What is the value of yx + (2x - 2y) when x = 2 and y = -3?
(A) -10
(B) 1
(C) 7
(D) 16
(E) 19
Admission to the martial arts tournament is $30, but participants must purchase separate tickets for each event they wish to participate in once inside. Each event is the same price as any other event. The graph below shows the total cost for a person, for admission and events, as a function of the number of events paid for. One of the following is the price of a single event. Which one is it?
0 | $30 |
1 | $42 |
2 | $54 |
3 | $66 |
4 | $78 |
5 | $90 |
(F) $11 (G) $12 (H) $13 (J) $14 (K) $15
Correct Answer: G
If , what is the value of cos a?
(F) (G) (H) (J) (K)
Correct Answer: H
If m, located at (-1, 2), is the midpoint of , and the coordinates of a are (2, 9), what are the coordinates of b?
(A)(-5, 16) (B) (-4, -5) (C) (0.5, 5.5) (D) (4, -5) (E) (5, 16)
Correct Answer: B
More ACT Math Exam Questions
- 1
The triangle shown below has a hypotenuse with a length of 13 feet. The measure of A is 20° and the measure of B is 70°. Which of the following is closest to the length, in feet, of ?
(Note: sin 70° ≈ 0.9397
cos 70° ≈ 0.3420
tan 70° ≈ 2.747) - 2Two contractors bid on a job to build a brick wall in a yard. Contractor A charges a flat fee of $1,600 plus $2 per brick. Contractor B charges a flat fee of $400 plus $8 per brick. If x represents the number of bricks in the wall, which of the following equations could be solved to determine the number of bricks which would make B's charge to build the wall equal to A's charge?
- 3For all positive a, b, and
- 4
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?
- 5
In the following figure, the two triangles are similar. The lengths of their sides are shown. What is the value of yin terms of x?