ACT Prep Questions

If the two lines 2x + y = 0 and y = 3 are plotted on a typical xy coordinate grid, at which point will they intersect? A. -1.5, 3 B. 4, 1 C. -1.5, 0 D. 4.5, 1 E. 1.5, 3

A. -1.5, 3

If f (x) = and f (2k) = 2k, what is one possible value for k ? A. 2 B. 3 C. 4 D. 6 E. 8

A. 2

The expression log3(63) + log3(5) − log3(35) equals which of the following? A. 2 B. 3 C. 6 D. log3(33) E. log3(56)

A. 2

A crane raises one end of a 3300 lb steel beam. The other end rests upon the ground. If the crane supports 30% of the beam's weight, how many pounds does it support? A. 990 lbs B. 1100 lbs C. 2310 lbs D. 700 lbs E. 330 lbs

A. 990 lbs

My mom had put me on the spot, and I needed to think fast. Maybe I should tell her the truth, I thought, the truth being that I had been fishing all of those mornings, that it was the right time of the year for catching trout and that English literature could wait. My dad had opened the previous warning letter from my high school, and he said he would have done the same thing himself. That's when we had made the pact. We wouldn't tell mom as long as I showed up for tests and kept up my grades. I had done my part, and I was tired of trying to hide the truth. Which of the following statements best summarizes the passage above? A. Jake deliberates about whether or not he should tell his mom that he had been fishing instead of going to class. B. Jake realizes that his dad has broken the pact by telling his mom the truth. C. Jake knows that he is not living up to the pact because his grades have started to fall. D. Jake decides that it was better to keep lying about absences.

A. Jake deliberates about whether or not he should tell his mom that he had been fishing instead of going to class

Of the following expressions, which is equal to 6(√10)? A. √(360) B. √(6) C. √(600) D. 10√(6) E. 36

A. √(360)

A straight line with slope +4 is plotted on a standard Cartesian (xy) coordinate system so that it intersects the y-axis at a value of y = 1. Which of the following points will the line pass through? A. (0, -1) B. (2, 9) C. (1, 4) D. (4, 1) E. (0, 0)

B. (2, 9)

When x = 3 and y = 5, by how much does the value of 3x2 - 2y exceed the value of 2x2 - 3y ? A. 4 B. 14 C. 16 D. 20 E. 50

B. 14

A box of laundry detergent contains 16.5 oz of product. What is the maximum number of loads that can be washed if each load requires a minimum of 3/4 oz of detergent? A. 18 loads B. 22 loads C. 16.5 loads D. 50 loads E. 10 loads

B. 22 loads

For many years, my high school has offered a foreign exchange (1) program, this opportunity enables students to spend a year in another country. The students are paired with host families in the foreign country. The high school has sent students to France, Peru, Japan, and Egypt, among other places. Last year, I was able to take part in the program. My destination (2) country being Greece, (3) who is located in the southeastern part of Europe. (2) A. NO CHANGE B. country was C. country, known as D. country

B. country was

For many years, my high school has offered a foreign exchange (1) program, this opportunity enables students to spend a year in another country. The students are paired with host families in the foreign country. The high school has sent students to France, Peru, Japan, and Egypt, among other places. Last year, I was able to take part in the program. My destination (2) country being Greece, (3) who is located in the southeastern part of Europe. (3) A. NO CHANGE B. which C. in which D. what

B. which

The ceremony of driving the golden spike was the culmination of efforts begun more than 30 years earlier. In 1845, the merchant and amateur geographer Asa Whitney suggested to Congress that it fund the construction of a railroad line between Chicago and northern California. President Abraham [Lincoln, who selected] the ultimate pathway for the railroad once plans were drawn up in 1862. A. No change B. Lincoln, selector of C. Lincoln selected D. Lincoln selecting

C. Lincoln selected

The opposition asks us to support Governor Stoppard's senatorial campaign, after his six previous losses, because "even if he is not Thomas Jefferson, he has tried harder than anyone in U.S. politics today." Ford tried hard to make the Edsel, but we should not all go buy this unsound automobile. Which of the following best describes the main point of the passage? A. Governor Stoppard's senatorial campaign is doomed to failure. B. Jefferson is a superior to Stoppard as a political leader. C. The opposition party is confusing effort with achievement. D. Stoppard has not been very effective in his pursuit of a Senate seat.

C. The opposition party is confusing effort with achievement.

Some star systems radiate strongly at both shorter and longer wavelengths: in the ultraviolet region and in the infrared/radio regions. This odd distribution is explained by the pairing of a red-giant star and a hot small star that travel around a common center. These are known as symbiotic stars. The primary purpose of the passage is to A. argue that a great percentage of binary star systems are symbiotic B. criticize the theory of symbiotic stars as overly speculative C. describe symbiotic stars as a distinct type of star system D. compare symbiotic stars to red giants and smaller stars

C. describe symbiotic stars as a distinct type of star system

For many years, my high school has offered a foreign exchange (1) program, this opportunity enables students to spend a year in another country. The students are paired with host families in the foreign country. The high school has sent students to France, Peru, Japan, and Egypt, among other places. Last year, I was able to take part in the program. My destination (2) country being Greece, (3) who is located in the southeastern part of Europe. (1) A. NO CHANGE B. program, it was the sort that C. program that D. program it

C. program that

If the length of segment AB = x, and the length of segment OB = y, which of the following expressions describes the radius of the circle? A. y + 4 B. x2 + y2 C. √(x2 + y2) D. x + y E. √(x2 + 1)

C. √(x2 + y2)

Which number is equivalent to 2-3? A. 1/2 B. 1/4 C. 1/16 D. 1/8 E. 1/12

D. 1/8

A circle has an area of x. If the diameter is increased by 50%, what is the area of the resulting circle in terms of x? A. 1.25x B. 1.5x C. 2x D. 2.25x E. 3x

D. 2.25x

If 22n + 22n + 22n + 22n = 424, then n = A. 3 B. 6 C. 12 D. 23 E. 24

D. 23

Some star systems radiate strongly at both shorter and longer wavelengths: in the ultraviolet region and in the infrared/radio regions. This odd distribution is explained by the pairing of a red-giant star and a hot small star that travel around a common center. These are known as symbiotic stars. According to the passage, the radiation emitted by symbiotic stars is distinctive in that it: A. is visible on photographic plates B. consists partly of visible waves C. cannot be detected by the naked eye D. is strong at the extreme ends of the spectrum

D. is strong at the extreme ends of the spectrum

A blouse normally sells for $138, but is on sale for 25% off. What is the cost of the blouse? A. $125 B. $67 C. $34.50 D. $113 E. $103.50

E. $103.50

There are n musicians in a marching band. All play either a drum or a brass instrument. If p represents the fraction of musicians playing drums, how many play a brass instrument? A. P(n - 1) B. pn - 1 C. (p + 1)n D. (p - 1)n E. (1 - p)n

E. (1 - p)n

A bullet travels at 5 x 106 feet per hour. If it strikes its target in 2 x 10-4 hours, how far has it traveled? A. 50 feet B. 25 feet C. 200 feet D. 100 feet E. 1000 feet

E. 1000 feet

Which of the following can be divided by 3, with no remainder? A. 8912 B. 46 C. 739 D. 2018 E. 555

E. 555

In the standard (x,y) coordinate plane, when a ≠ 0 and b ≠ 0, the graph of has a vertical asymptote at: A. y = −a B. y = a C. x = −1 D. x = −a/2 E. x = −a

E. x=-a