ACT Math Practice Test 22

What is the area, in square inches, of a circle with a diameter equal to 12 inches?

If, a, b, and c are positive integers such that ab = m and c²b = n, then mn = ?

In Sulema’s geography class, all tests count equally. So far, Sulema has taken 2 of the 3 tests in geography this marking period and earned scores of 88% and 79%, respectively. What is the minimum score Sulema needs on the third test to have a test average of 87%?

What are all the solutions for x if 3x² − 2x − 21 = 0?

The length of a rectangle is 5 inches longer than its width. If the perimeter of the rectangle is 38 inches, what is the width, in inches?

While doing research on the climates of South American countries, Andrea notices that all of the temperatures are given in degrees Celsius. Because she is not as familiar with the Celsius temperature scale, it is difficult for her to know whether a location with an average temperature of 25°C has a warm climate. Fahrenheit, F, and Celsius, C, are related by the formula F =(⁹⁄₅)C+32. What is the temperature in degrees Fahrenheit of the location with an average temperature of 25°C?

In the equation r = $\frac{4}{(2 + k)}$ , k represents a positive integer. As k gets larger without bound, the value of r:

Which of the following is a polynomial factor of x² − 2x − 24?

The length of a side of a square is represented as (3x − 2) inches. Which of the following general expressions represents the area of the square, in square inches?

What is the slope of the line given by the equation 3x + 4y = −12 ?

Maria posted a time of 37 minutes and 29 seconds for a 5-mile running course. About how many miles per hour did she average during the run?

In the standard (x,y) coordinate plane, what are the coordinates of the midpoint of a line segment with endpoints (−1,3) and (2,5)?

ΔABC is similar to ΔXYZ. AB is 5 inches long, BC is 8 inches long, and AC is 3 inches long. If the longest side of ΔXYZ is 20 inches long, what is the perimeter, in inches, of ΔXYZ?

$\sqrt{27}+\sqrt{48}$ = ?

If x is any number other than 3 and 6, then $\frac{(x − 3)(x − 6)}{(3 − x)(x − 6)}$ ?

If sin A = ³⁄₅, then which of the following could be tan A?

In Mrs. Hartley’s foreign language class, students must take both a written exam and an oral exam. In the past, 85% of her students passed the written exam and 70% of those who passed the written exam also passed the oral exam. Based on these figures, about how many students in a random group of 100 students would you expect to pass both exams?