ACT Math Practice Test 26

If a, b, and c are consecutive positive integers and 2^a × 2^b × 2^c = 512, then 2^a + 2^b + 2^c =?

If the function f satisfies the equation f (x + y) = f (x) + f (y) for every pair of real numbers x and y, what is (are) the possible value(s) of f (1)?

If the circumference of a circle is ⁴⁄₃π inches, how many inches long is its radius?

For all x > 4, $\frac{4x − x^{2}}{x^{2} − 2x − 8}$ ?

For what nonzero whole number k does the quadratic equation y²+2ky+4k = 0 have exactly one real solution
for y?

You have enough material to build a fence 120-feet long. If you use it all to enclose a square region, how many square feet will you enclose?

A circle in the standard (x, y) coordinate plane has center (−4,5) and radius 5 units. Which of the following equations represents this circle?

For any real number a, the equation |x − 2a| = 5. On a number line, how far apart are the 2 solutions for x?

A wheel 27 inches in diameter rolls along a line. How many inches does the wheel roll along the line in 32 revolutions?

Carol has an empty container and puts in 6 red chips. She now wants to put in enough white chips so that the probability of drawing a red chip at random from the container is ³⁄₈. How many white chips should she put in?

For all real integers, which of the following is always an even number?
I. x³ + 4
II. 2x + 4
III. 2x² + 4

The total weekly profit p, in dollars, from producing and selling x units of a certain product is given by the function p(x) = 225x−(165x+c), where c is a constant. If 75 units were produced and sold last week for a profit of $3,365, what is the value of c?

If x = 6a + 3 and y = 9 + a, which of the following expresses y in terms of x?

For which values of x will 3(x + 4) ≥ 9(4 + x)?

If 30% of x equals 60% of y, which of the following DO YOUR FIGURING HERE. expresses y in terms of x ?