ACT Math Test

Front

The length, in inches, of a box is 3 inches less than twice its width, w. What is the formula for length, l, in terms of width?

Back

l = 2w - 3

Front

Evaluate the expression (y-x)³ when x = 5 and y = 1.

Back

-64

Front

What type of number is 5/8?

Back

Rational

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h

Front

Calculate the volume of a cone with height 8 cm and radius 3 cm using the formula V = (1/3)πr²h.

Back

24π

Front

What is the product of the matrices: [[1, 2], [3, 4]] and [[5, 6], [7, 8]]?

Back

[[19, 22], [43, 50]]

Front

Define a rational number.

Back

A number that can be expressed as the quotient of two integers.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions; irrational numbers cannot.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1).