7th Grade ACAP Math

Front

What is the definition of distance on a number line?

Back

Distance is the absolute value of the difference between two points on a number line.

Front

How do you calculate 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, |5| = 5 and |-5| = 5.

Front

What does it mean for two angles to be complementary?

Back

Two angles are complementary if the sum of their measures is 90 degrees.

Front

If angle Y measures 75 degrees, what is the measure of angle X if they are complementary?

Back

Angle X measures 15 degrees because 90 - 75 = 15.

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the formula for the surface area of a rectangular prism?

Back

Surface Area = 2(length × width + length × height + width × height).

Front

How do you find the original price of an item after a discount?

Back

Let the original price be x. If a 30% discount is applied, the price paid is 70% of x: 0.7x = price paid.

Front

Back

Front

What is the definition of a negative number?

Back

A negative number is a number that is less than zero, represented with a minus sign (-).

Front

What is the definition of a positive number?

Back

A positive number is a number that is greater than zero, represented without a sign or with a plus sign (+).