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
An integer from 299 through 1,000, inclusive, will be chosen randomly. What is the probability that the number chosen will have 1 as at least 1 of its digits?
(A) (B) (C) (D) (E)
Correct Answer: B
For all integer values of a and b such that a > 0 and b<0, which of the following must also be an integer?
(F) 3a+b (G) 3a-b (H) 3ab (J) 3-a (K)
Correct Answer: G
Television screen sizes are determined by the diagonal length of the rectangular screen. Chad recently changed from watching a television with a 19-inch screen to a television with a similarly shaped 32-inch screen. If a car on the 19-inch screen appeared 12 inches long, how long, to the nearest inch, would the same car appear on the 32-inch screen?
(A)16 (B) 18 (C) 20 (D) 22 (E) 24
Correct Answer: C
More ACT Math Exam Questions
- 1
RST is a right triangle with side lengths of r, s, and t, as shown below. What is the value of cos2 S + cos2 R?
- 2A size 8 dress that usually sells for $60 is on sale for 30% off. Victoria has a store credit card that entitles her to an additional 10% off the reduced price of any item in the store. Excluding sales tax, what is the price Victoria pays for the dress?
- 3
In the diagram below, ABC is isosceles and BCD is equilateral. = and the measure of ABC is half the measure of BAC. What is the measure of ABD?
- 4
In the figure below, the circle with center O is tangent to , , , and . The measure of angle BDE is 75° and the measure of DEA is 105°.
The lines in which of the following pairs of lines are necessarily parallel?
I. and
II. and
III. and
- 5
The table below shows the percents of U.S. citizens who had ever consumed a certain brand-name soda, out of all soda consumers, for each year from 1986 through 2006.
By 2002 there were 74,672,120 U.S. citizens who had consumed the brand-name soda. According to this information, approximately how many people were soda consumers, of the brand-name soda or other sodas, in 2002?