Algebraic Expressions and Polynomials

Questions and Answers

What is an algebraic expression?

A type of linear function.

A number that represents a quantity.

An equation with equal sides.

A mathematical phrase involving at least one variable and sometimes numbers and operation symbols. (correct)

What is the term in algebra?

The number part of the term.

What does a variable represent in algebra?

The letter part of the term.

What is an exponent?

The small number to the right of the variable. Signup and view all the answers

What are like terms?

Terms that have the same variable and exponents. Signup and view all the answers

What does it mean to simplify an expression?

To simplify an expression you add the like terms in the expression. Signup and view all the answers

What is a polynomial?

An algebraic expression that has one or more terms. Signup and view all the answers

How do you add polynomials?

You regroup and add like terms. Signup and view all the answers

How do you subtract polynomials?

Change the signs of all terms in the second polynomial and then add. Signup and view all the answers

Study Notes

Algebraic Expressions and Terms

An algebraic expression involves at least one variable, numbers, and operation symbols, forming a mathematical phrase.
A term refers to either a single number or a variable with an exponent.
The variable denotes the letter that represents an unknown value within a term.
The exponent is a small number next to the variable indicating the power to which the variable is raised.

Like and Unlike Terms

Like terms are defined as terms that share the same variable and have identical exponents.
Simplifying an expression requires combining like terms, which means you can only add or subtract terms that are alike.

Polynomials

A polynomial consists of one or more terms combined through addition or subtraction, forming a specific type of algebraic expression.

Operations with Polynomials

When adding polynomials, the process involves regrouping and summing like terms to form a combined expression.
For subtracting polynomials, the first step is to change the signs of all terms within the second polynomial, followed by adding the adjusted terms to the first polynomial.

Description

This quiz explores algebraic expressions, their components, and the distinction between like and unlike terms. Participants will also dive into polynomials, understanding how to simplify and perform operations on them. Test your knowledge on these fundamental algebra concepts!