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ACT American College Testing: Math Section Sample Questions:

1. The equation |2x - 8| + 3 = 5 has 2 solutions.
Those solutions are equal to the solutions to which of the following pairs of equations?

A) 2x - 8 = 2 - (2x - 8) = 8
B) 2x - 8 = 2 - (2x - 8) = 2
C) 2x - 8 = 2 -2x - 8 = 2
D) 2x - 5 = 5 -2x - 5 = -5
E) 2x - 8 = 8 - (2x - 8) = 8

2. The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420.
What is the sum of the 4 scores that are NOT the median?

A) 350
B) 360
C) 336
D) 320
E) 315

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

4. Drag and drop

is equivalent to:

A)

B)

C)

D)

E)

5. The Smith family is planning to build a 3-room cabin which consists of 2 bedrooms (BR) and 1 living room (LR). Shown below are the rectangular floor plan (left figure) and a side view of the cabin (right figure). In the side view, the roof forms an isosceles triangle ( ΔABC ), the walls are perpendicular to the level floor (

),

, F is the midpoint of

, and

.

During the week the Smiths plan to roof the cabin, there is 20% chance of rain each day.
Mrs. Smith will install a ceiling fan in each room of the cabin and will place curtains over the 4 windows. Each of the ceiling fans has a price of $52.00. The price of curtains for each small window (S) is $39.50, and the price of curtains for the large window (L) is twice that for the small window.
Based on this information, which of the following values is closest to the total price Mrs. Smith will pay for curtains and ceiling fans?

A) $354
B) $262
C) $393
D) $341
E) $302

Solutions: