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ACT American College Testing: Math Section Sample Questions:

1. If x 2 + 16x = 161, and x > 0, what is the value of x?

A) 7
B) 3
C) 15
D) 11

2. The fluctuation of water depth at a pier is shown in the figure below.

One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in this graph.
Which value is it?

A) 12
B) 19
C) 3
D) 9
E) 6

3. If the expression

, then one possible value of x could be:

A) - 2
B) 1
C) - 1
D) 2
E) - 5

4. At the school carnival, Mike will play a game in which he will toss a penny, a nickel, and a dime at the same time. He will be awarded 3 points for each coin that lands with heads faceup. Let the random variable x represent the total number of points awarded on any toss of the coins.
What is the expected value of x?

A) 1
B) 3/2
C) 9
D) 9/2
E) 6

5. If x × y = 156, x + y = 43, and x < y, what is the value of x - y?

A) 0
B) -35
C) 35
D) -24

Solutions: