Pre-Algebra
What is the slope of a line that is perpendicular to the line
4x-2y=12
-1/2
Given 4x - 9 = 6x - 15 is true x= ?
3
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
Which of the following is equal to the expression below?
(2𝑥+2𝑦)(2𝑥−𝑦)
4x2-2y2
The 1st term in the geometric sequence below is -9. if it can be determined, what is the 6th term?
-9, 18, -36, 72, -144, ...
288
A ramp rises 6 inches for each 24 inches of horizontal run. This ramp rises how many inches for 62 inches of horizontal run?
15.5
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)
What is the value of x in the following system of equations?
2𝑥+5𝑦=11
4𝑥−2𝑦=−14
-2
How many minutes would it take a ship to travel 100 miles at a constant speed of 40 miles per hour?
150
If f(x) = 5x-2 and g(x) = x2 +3x, then what is the value of g(f(-3))?
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?
13cm
How many minutes do you get to complete the math section of the ACT?
60 mins
What is the Quadradic 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
For what value of x, if any, is the equation (x-1)2=(x-7)2 true?
4
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?
12
A right triangle has a leg that is 4in long and the hypotenuse is 5in long. What is the area of the triangle?
6
Can you name one of the four general notes, given at the beginning of the math section of the ACT Test?
1. Illustrative figures are NOT necessarily drawn to scale. 2. Geometric figures lie in a plane. 3. The word line indicates a straight line. 4. The word average indicates arithmetic mean
What is the Midpoint Formula?
M=((x2+x1)/2),((y2+y1)/2)
What is the median of these numbers? 2, 27, 28, 19, 67, 44, 35
28
What is the largest possible product of 2 even integers whose sum is 22?
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?
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 Trapezoid?
A=(1/2)h(b1+b2)