PA S1 Final Review #2

Front

What is relative frequency?

Back

Relative frequency is the ratio of the number of times an event occurs to the total number of trials or observations. It is often expressed as a decimal or percentage.

Front

How do you find the area of a square?

Back

The area of a square is found by squaring the length of one of its sides. Formula: Area = side × side.

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions if every value of the variable satisfies the equation, indicating that the two sides of the equation are equivalent for all values.

Front

What is the formula for the volume of a sphere?

Back

The volume of a sphere is given by the formula: V = (4/3)πr³, where r is the radius of the sphere.

Front

What is 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 = c.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) to maintain equality.

Front

What is the significance of the slope in a linear equation?

Back

The slope of a linear equation represents the rate of change of the dependent variable with respect to the independent variable. It indicates the steepness and direction of the line.

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 and has a non-repeating, non-terminating decimal expansion.

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). Formula: a² + b² = c².

Front

How do you calculate the circumference of a circle?

Back

The circumference of a circle is calculated using the formula: C = 2πr, where r is the radius of the circle.