ACT Math Practice Test 28

A formula used to compute the current value of an investment account is A = P(1 + r)ⁿ, where A is the current value, P is the amount deposited, r is the rate of interest for 1 compounding period, expressed as a decimal, and n is the number of compounding periods. Which of the following is closest to the value of an investment account after 3 years if $8,000 is deposited at 5% annual interest compounded annually?

Cube X has an edge length of 2 inches. Cube Y has an edge length triple that of Cube X. What is the volume, in cubic inches, of Cube Y?

What is the area of a circle that has a circumference of .5π?

Casey has buckets of 3 different sizes. The total capacity of 12 of the buckets is g gallons, the total capacity of 8 buckets of another size is g gallons, and the total capacity of 4 buckets of the third size is also g gallons. In terms of g when g>0, what is the capacity, in gallons, of each of the smallest-sized buckets?

If $\frac{4\sqrt{9}}{y\sqrt{11}}=\frac{4\sqrt{9}}{11}$ , then y =?

The fixed costs of printing a certain textbook are $900.00 per week. The variable costs are $1.50 per textbook. Which of the following expressions can be used to model the cost of printing t textbooks in 1 week?

What values of a are solutions for a² + 2a = 8?

For all x > 0, the expression $\frac{3x^{3}}{3x^{9}}$ equals:

If there are 6 × 10¹⁴ oxygen molecules in a volume of 3 × 10⁷ cubic meters, what is the average number of oxygen molecules per cubic meter?

Which of the following statements is NOT true about the arithmetic sequence 16, 11, 6, 1, …?

In the xy-coordinate system, (√5,s) is one of the points of intersection of the graphs y = 2x² + 6 and y = −4x² + m, where m is a constant. What is the value of m?

Which of the following is equivalent to the inequality 3x − 6 > 6x + 9?

(4x⁴)⁴ is equivalent to:

Given f (x) = 3x + 5 and g(x) = x² − x + 7, which of the following is an expression for f (g(x))?