CBA 3 Review 12/24

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

What is the purpose of solving an equation?

Back

The purpose of solving an equation is to find the value of the variable that makes the equation true.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that dictates the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the difference between a linear equation and a quadratic equation?

Back

A linear equation is of the first degree (e.g., y = mx + b), while a quadratic equation is of the second degree (e.g., ax^2 + bx + c = 0).

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

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 (a^2 + b^2 = c^2).

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but not a fraction or decimal.

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor is the largest positive integer that divides each of the given integers without leaving a remainder.