ACT-Math 無料問題集「ACT American College Testing: Math Section」

In parallelogram ABCD below,

is a diagonal, the measure of

is 40°, and the
measure of

is
57°.

What is the measure of

?

FILL BLANK
If 2a 2 + b = 10 and - (b/4 + 3a) = 11, what is the positive value of a?
正解:
3
A car averages 30 miles per gallon. If gas costs $2.20 per gallon, which of the following is closest to how much the gas would cost for this car to travel 3,250 miles?

What is the equation of the line that passes through the points (2, 3) and (-2, 5)?

The length of a rectangle is 5 inches longer than the width. The perimeter of the rectangle is 40 inches.
What is the width of the rectangle, in inches?

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 dormitory now houses 30 men and allows 42 square feet of space per man.
If five more men are put into this dormitory, how much less space will each man have?

In triangle DEF, the length of

is
√30inches, and the length of

is 3inches. If it can
be determined, what is the length, in inches, of

?

If the expression

, then one possible value of x could be:

An empty crate weighs 8.16 kg and an orange weighs 220 g.
If Jon can lift 11,000 g, how many oranges can he pack in the crate before lifting it onto his truck?

There are seven vocalists, four guitarists, four drummers, and two bassists in Glen Oak's music program, while there are five vocalists, eight guitarists, two drummers, and three bassists in Belmont's music program.
If a band comprises one vocalist, one guitarist, one drummer, and one bassist, how many more bands can be formed in Belmont?

In Cherokee County, the fine for speeding is $17 for each mile per hour the driver is traveling over the posted speed limit. In Cherokee County, Kirk was fined $221 for speeding on a road with a posted speed limit of 30 mph.
Kirk was fined for traveling at what speed, in miles per hour?

One of the following graphs in the standard ( x , y ) coordinate plane is the graph of y = sin 2 x + cos 2 x over the domain -π/2 ≤ x ≤ π/2.
Which one?
A)

B)

C)

D)

E)

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