(3a + 2b)(a - b2) is equivalent to
(F) 4a + b2
(G) 3a2 - 2b3
(H) 3a2 + 2ab + 2b3
(J) 3a2 - 3ab2 + a2 b2
(K) 3a2 - 3ab2 + 2ab - 2b3
A trapezoidal driveway has the dimensions, in yards, given in the figure below. What is the area, in square yards, of the driveway?
(A) 42 (B) 72 (C) 102 (D) 156 (E) 204
Correct Answer: C
A recent survey of book critics asked 30 critics how many stars out of a possible 5 they gave to a recent novel from a popular author. The 30 critics' responses are summarized by the histogram below.
The group that took the survey wants to show the data in a circle graph (pie chart). What should be the measure of the central angle of the portion for one-star reviews?
(F) 15°(G) 24°(H) 30°(J) 48°(K) 60°
Correct Answer: J
In the figure below, ray 
was constructed starting from rays 
and 
. By using a compass D and G were marked equidistant from E on rays and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF:
(A)are equal. (B)are NOT equal. (C)sum to 30°. (D)sum to 45°. (E)sum to 60°.
Correct Answer: C
More ACT Math Exam Questions
- 1
A grocery store is running a sale on seasonal berries. During the sale, the store sells packages of blueberries for $4 each and packages of strawberries for $6 each. Kate purchased nine packages of fruit for her mother's dinner party for $40. How many packages of blueberries did she purchase?
- 2A certain watch costs $100, and a certain pearl necklace costs $300. If the cost of the watch increases by 5% and the cost of the pearl necklace decreases by 10%, what will be the sum of their new costs?
- 3If p and q are positive integers, and 6pq4 and 12p2q2 have a greatest common factor of 1,050, then which of the following is a possible value for the sum of p and q?
- 4For i2 = -1, (5 - i)2= ?
- 5
Which of the following is equivalent to (Y3)8?