When graphed in the standard (x, y) coordinate plane, the graphs of y = x2 - 5 and y = x + 1 intersect at which of the following points?
(A)(-3, 2) and (2, 3)
(B) (-3, 4) and (2, -1)
(C) (3, -4) and (-2, 1)
(D) (3, 4) and (-2, -1)
(E) The graphs do not intersect.
Two girls walk home from school. Starting from school, Susan walks north 2 blocks and then west 8 blocks, while Cindy walks east 3 blocks and then south 1 block. Approximately how many blocks apart are the girls' homes?
(A) 7.1 (B) 10.4 (C) 11.4 (D) 12.7 (E) 16
Correct Answer: C
The stem-and-leaf plot below shows the scores for each golfer in a recent tournament at the Lehigh Valley Golf Club. There were 13 golfers participating in the tournament.
(Note: For example, a score of 72 would have a stem value of 7 and a leaf value of 2.) If a score represented in the stem-and-leaf plot is selected randomly, what is the probability that the score selected is exactly 83?
(A) (B) (C) (D) (E)
Correct Answer: A
Annette took 10 minutes to walk around a rectangular field. The length of the field is 4 times its width. How long would it take Annette to walk the width of the field?
(A) 1 minute(B) 2 minutes(C) 3 minutes(D) 4 minutes(E) 5 minutes
Correct Answer: A
More ACT Math Exam Questions
- 1
Lisa has 5 fiction books and 7 nonfiction books on a table by her front door. As she rushes out the door one day, she takes a book at random. What is the probability that the book she takes is fiction?
- 2
The circumference of a car tire is 75 inches. About how many revolutions does this car tire make traveling 225 feet (2,700 inches) without slipping?
- 3Kaylee is planning to purchase a car. She will need to borrow some of the money and has a chart, shown below, that will help her to approximate her monthly payment. The chart gives the approximate monthly payment per $1,000 borrowed. A local dealership is having an end-of-the-modelyear clearance sale and is offering 5% annual interest on new-car loans for 36, 48, or 60 months. The maximum amount that Kaylee can budget for her monthly car payment is $300. Of the following loan amounts, which one represents the maximum amount that Kaylee can borrow at 5% annual interest while staying within her budget?
- 4William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?
- 5
Isosceles triangle T1 has a base of 12 meters and a height of 20 meters. The vertices of a second triangle T2 are the midpoints of the sides of T1. The vertices of a third triangle, T3, are the midpoints of the sides of T2. Assume the process continues indefinitely, with the vertices of Tk+1 being the midpoints of the sides of Tk for every positive integer k. What is the sum of the areas, in square meters, of T1, T2, T3, …?