Algebra Class: Expressions and Terms

Questions and Answers

What is an algebraic expression?

A group of numbers and/or variables connected by operations (correct)

A group of variables only

An operation without any variables

A group of numbers only

What is a coefficient?

The number in front of a variable.

What is a constant?

Quantities that we already know written in an expression.

What is the elimination method?

A method involving multiplication and combining equations to eliminate a variable. Signup and view all the answers

Define a factor.

The product of numbers or variables in a term. Signup and view all the answers

What is a formula?

An equation that states a rule for a relationship among quantities. Signup and view all the answers

What defines an inequality?

A mathematical sentence containing greater than, less than or not equal to. Signup and view all the answers

What are like terms?

Terms that have the same variables to the same power. Signup and view all the answers

What is an operation in algebra?

The relationship between variables and constants. Signup and view all the answers

What is the substitution method?

The process of substituting one equation for a variable in another equation. Signup and view all the answers

Define a system of equations.

A collection of equations that have the same variables. Signup and view all the answers

What is a term in algebra?

A number, variable or product or quotient of a number and variables. Signup and view all the answers

What are unlike terms?

Terms that have the same variable, but the powers are different. Signup and view all the answers

What is a variable?

The value that we do not know written as a symbol. Signup and view all the answers

Study Notes

Algebraic Expressions

Defined as combinations of numbers and/or variables connected by operations like addition, subtraction, multiplication, and division.

Coefficient

Represents the numerical factor in front of a variable within an expression.

Constant

Refers to known quantities present in an algebraic expression that do not change.

Elimination Method

A technique used to solve systems of equations by manipulating and combining equations to remove a variable.

Factor

Describes numbers or variables that can be multiplied together to form a term.

Formula

An equation that expresses a specific relationship between quantities, providing a way to calculate one variable from others.

Inequality

A mathematical statement that uses symbols to express relationships such as greater than, less than, or not equal to.

Like Terms

Terms within an expression that share identical variables raised to the same power, allowing for their combination.

Operation

Defines the connection or action between variables and constants within an expression, including addition, subtraction, multiplication, and division.

Substitution Method

A strategy for solving systems of equations that involves replacing a variable in one equation with an expression derived from another equation.

System of Equations

A set of two or more equations that share the same variables, which can be solved simultaneously.

Term

Constitutes a single mathematical entity which can be a number, variable, or a product/quotient of numbers and variables.

Unlike Terms

Terms that contain the same variable but differ in their powers, making them unable to combine.

Variable

A symbol used to represent an unknown quantity in mathematical expressions, indicating values that are not fixed.

Description

This quiz covers fundamental concepts of algebraic expressions, including coefficients, constants, and the elimination method. Testing your understanding of key terms like factors, formulas, and inequalities, it will help solidify your grasp of algebra. Perfect for students looking to enhance their algebra skills!