ACT Math Practice

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height

Front

Calculate the area of a triangle with a base of 10 in and a height of 5 in.

Back

Area = 1/2 * 10 * 5 = 25 in²

Front

What is the formula for the area of a parallelogram?

Back

Area = base * height

Front

If a triangle has sides of lengths 13 in, 9 in, and 16 in, how can you find its area?

Back

Use Heron's formula: Area = √[s(s-a)(s-b)(s-c)], where s = (a+b+c)/2.

Front

What is the value of x if PS || QR in quadrilateral PQRS?

Back

x = 110

Front

How do you calculate the value of an expression like 3x² – 2y when x = 3 and y = 5?

Back

Substitute x and y into the expression: 3(3)² - 2(5) = 27 - 10 = 17.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they never intersect and are always the same distance apart.

Front

What is the difference between the expressions 3x² – 2y and 2x² – 3y when x = 3 and y = 5?

Back

The difference is 14.

Front

What is the formula for the area of a rectangle?

Back

Area = length * width

Front

If the length of a rectangle is 12 in and the width is 6 in, what is its area?

Back

Area = 12 * 6 = 72 in².