12 cookies. Evan could have purchased the same amount of cookies by buying how many family-sized packs of 30 cookies each?
（A）12 （B） 24 （C） 48 （D） 72 （E） 180
Correct Answer: B
What is the slope of the line 9x– 3y= 10?
(F) 3(G) –3(H) 9(J) 
(K) 
Correct Answer: F
A deli offers 4 types of sandwich meat, 3 kinds of cheese, and 5 bread varieties. When you order a sandwich at the deli, you are allowed to choose 1 meat, 1 cheese, and 1 type of bread. How many different sandwich combinations are possible at the deli?
（A）3 （B） 12 （C） 15 （D） 30 （E） 60
Correct Answer: E
More ACT Math Exam Questions
- 1
A group of die-hard baseball fans has purchased a house that gives them a direct view of home plate, although their view of the rest of the field is largely impeded by the outfield wall. The house is 30 meters tall, and their angle of vision from the top of the building to home plate has a tangent of
. What is the horizontal distance, in meters, from home plate to the closest wall of the fans' house?
- 2
For all real values of a and b, the equation |a - b| = 5 can be interpreted as "the positive difference of a and b is 5." What is the positive difference between the 2 solutions for a?
- 3If y is a negative integer, which of the following has the least value?
- 4
In the following figure, each circle is tangent to the other two circles, and the two shaded circles are identical to each other. What is the ratio of the shaded region to the nonshaded region?
- 5
trapezoid is found by multiplying the height byIf a square has an area of 64 square units, what is the area of the largest circle that can be inscribed inside the square?