In the figure below, rectangle ABCD shares 
with 
CDE, diagonal 
of the rectangle extends in a straight line beyond D to E to create 
, and the measure of 
CDE is 155°. What is the measure of CBD?
(F) 25
(G) 55
(H) 65
(J) 90
(K) 155
In the standard (x, y) coordinate plane, the midpoint of 
is (5, 7) and a is located at (2, 3). If the coordinates of b are (x, y), what is the value of (x + y)?
（A）19 （B） 17 （C） 11 （D） 8.5 （E） 8
Correct Answer: A
Lucy is studying her ant farm. She needs to approximate the number of ants in the population, and she realizes that the number of ants, N, is close to 50 more than double the volume of the ant farm, V. Which of the formulas below expresses that approximation?
(A) N ≈ 
V + 50
(B) N ≈ (V + 50)
(C) N ≈ 2V + 50
(D) N ≈ 2(V + 50)
(E) N ≈ V2 + 50
Correct Answer: C
The expression 9(y + 3) - 2(4y - 4) is equivalent to:
(A) y - 1(B) y + 15(C) y + 18(D) y + 23(E) y + 35
Correct Answer: E
More ACT Math Exam Questions
- 1
Two similar triangles have perimeters in the ratio 5:6. The sides of the larger triangle measure 12 in, 7 in, and 5 in. What is the perimeter, in inches, of the smaller triangle?
- 2
For the songs on Charlie's mp3 player, the ratio of folk songs to rock songs is 3:11. Which of the following statements about the songs on his mp3 player is(are) true?
I. There are fewer folk songs than rock songs.
II. For every 11 rock songs, there are 3 folk songs.
III. Folk songs comprise
of the songs on Charlie's mp3 player. - 3
The equation
is true for what real value of a? - 4
The highest and lowest test scores of five students in Mr. Canyon's science class are listed below. Which student had the greatest range of scores?
- 5
If
, then y=