Final answer:
Algebra is a branch of mathematics that deals with variables, symbols, and the manipulation of these symbols to simplify and solve equations. It includes topics such as functions, function notations, properties of numbers, expressions, simplifying, and debt-to-income ratio.
Step-by-step explanation:
Algebra is a branch of mathematics that deals with variables, symbols, and the manipulation of these symbols to simplify and solve equations. It includes topics such as functions, function notations, properties of numbers, expressions, simplifying, and debt-to-income ratio.
A function is a relationship between two sets of numbers, where each input has a unique output. It can be represented using function notation, such as f(x), where x is the input variable and f(x) is the output. For example, f(x) = 2x represents a function that doubles the input value.
Properties of numbers refer to the different rules and properties that numbers follow. For example, the commutative property states that the order of addition or multiplication does not affect the result, while the associative property states that the grouping of numbers in addition or multiplication does not affect the result.
When it comes to expressions, algebra involves simplifying and evaluating them. This includes combining like terms, using the distributive property, and performing operations such as addition, subtraction, multiplication, and division.
Debt-to-income ratio is a financial concept that measures the proportion of a person's monthly income used to repay debts. It is calculated by dividing the total monthly debt payments by the monthly income, and it helps determine an individual's financial health and creditworthiness.