ACT Math Practice Test

Front

What is the standard equation of a circle with center (h, k) and radius r?

Back

The standard equation of a circle is given by: (x - h)² + (y - k)² = r².

Front

How do you calculate the cost of multiple items with a fixed price for the first item and a different price for additional items?

Back

If the first item costs P and each additional item costs C, the total cost for y items is: Total Cost = P + C(y - 1).

Front

What is the value of i in complex numbers?

Back

In complex numbers, i is defined as the square root of -1, i.e., i = √(-1).

Front

How do you calculate permutations when selecting r items from n distinct items?

Back

The number of permutations of r items from n distinct items is given by: P(n, r) = n! / (n - r)!.

Front

What is the formula for the power of a fraction raised to a negative exponent?

Back

For a fraction a/b raised to a negative exponent -n, the formula is: (a/b)^{-n} = (b/a)^{n}.

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter of a circle is twice the radius. Therefore, Diameter = 2 * Radius.

Front

How do you simplify expressions involving imaginary numbers?

Back

To simplify expressions with imaginary numbers, use the fact that i² = -1 and combine like terms.

Front

What is the formula for the area of a circle?

Back

The area A of a circle is given by the formula: A = πr², where r is the radius.

Front

How do you find the total cost of y books if the first book costs $P and each additional book costs $C?

Back

Total Cost = P + C(y - 1). For example, if P = 15 and C = 12, Total Cost = 15 + 12(y - 1).

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by: V = πr²h, where r is the radius and h is the height.