Pre-Algebra
A radio station offers free competitions. Normally, one in every twenty contestants wins the free competition. What is the probability of losing the free competition?
A. 1/20 B. 1/19 C. 19/20 D. 19/1 E. 20/19
C. 19/20
How many real solutions exist for the following equation: x^2 + 8 = 0
A. 0. B. 1. C. 2. D. 4. E. 8
A. 0
Consider the following matrices:
A = [[-1,4],[-2,2]] and B = [[-3,2],[-2,8]]
What is A + B?
[[-4,6],[-4,6]]
If a circle has a diameter of 12, what is the circumference of the circle?
12pi
A football field is 100 yards long and 30 yards wide. What is the area of the football field in square yards?
3000
How many questions are on the Math section of the ACT?
60 Questions
What is the equation for circle with center (h, k) and radius r?
(x-h)^2+(y-k)^2=r^2
What is the slope of a line that is perpendicular to the line
4𝑥−2𝑦=12?
-1/2
Which of the following equations is equal to √45?
A. 1 ÷ 45. B. 5√9. C. 9√5. D. 3√5 E. 5√3
D. 3√5
x and y are real numbers. ai and bi are imaginary numbers. When does ai + x = bi + y ?
A. When a = b
B. When x = y
C. When a = x and b = y
D. When a = y and b = x
E. When a = b and x = y
E. When a = b and x = y
Consider a cone with a height of 12 inches and a radius at its base of 3 inches. What is the volume of this cone?
36 pi
A box is manufactured to contain either laptop computers or notebook computers. When the computer systems are removed from the box, it is reused to hold other items. If the length of the box is 20cm, the width is 15cm, and the height is 25cm, what is the volume of the box?
7500 cm3
True / False:
It is best to answer ONLY the questions you know. DO NOT GUESS!
False, It is important to answer all of the questions in each section of the ACT exam. You are only award points for correct answer and no points are deducted for wrong answers.
What is the Distance Formula?
sqrt((x2-x1)^2+(y2-y1)^2)
A company purchases cell phones at a cost of x and sells the cell phones at four times the cost. What equation below represents the profit made on each cell phone?
A. x. B. 3x. C. 4x. D. 3 - x. E. 4 - x
B. 3x
An internet provider sells internet packages based on low monthly rates. The price for the internet service depends on the speed of the internet connection. The chart below indicates the prices of the various internet packages: Price in dollars (P) 10, 20, 30, and 40 Gigabyte speed (S) 2, 4, 6, and 8 Which equation represents the prices of these internet packages?
A. P = (S - 5) +5. B. P = (S + 5) x 5.
C. P = 5 ÷ S. D. P = S x 5. E. P = S ÷ 5
D. P = S x 5
If f(x) = 5x-2 and g(x) = x^2 +3x, then what is the value of g(f(-3))?
A. -340. B. -17. C. -2. D. 0. E. 238
E. 238
The slope of the line that goes through the points (−5, 4) and (3,−12) is?
-2
If one leg of a triangle is 5cm and the other leg is 12cm, what is the measurement of the hypotenuse of the triangle?
A. 5√12cm
B. 12√5cm
C. √17cm
D. 13cm
E. 17cm
D. 13cm
How many minutes do you get to complete the math section of the ACT?
A. As long as you need
B. 60 mins
C. 45 mins
D. 120 mins
B. 60 mins
What is the Quadratic Formula?
x=((-b+-sqrt(b^2-4ac))/(2a))
when ax2+bx+c=0
| √4 - 12 | =?
10
Write as a decimal. 0.12×10^-3
What is 0.00012
A company sells jeans and T-shirts. J represents jeans and T represents T-shirts in the equations below: 2J + T = $50 J + 2T = $40 Sarah buys one pair of jeans and one T-shirt. How much does she pay for her entire purchase?
F. $10. G. $20. H. $30. J. $70. K. $90
H. $30
If a circle with center (-6, 6) is tangent to the x axis in the standard (x, y) coordinate plane, what is the diameter of the circle?
A. -6. B. -12. C. 6. D. 12. E. 36
D. 12
A right triangle has a leg that is 4in long and the hypotenuse is 5in long. What is the area of the triangle?
F. 4. G. 5. H. 6. J. 12. K. 20
H. 6
Which pf the statements is FALSE
A. Figures are NOT drawn to scale.
B. The word line indicates a straight line.
C. The word average indicates mean
D. You should plan on spending about 5 minutes per problem.
D
What is the Midpoint Formula?
M=((x2+x1)/2),((y2+y1)/2)
In a shipment of 100 mp3 players, 1% are faulty. What is the ratio of non-faulty mp3 players to faulty mp3 players?
A. 1: 100. B. 99: 100. C. 1: 99
D. 99: 1. E. 1: 499
D. 99: 1
What is the largest possible product of 2 even integers whose sum is 22?
F. 11. G. 44. H. 100. J. 120. K. 144
J. 120
What is ½% of 90?
.45
Marta has just bought a new pair of tennis shoes. She wants to wear the new running shoes to run up and down a hill near her house. The measurements of the hill can be placed on a two-dimensional linear graph on which x = 5 and y = 165. If the line crosses the y axis at 15, what is the slope of this hill?
A. 10. B. 20. C. 30. D. 36. E. 75
C. 30
In an isosceles triangle, the vertex angle is 36°. What is the measure of one of its base angles?
72°
What is the perfect score on the Math Section of the ACT?
36
What is the formula in order to find the area of a Circle?
Area = pi * r^2