ACT Math Test

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Front

Calculate the volume of a cone with height 8 cm and radius 3 cm.

Back

V = (1/3)π(3)²(8) = 24π cubic centimeters.

Front

What is matrix multiplication?

Back

Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix.

Front

Find the product of the matrices: [[1, 2], [3, 4]] and [[5, 6], [7, 8]].

Back

The product is [[19, 22], [43, 50]].

Front

How do you find the acute angle between the hands of a clock?

Back

Calculate the angle using the formula: |(30*hour - (11/2)*minutes)|.

Front

What is the degree measure of the angle formed by the hands of a clock at 1 o’clock?

Back

30 degrees.

Front

What is slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Convert the equation 3y + 2x = 24 to slope-intercept form.

Back

y = -⅔x + 8.

Front

How do you solve for x in a linear equation?

Back

Isolate x on one side of the equation.

Front

Solve for x: 2x + 3 = 3x - 4.

Back

x = 7.