ACT math practice test 44

1. In the figure below, image and image bisect each other at e. The measure of imageCAE is 80° and the measure of imageBDE is 60°. What is the measure of imageCEA?

image

F. 10°
G. 30°
H. 40°
J. 60°
K. Cannot be determined

2. Given that a = (3, 2) and b = (15, 8) in the standard (x, y) coordinate plane, what is the distance from a to b?

A. 5 image
B. 8
C. 4 image
D. 6 image
E. 18

3. For all real numbers a, b, and c such that a < b and c > 0, which of the following inequalities, if any, must be true?

F. a < c
G. b < c
H. a > c
J. b > c
K. None of the above inequalities must be true.

4. A deli offers 4 types of sandwich meat, 3 kinds of cheese, and 5 bread varieties. When you order a sandwich at the deli, you are allowed to choose 1 meat, 1 cheese, and 1 type of bread. How many different sandwich combinations are possible at the deli?

A. 3
B. 12
C. 15
D. 30
E. 60

5. At a certain company, 240 of the employees are women and the remaining 160 are men. What percentage of the company's workers are women?

F. 25%
G. 33 image%
H. 40%
J. 60%
K. 66image%

6. Alana leaves home to drive to college. She drives 200 miles in 4 hours before stopping for gas. She then drives 10 miles per hour faster than she did on the first part of her trip, and arrives at her dorm in 3 hours. How many miles did she drive in total?

A. 200
B. 300
C. 350
D. 380
E. 430

7. If the monthly payment, m dollars, on a house that costs P dollars is given by the formula image, what is the monthly payment, to the nearest dollar, on a house that costs $200,000?

F. $868
G. $880
H. $960
J. $1,060
K. $1,200

8. What is the sum of the prime factors of the number 330?

A. 6
B. 19
C. 21
D. 22
E. 43

9. In the standard (x, y) coordinate plane, a line passes through the points (1, -2) and (5, 10). At which of the following points does the line cross the y-axis?

F. (-8, 0)
G. (-5, 0)
H. (0, 0)
J. (0, -5)
K. (0, -8)

10. For all positive a, b, and image

A. image
B. image
C. image
D. image
E. image

11. One endpoint of a diameter of a circle with center (2, -3) has coordinates at (5, -2) in the standard (x, y) plane. What are the coordinates of the other endpoint of the diameter?

F. (2 - image, -3 - image)
G. (-1, -4)
H. (0, -4)
J. (2 + image, -3 + image)
K. (8, -1)

12. Payton ran 1image miles on Monday, 2image miles on Tuesday, and 1image miles on Wednesday. What is the median distance that he ran?

A. 7.200 miles
B. 5.742 miles
C. 1.914 miles
D. 1.875 miles
E. None of these.

13. If 6x2 + x - c = (cx - 1)(3x + 2), what is the value of c?

F. -2
G. -1
H. 2
J. 3
K. 6

14. What is the y-coordinate of the point of intersection of the lines y = 3x - 7 and y = 5x + 5 in the standard (x, y) coordinate plane?

A. -25
B. -11
C. -6
D. 6
E. 11

15. What is the area, in square inches, of the figure shown below?

image

F. 24
G. 32
H. 36
J. 42
K. 72