Understanding Algebra

algebra

Answer explanation

In algebra, we use symbols, usually letters such as x, y, or z, to represent unknown numbers. The part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations

expression

Answer explanation

A mathematical phrase that contains operations (such as + or -), numbers, and/or variables.

equation

Answer explanation

A mathematical sentence that contains an equals sign. To solve an equation, we find the missing number, or variable, that makes the sentence true. This number is called the solution.

Variable

Answer explanation

A symbol that is used to represent a number Letters or symbols used in place of a quantity we don't know yet.

term

Answer explanation

A term is a number by itself or the product of a number and a variable (or more than one variable). Each term is separated by an addition calculation symbol. In the expressions 6x + 4, there are two terms: 6x and 4. An expression is made up of one or more terms. In an expression, terms are separated by an addition calculation, which may appear as a positive or negative sign. an expression that is a number, a variable, or the product of a number and one or more variables

Operators

Answer explanation

These symbols tell us what to do. Addition (+), subtraction (-), multiplication (x), and division (/) are the most common operators. Word problems that deal with expressions use words instead of operators. Sum means addition Difference means subtraction Product means multiplication Quotient means division The symbols with which you can specify the type of calculation you want to perform such as + or -

Properties

Answer explanation

A set of math rules that are always true. They often help us to solve equations. Some important ones are. . . Identity property of addition Identity property of multiplication Commutative property of addition Commutative property of multiplication Associative property of addition Associative property of multiplication Distributive property of multiplication Distributive property of multiplication over subtraction

constant

Answer explanation

A number that stays fixed in an expression (it stays constant). For example, in the expression 6x + 4, the constant is 4. A value that does not change, a term without a variable

Algebraic expression

Answer explanation

A collection of numbers, variables, operational symbols, and grouping symbols

Coefficient

Answer explanation

A number multiplied by a variable in an algebraic expression. For example, in the expression 6x + 4, the coefficient is 6.