8th Grade Math Review Flashcard #1

Front

What is a real number?

Back

A real number is any number that can be found on the number line, including both rational and irrational numbers.

Front

What is the formula for the Pythagorean theorem?

Back

a² + b² = c², where a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse.

Front

How do you calculate the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction, and its decimal representation goes on forever without repeating.

Front

What is the value of √2?

Back

Approximately 1.414, it is an example of an irrational number.

Front

What is the sum of two positive numbers?

Back

The sum of two positive numbers is always positive.

Front

What is the sum of a positive number and a negative number?

Back

The sum can be positive, negative, or zero, depending on the values of the numbers.

Front

What is the definition of zero?

Back

Zero is the integer that represents a null quantity, and it is neither positive nor negative.

Front

What does it mean for a slope to be undefined?

Back

An undefined slope occurs in a vertical line where the change in x is zero, leading to division by zero.