General
Marcus’s favorite casserole recipe requires 3 eggs and makes 6 servings. Marcus will modify the recipe by using 5 eggs and increasing all other ingredients in the recipe proportionally. What is the total number of servings the modified recipe will make?
A. 6 B. 8 C. 10 D. 12 E. 15
C. 10
For what value of x is the equation 2^(2x + 7) = 2^15 true?
A. 2 B. 4 C. 11 D. 16 E. 44
B. 4
Let the function f be defined as f(x) = 5x^2 − 7(4x + 3).
What is the value of f(3)?
F. −18 G. −26 H. −33 J. −60 K. −75
J. −60
In Cherokee County, the fine for speeding is $17 for each mile per hour the driver is traveling over the posted speed limit. In Cherokee County, Kirk was fined $221 for speeding on a road with a posted speed limit of 30 mph. Kirk was fined for traveling at what speed, in miles per hour?
F. 13 G. 17 H. 43 J. 47 K. 60
H. 43
How many questions are in the Math section of the ACT?
60 questions.
The 35-member History Club is meeting to choose a student government representative. The members decide that the representative, who will be chosen at random, CANNOT be any of the 3 officers of the club. What is the probability that Hiroko, who is a member of the club but NOT an officer, will be chosen?
F. 0 G. 1/35 H. 1/2 J. 3/35 K. 1/32
K. 1/32
The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a $35 monthly fee, plus $3 per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal?
F. 1 G. 4 H. 5 J. 6 K. 75
H. 5
What is the slope of the line through (−2,1) and (2,−5) in the standard (x,y) coordinate plane?
A. 3/2 B. 1 C. -1 D. -3/2 E. -4
D. -3/2
The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420. What is the sum of the 4 scores that are NOT the median?
F. 315 G. 320 H. 336 J. 350 K. 360
H. 336
How much time do you get on the Math section of the ACT?
60 minutes.
A wallet containing 5 five-dollar bills, 7 ten-dollar bills, and 8 twenty-dollar bills is found and returned to its owner. The wallet’s owner will reward the finder with 1 bill drawn randomly from the wallet. What is the probability that the bill drawn will be a twenty- dollar bill?
A. 1/20 B. 4/51 C. 1/8 D. 2/5 E. 2/3
D. 2/5
In the standard (x,y) coordinate plane, what is the slope of the line given by the equation 4x=7y+5?
A. -4/7 B. 4/7 C. 7/4 D. 4 E. 7
B. 4/7
The graph of y = ⎪x − 6⎪ is in the standard (x,y) coordinate plane. Which of the following transformations, when applied to the graph of y =⎪x⎪, results in the graph of y =⎪x−6⎪?
F. Translation to the right 6 coordinate units
G. Translation to the left 6 coordinate units
H. Translation up 6 coordinate units
J. Translation down 6 coordinate units
K. Reflection across the line x = 6
F. Translation to the right 6 coordinate units
What is the value of the expression below? ⎪⎪−8 + 4⎪ − ⎪3 − 9⎪⎪
A. −18 B. −2 C. 0 D. 2 E. 18
D. 2
What is the formula for the volume of a rectangular solid?
V = lwh
When x = 1/2, what is the value of 8x-3/x ?
F. 1/2 G. 2 H. 5/2 J. 5 K. 10
G. 2
Which of the following is a factor in x^3 - 64?
A. x-4 B. x+4 C. x + 64 D. x-16 E. x+16
A. x-4
The 3rd and 4th terms of an arithmetic sequence are 13 and 18, respectively. What is the 50th term of the sequence?
A. 248 B. 250 C. 253 D. 258 E. 263
A. 248
For which of the following conditions will the sum of integers m and n always be an odd integer?
F. m is an odd integer. G. n is an odd integer.
H. m and n are both odd integers.
J. m and n are both even integers.
K. m is an odd integer and n is an even integer.
K. m is an odd integer and n is an even integer.
What does the "S" in SOH-CAH-TOA stand for?
Sine
What is the sum of the solutions of the 2 equations?
8x = 12
2y + 10 = 22
A. 2.4 B. 7.5 C. 9 D. 10 E. 17.5
B. 7.5
The sum of 2 positive numbers is 151. The lesser number is 19 more than the square root of the greater number. What is the value of the greater number minus the lesser number?
F. 19 G. 66 H. 85 J. 91 K. 121
J. 91
The average of a list of 4 numbers is 90.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 80, and the fourth number in the new list is 96. What is the average of this new list of numbers?
F. 90.0 G. 91.5 H. 94.0 J. 94.5 K. 94.8
H. 94.0
Laura plans to paint the 8-foot-high rectangular walls of her room, and before she buys paint she needs to know the area of the wall surface to be painted. Two walls are 10 feet wide, and the other 2 walls are 15 feet wide. The combined area of the 1 window and the 1 door in her room is 60 square feet. What is the area, in square feet, of the wall surface Laura plans to paint?
A. 200 B. 340 C. 360 D. 390 E. 400
B. 340
How many degrees are found in two triangles and square?
720 degrees.