A magician performing at children's birthday parties charges $120.00 total for a one-hour performance with ten goodie bags for children at the party. She will provide additional goodie bags for $2.50 each. For an additional $25.00, she will also present a 15-minute laser light show. The magician is always paid on the day of the show, receives no tips or other additional payments, and never varies the length of the show. If the magician performs exactly four shows one weekend, presents the light show at three of those performances, and collects $635.00 total, how many additional goodie bags did she provide?
(A) 26
(B) 32
(C) 48
(D) 86
(E) 254
The expression (5x + 2)(x-- 3) is equivalent to:
（A）5x2 + 13x - 6 （B） 5x2 - 13x - 6 （C） 5x2 - 4x + 5 （D） 5x2 - 6 （E） 5x2 - 5
Correct Answer: B
In a complex plane, the vertical axis is the imaginary axis and the horizontal axis is the real axis. Within the complex plane, a complex number a + bi is comparable to the point (a, b) in the standard (x, y) coordinate plane. 
is the modulus of the complex point a + bi. Which of the complex numbers F, G, H, J, and K below has the smallest modulus?
（A）F （B） G （C） H （D） J （E） K
Correct Answer: B
In the following figure, what is the length of 
?
(A) 24(B) 25(C) 26(D) 27(E) 28
Correct Answer: C
More ACT Math Exam Questions
- 1
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 - 2For which of the following values of a will there be exactly one real solution to the equation 2x2 - ax + 8 = 0?
- 3
The graph of y = f(x) is shown in the standard (x,y) coordinate plane below with points V, W, X, Y, and Z labeled.
The y-intercept of the graph of y = f(x) is located at which of the following points?
- 4
If
, with a > 0, b> 0, and c> 0, what is the value of ain terms of band c? - 5In the standard (x,y) coordinate system, circle O has its center at (4,-3) and a radius of 12 units. Which of the following is an equation of the circle?