Final review part 2 (Fall 24-25)

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 and equations.

Front

Explain the concept of a function.

Back

A function is a relation between a set of inputs and a set of possible outputs, where each input is related to exactly one output.

Front

What is the Pythagorean theorem?

Back

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

Front

Define the term 'slope' in the context of a linear equation.

Back

The slope is a measure of the steepness of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

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 value that appears most frequently.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

Explain the concept of probability.

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 (impossible) and 1 (certain).

Front

What is the formula for the area of a circle?

Back

The area of a circle is calculated using the formula A = πr², where r is the radius of the circle.

Front

Define 'integers'.

Back

Integers are whole numbers that can be positive, negative, or zero, but do not include fractions or decimals.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.