Algebra
Find the value of x:
3x + 4 = 13
x = 3
How many degrees in a triangle?
180 degrees
Find the mode:
2, 38, 7, 45, 38, 12
38
Point slope formula
y = mx + b
If you have 10 balls: 5 blue, 3 green, and 2 yellow, what is the probability of randomly selecting a yellow ball?
A. 1/10 B. 3/5 C. 1/5 D. 8/10
C. 1/5
What value of x makes the equation true?
-x + 6 = 3x - 10
A. -4 B. -2 C. -1 D. 1 E. 4
What is the perimeter of a square with any side length 12?
48
Holly took 5 tests and earned the following scores: 71, 76, 81, 84, and 95. What overall test score did Holly earn?
F. 81.0 G. 81.4 H. 83.0 J. 84.0 K. 85.5
J. 84.0
Area of a circle
A = πr2
Max tested a coin to see whether it was fair. The table shows the results of his coin toss experiment:
Heads Tails
26 41
What is the frequency of the coin landing on heads?
A. 1/2 B. 26/41 C. 26/67 D. 26/100
C. 26/67
Quinn bought a tractor. He made an initial payment of $900. He then made 36 equal monthly payments. Quinn paid a total amount of $9,000 for the tractor. What was the amount of each of his monthly payments?
F. $25 G. $225 H. $250 J. $275 K. $360
G. $225
The length of Rectangle A is equal to the length of Rectangle B. The width of Rectangle A is 6 meters less than the width of Rectangle B. If it can be determined, how many meters less is the perimeter of Rectangle A than the perimeter of Rectangle B?
A. 6 B. 12 C. 24 D. 36 E. Cannot be determined from given information
B. 12
There were 425 students in the 10th grade this year. Of these students, 3/5 were enrolled in geometry. Of the students enrolled in geometry, 1/5 earned an A. How many students enrolled in geometry earned an A?
F. 51 G. 85 H. 136 J. 170 K. 340
F. 51
Midpoint formula
xm,ym = (x1+x2)/2 , (y1+y2)/2
One dice has 6 faces, numbered 1-6. The other has 8 faces, numbered 1-8. What is the probability that, when the 2 dice are rolled, the sum of the faceup numbers will be 12?
F. 1/48 G. 2/12 H. 3/48 J. 5/12 K. 9/48
H. 3/48
Which of the following (x, y) pairs is the solution for the system of equations x + 2y = 8 and -2x + y = 14 ?
A. (-4,6) B. (1-1, 4.5) C. (1,3.5) D. (6,1) E. (8,0)
15. A
(3,4,5) (6,8,10) (5,12,13) (9,12,15) (8,15,17) (12,15,20) (15,20,25) (7,24,25) (10,24,26) (20,21,29) (18,24,30) (16,30,34) (21,28,35)
For a normally distributed data set, the mean is 100 and the standard deviation is 20. Given that 68% of the data are within 1 standard deviation of the mean, 68% of the data are within which of the following intervals?
F. (0, 68) G. (67, 167) H. (80, 100) J. (80, 120) K. (100,120)
J. (80, 120)
Sin, Cos, Tan
Sin = opposite/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent
Captain Gabriela has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Daniel and his merciless band of thieves.
The Captain has probability 1/2 of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability 1/5
If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?
1/10
The values of which of these functions will exceed the values of all other listed functions as x approaches infinity?
f(x) = abx
g(x) = ax + b
h(x) - ax2 + bx +c
h(x) = ax3 + bx2 + cx + d
F. f(x)
1st day of class, Julia types 35 words per minute
49th day of class, Julia types 40 words per minute
99th day of class, Julia types 55 words per minute
To the nearest 1%, what is the percent increase in Julia's typing speed from the 1st day of class to the 99th day of class?
A. 14% B. 20% C. 36% D. 57% E. 64%
D. 57%
Quadratic Formula
x = -b +/- [sq rt b2 - (4ac)]/ 2a
If you work hard, study for the ACT, and believe you can do well, what is the probability that you will score well?
100% !!!