Review Flashcard 17

Front

What is the definition of a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations.

Front

Explain the concept of a linear equation.

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = 0, where a and b are constants.

Front

What is the 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

Define the term 'function' in mathematics.

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x) where x is the input.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

Explain the concept of the area of a triangle.

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

What is the definition of a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

What is the difference between mean, median, and mode?

Back

Mean is the average of a set of numbers, median is the middle value when the numbers are arranged in order, and mode is the number that appears most frequently.