If (a,-3) is on the graph of the equation x - 4y = 14 in the standard (x,y) coordinate plane, then a =?
(F) 
(G) -2
(H) 2
(J) 17
(K) 26
A poor, frustrated artist named Fresco created a plan to make money. He collected trash, repurposed it into sculptures, then asked various celebrities to write and paint on these trash objects, which he then sold on his own as modern high art. The chart below separately shows the cost and revenue of his plan. The linear cost function, C(x), represents the total money spent to make and market the art, while the linear revenue function, R(x), shows the amount of money he has made in sculpture sales.
Fresco initially spent money promoting the project in the media. He also had to pay the celebrities to participate. After 6 months, Fresco had created and sold x number of trash sculptures and finally broke even: he hadn't made or lost any money. How many sculptures did Fresco sell in his first 6 months of the project?
(F) 3 (G) 5 (H) 7 (J) 10 (K) 15
Correct Answer: G
A recent survey of book critics asked 30 critics how many stars out of a possible 5 they gave to a recent novel from a popular author. The 30 critics' responses are summarized by the histogram below.
The group that took the survey wants to show the data in a circle graph (pie chart). What should be the measure of the central angle of the portion for one-star reviews?
(F) 15°(G) 24°(H) 30°(J) 48°(K) 60°
Correct Answer: J
A right triangle has sides measuring 12 inches, 35 inches, and 37 inches. What is the cosine of the angle that lies opposite the 35-inch side?
(F) 
(G) 
(H) 
(J) 
(K) 
Correct Answer: J
More ACT Math Exam Questions
- 1
If f(x) = x2+ 9 and g(x) = 24 + 4x,what is the value of
? - 2
The employees at Belinda's Paint Store are having a competition to see who can create the most new accounts over a period from January to June in a certain year. Data is missing because one of the employees began to erase it from the white board, thinking that the competition was over. The numbers in the chart below have been confirmed with the assistant manager's personal records.
At the beginning of the year, Maura wanted to average 30 new accounts per month for the first four months of the year. How many new accounts did she need to create in March in order to reach this goal?
- 3
A heart-shaped ornament is made from a square and two semicircles, each of whose diameter is a side of the square. The ornament is shown in the standard (x,y) coordinate plane below, where 1 coordinate unit represents 1 inch. The coordinates of six points on the border of the ornament are given. What is the perimeter, in inches, of the ornament?
- 4
In a Spanish class there are m students, of which n did NOT pass the last exam. Which of the following is a general expression for the fraction of the class that did receive a passing grade?
- 5Annette took 10 minutes to walk around a rectangular field. The length of the field is 4 times its width. How long would it take Annette to walk the width of the field?