10 for 10 ACT MATH

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |-6| = 6 and |7-41| = | -34 | = 34.

Front

How do you calculate the perimeter of a rectangle?

Back

The perimeter of a rectangle is calculated by the formula P = 2(length + width).

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated by the formula A = length × width.

Front

How do you find the midpoint of a line segment in a coordinate plane?

Back

The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the relationship between speed, distance, and time?

Back

The relationship is given by the formula: Distance = Speed × Time. To find time, use Time = Distance / Speed.

Front

What is a combination in mathematics?

Back

A combination is a selection of items from a larger set where the order does not matter. The number of combinations of n items taken r at a time is given by C(n, r) = n! / (r!(n-r)!).

Front

What is the value of |-6|-|7-41|?

Back

The value is -28.

Front

If a rectangle has a perimeter of 30 cm and is twice as long as it is wide, what is its area?

Back

The area of the rectangle is 50 square centimeters.

Front

How do you convert minutes to hours?

Back

To convert minutes to hours, divide the number of minutes by 60. For example, 12 minutes is 12/60 = 1/5 hours.

Front

What is the formula for calculating combinations?

Back

The formula for combinations is C(n, r) = n! / (r!(n-r)!), where n is the total number of items, and r is the number of items to choose.