ACT
For the function f(x) = 2x - 2, what is the value of f(x-6)?
2x-14
Which of the following ordered pairs is a point on the function f(x) = 3x - 1?
(0, 2) (3, 1) (3, -1) (5, 14) (-1, 3)
(5, 14)
In the equation y = mx + b, if m > 0, what kind of line does that make?
A straight line with a ____________ slope.
Positive
For the function f(x) = -x2 +2x - 5, what is the value of f(-2)?
-13
What kind of slope does a straight horizontal line have?
0
What value of x makes the equation true?
2x + 12 = -2
-7
If a, b, and c are positive numbers and ab = 10, bc = 2, and ac = 5, what is the value of abc?
10
Given that n is a real number and n does not equal 1, what is the value of (n - 5)/(5 - n)?
-1
What is the value of the exponent on 10 when (5 x 106)/(1.6 x 102) is written in scientific notation?
4
If there are 10 questions on the test, what is the possible combination those questions can be ordered without repeating?
3,628,800
The graph of the equation y = 2x+6 is plotted in the standard (x, y) coordinate plane. What transformation happened to now have the graph y = 2x + 10?
Translated up 4 units
If 8 runners are running a race, what is the possible combinations of the runners coming in 1st, 2nd and 3rd?
336
The original price of an item, x dollars, is discounted 25%. A coupon of $5.00 off is applied to the discounted price. What is the final price of the item?
A. 0.25x-5.00
B. 0.25x+5.00
C. 0.75x - 5.00
D. 0.75x + 5.00
E. -0.75x + 5.00
C
The probability of Event A occuring is 2/5 and the probability of Event B occuring is 1/10. The probability of Event A OR Event B occuring is...
A. 3/15
B. 1/2
C. 5/20
D. 3/10
E. 0
B
The coordinates of Point S are (3, -2) and the coordinates of Point T are (-1, -5). What is the length of segment ST?
5
Karen has 8 shirts and 2 pairs of pants. Each shirt can be worn with each pair of pants. She has to choose 1 shirt and 1 pair of pants. How many different combinations of 1 shirt and 1 pair of pants does Jennifer have to choose from?
16
What volume, in cubic inches, is equivalent to 10 cubic feet?
17,280
Mechanic A charges $50 per hour to work on a car. Mechanic B charges an $80 service fee plus $25 per hour. If work on a car is estimated to take 5 hours, how much less, if any, would it cost to use Mechanic B?
A. $45
B. $20
C. $205
D. The cost is the same
A
A number x is chosen at random from (4, 5, 6). A second number y will be chosen from the remaining numbers so that x is not equal to y. What is the probability that the number xy will be a multiple of 5?
A. 3/5
B. 1/2
C. 1/3
D. 1/5
C
A bag contains 4 red marbles, 3 blue marbles, 6 yellow marbles, and 8 green marbles. What is the probability you select a red marble and a green marble without replacing the first marble?
8/105
Wild about Pets recommends no more than 1 fish per gallon of water in an aquarium. Karen has an aquarium shaped like a right rectangular prism. The sides measure 20 in wide, 8 in long, and 16 in tall. The aquarium is filled with water to a depth of 14 inches. What is the maximum number of fish recommended by Wild about Pets for Karen's aquarium? (NOTE: A gallon of water is about 231 cubic inches).
9
A bag contains 53 solid colored marbles. Each marble is red, white or blue. There are 13 white marbles and three times as many red as blue marbles. What is the total number of red marbles in the bag?
30
What is the probability of obtaining tails 3 times in a row, when tossing a coin?
1/8
A toy store paid $200 for the license to sell Buzz the Hornet stuffed animals. In addition, each stuffed animal costs the store $4. The store sells each stuffed animal for $6. In order to make a profit, what is the minimum number of Hornets the store must sell?
101
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