Circle A has its center at point (-5,2) with a radius of 2, and circle B is represented by the equation (x + 4)2 + (y-- 2)2 = 9. Where is point (-2,2) located?
(F) Inside circle A only
(G) Inside circle B only
(H) Inside both circle A and circle B
(J) Outside both circle A and circle B
(K) Cannot be determined from given information
Points (2, - 2) and (3,10) lie on the same line in the standard (x,y) coordinate plane. What is the slope of this line?
(A) 12 (B) 8 (C) (D) -8 (E) -12
Correct Answer: A
In septagon ABCDEFG shown below, a = 115° and g = 70°. What is the sum of the measures of the other 5 interior angles?
(A)585° (B) 595° (C) 655° (D) 690° (E) 715°
Correct Answer: E
Andrea wants to fill in two sections of her backyard with sod that must be purchased in 2-x-2-foot squares. If the two sections measure 30 x 40 feet and 60 x 80 feet, how many squares of sod does she need to buy?
(F) 1,000(G) 1,250(H) 1,500(J) 1,600(K) 2,000
Correct Answer: H
More ACT Math Exam Questions
- 1A boat departs Port Isabelle, Texas, traveling to an oil rig. The oil rig is located 9 miles east and 12 miles north of the boat’s departure point. About how many miles is the oil rig from the departure point?
- 2Six equilateral triangles form the figure below. If the perimeter of
each individual triangle is 15 inches, what is the perimeter of ABCDEF, in inches?
- 3
Passes to the Renaissance Faire cost $9 when purchased online and $12 when purchased in person. The group sponsoring the fair would like to make at least $4,000 from sales of passes. If 240 passes were sold online, what is the minimum number of tickets that must be sold in person in order for the group to meet its goal?
- 4
For all real numbers s, t, u, and v, such that s + t + u = 29 and s < v, which of the following statements is true?
- 5The second term of an arithmetic sequence is -2, and the third term is 8. What is the first term?
(Note: An arithmetic sequence has a common difference between consecutive terms.)