ACT MATH

Front

What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o’clock?

Back

30°

Front

When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y?

Back

14

Front

What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3?

Back

\frac{3}{8}

Front

The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?

Back

l = 2w - 3

Front

How many irrational numbers are there between 1 and 6?

Back

infinitely many

Front

What is the formula for the area of a triangle?

Back

Area = \frac{1}{2} \times base \times height

Front

What is the Pythagorean theorem?

Back

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

Front

What is the formula for the slope of a line?

Back

Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}.

Front

What is the quadratic formula?

Back

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.

Front

What is the definition of a rational number?

Back

A rational number is any number that can be expressed as \frac{p}{q}, where p and q are integers and q ≠ 0.