ACT Math Practice Test 10

If $\frac{n^{x}}{n^{y}}$ = n² for all n ≠ 0, which of the following must be true?

A triangle has sides of length 4.7 meters and 9 meters. Which of the following CANNOT be the length of the third side, in meters?

In the standard (x, y) coordinate plane, what is the length of the line segment that has endpoints (−3,4) and (5,−6)?

What is the center of the circle with equation (x −3)² + (y + 3)² = 4 in the standard (x, y) coordinate plane?

Which of the following is the solution set of x+2>−4?

In the standard (x, y) coordinate plane, what is the slope of the line joining the points (3,7) and (4,−8)?

A rectangular parking lot that is 3 feet longer than it is wide has an area of 550 square feet. How many feet long is the parking lot?

For a certain quadratic equation, ax² + bx + c = 0, the 2 solutions are x = ³⁄₄ and x = −²⁄₅. Which of the following could be factors of ax² + bx + c?

A square pool with an area of 81 square feet is to be placed entirely within a circular enclosure with a radius of 10 feet. Tiles will be laid within the entire enclosure around the pool (but not under it). What is the approximate area, in square feet, of the enclosure that will be tiled?

If 0◦ ≤ x ≤ 90◦ and tan x = ¹⁵⁄₈ , then cos x = ?

What value of x will satisfy the equation 0.2(x − 2,700) = x?

The bowling league selects its 4 officers by first selecting the president, then the vice president, then the secretary, then the treasurer. If there are 40 bowlers who are eligible to hold office and no member can hold more than one office, which of the following gives the number of different possible results of the election?

In order to clean her aquarium, Stephanie must remove half of the water. The aquarium measures 30 inches long, 16 inches wide, and 12 inches deep. The aquarium is currently completely full. What volume of water, in cubic inches, must Stephanie remove?

One route along flat terrain from Hermansville to Melville is to drive straight north from Hermansville for 120 miles to Jamestown, then, at Jamestown, to drive straight west for 80 miles to Melville. If a straight, flat road existed between Hermansville and Melville, approximately how many miles long would it be?

(¹⁄₂)² + (¹⁄₃)² + (¹⁄₄)² = ?

There are 16 ounces in one pound. If 3.4 pounds of beef cost $4.95, what is the cost per ounce, to the nearest cent?

In the standard (x, y) coordinate plane, what is the y-intercept of the line given by the equation 3x + 5y = 8?