ACT Math Practice Test 30

Two professors were hired to begin work at the same time. Professor A’s contract called for a starting salary of $50,000 with an increase of $1,500 after each year of employment. Professor B’s contract called for a starting salary of $42,000 with an increase of $2,800 after each year of employment. If y represents the number of full years of employment (that is, the number of yearly increases each professor has received), which of the following equations could be solved to determine the number of years until B’s yearly salary equals A’s yearly salary?

If x = −3 and y = 2, then x³y + xy³ =?

|14|×|− 2| =?

If 5x + 5 = 25 + 3x, then x =?

What is 1/5 of 16% of $24,000?

Let a function of 2 variables be defined by f (a, b) = ab − (a − b). What is the value of f (8,9)?

Which of the following expressions is equivalent to (3x + 4)(x − 5)?

One pound is equivalent to 16 ounces. If a book weighs 1.5 pounds, how many ounces, to the nearest tenth, does the book weigh?

In the standard (x,y) coordinate plane, what is the slope of the line with equation 4y − 6x = 8?

The lengths of the sides of a triangle are 3 consecutive even integers. If the perimeter of the triangle is 48 inches, what is the length, in inches, of the longest side?

Marcia’s horse’s rectangular corral is 50 feet wide by 125 feet long. Marcia wants to increase the area by 1,850 square feet by increasing the width and length by the same amount. What will be the new dimensions (width by length), in feet?

In the standard (x,y) coordinate plane, how many times does the graph of (x + 1)(x − 2)(x + 3)(x + 4) intersect the x-axis?

A car leaves a parking lot and travels directly north for 6 miles. It then turns and travels 8 miles east. How many miles is the car from the parking lot?

Jenny ran 3¹⁄₃ miles on Saturday and 2⁴⁄₅ miles on Sunday. The total distance, in miles, Jenny ran during those 2 days is within which of the following ranges?

If (x + r) 2 = x² + 22x + r² for all real numbers x, then r =?

A rope 55 feet long is cut into two pieces. If one piece is 23 feet longer than the other, what is the length, in feet, of the shorter piece?

Two whole numbers have a greatest common factor of 8 and a least common multiple of 48. Which of the following pairs of whole numbers will satisfy the given conditions?

If W = XYZ, then which of the following is an expression for Z in terms of W, X, and Y?