ACT Math Practice Test 20

If ghjk = 24 and ghkl = 0, which of the following must DO YOUR FIGURING HERE. be true?

On Friday, a computer was priced at $800. On the following Wednesday, the price was reduced by 15%. On the following Friday, the price was further reduced by 20%. What percent of the original price was the final price?

If tan α = ^x⁄_y, x > 0, y > 0, and 0 < α < ^π⁄₂ , then what is cos α?

The ratio of x to z is 3 to 5, and the ratio of y to z is 1 to 5. What is the ratio of x to y?

What is the approximate distance between the points (4,−3) and (−6,5) in the standard (x, y) coordinate plane?

Which of the following inequalities defines the solution set for the inequality 23 − 6x ≥ 5?

$\left ( \frac{1}{3}a-b \right )^{2}$ ?

The diagonal of a rectangular garden is 15 feet, and one side is 9 feet. What is the perimeter of the garden?

What is the smallest possible value for the product of 2 real numbers that differ by 6?

In a game, 84 marbles numbered 00 through 83 are placed in a box. A player draws 1 marble at random from the box. Without replacing the first marble, the player draws a second marble at random. If both marbles drawn have the same tens digit (that is, both marbles are numbered between 00 and 09, or 10 and 19, or 20 and 29, etc.), the player is a winner. If the first marble Dave draws is numbered 23, what is the probability that Dave will be a winner on the next draw?

If f (x) = x² + 3, then f (x + y) = ?

Jason has been hired to build a circular wading pool in his neighbor’s backyard. The rectangular backyard measures 60 feet wide by 50 feet long. Jason’s neighbors want the pool to be as large as possible, with the edge of the pool at least 8 feet from the edge of the backyard all around. How long should the radius of the pool be, in feet?

For every cent increase in price of a pound of apples, the grocery store sells 25 fewer pounds per day. The grocery store normally sells 800 pounds of apples per day at $1.09 per pound. Which of the following expressions represents the number of pounds of apples sold per day if the cost is increased by 3x cents per pound of apples?

The area of a rectangular kitchen is 80 square feet. If the length of the floor is 4 feet less than four times the width, what is the width of the floor in feet?

The average of a set of six integers is 38. When a seventh number is included in the set, the average of the set increases to 47. What is the seventh number?

In the standard (x,y) coordinate plane, the y-intercept of the line 6x + 2y = 14 is?

If X, Y, and Z are real numbers, and XYZ = 1, then which of the following conditions must be true?