If x and y are integers such that y > 12 and 2x + y = 19, which of the following is the solution set for x?
(A)x ≥ 4
(B) x ≥ 3
(C) x ≤ 4
(D) x ≤ 3
(E) x ≤ 0
If you drive 60 miles at 90 miles an hour, how many minutes will the trip take you?
(F) 15 (G) 30 (H) 40 (J) 60 (K) 90
Correct Answer: H
In the following figure, O is the center of the circle, is tangent to the circle at D,and is tangent to the circle at E.Which of the following must be true?
(F) (G) is isosceles(H) (J) (K) is a square
Correct Answer: K
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?
(A) 2 (B) 4 (C) 6 (D) 7 (E) 10
Correct Answer: D
More ACT Math Exam Questions
- 1
Pat's Pastries baked 80 apple pies and 50 loaves of apple bread to be sold at a 2-day Fall Festival. The pies were sold for $25 each and the loaves of bread were sold for $10 each. Which of the following expressions gives the total amount of money, in dollars, collected from selling all of the apple pies and B of the loaves of bread?
- 2
Andrea and Zach are both waiting for an appointment with a guidance counselor. When they arrived, each received a card from the secretary, telling the hour and minute of his or her arrival. Two minutes ago, Andrea had been waiting exactly as many minutes as Zach. Three minutes from now, Andrea will have been waiting exactly as long as Zach. If the time is now 11:30, at what time did Andrea arrive?
- 3Danielle’s phone plan charges her $30 per month for the first 200 minutes and then $0.10 per minute for each subsequent minute. Which of the following functions takes an input of any whole number value of x≥200 and outputs the value for f(x) as the amount of dollars Danielle would pay for xminutes of phone usage?
- 4
In the figure below, ABCD is a rectangle, AB = AE, and E, F, G, and H lie on AD. Of the angles BEA, BFA, BGA, BHA, and ∠BDA, which one has the greatest tangent?
- 5To increase the mean of 5 numbers by 3, by how much would the sum of the 5 numbers need to increase?