Algebraic Expressions and Polynomials Quiz

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Questions and Answers

Which of the following is an algebraic expression?

2 + 3 = 5
$4 + 2 = 6$
$3 - 1 = 2$
$5x + 2y$ (correct)

What are the parts of an algebraic expression that are separated by addition or subtraction called?

Variables
Coefficients
Factors
Terms (correct)

Which of the following is a trinomial?

$3x$
$5x^2 + 2x - 1$
$4x^3 + 2x^2 + x$ (correct)
$2x + 3y$

What determines the type of expression, whether it is a monomial, binomial, trinomial, or polynomial?

The number of terms (B) Signup and view all the answers

Which of the following is an example of a monomial?

$3x$ (B) Signup and view all the answers

What are monomials, binomials, trinomials, and polynomials?

Monomials, binomials, trinomials, and polynomials are all algebraic expressions in mathematics. Signup and view all the answers

How are algebraic expressions formed?

Algebraic expressions are formed by combining variables and constants using arithmetic operations (+, -, x, ÷). Signup and view all the answers

What is a term in an algebraic expression?

A term in an algebraic expression is a part that is separated by addition or subtraction. Signup and view all the answers

What is the difference between a variable and a constant?

A variable can take any value and is not fixed, while a constant is a fixed value. Signup and view all the answers

How is the type of expression determined?

The type of expression is determined by the number of terms it has; a monomial has one term, a binomial has two terms, a trinomial has three terms, and a polynomial has more than three terms. Signup and view all the answers

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Study Notes

Algebraic Expressions Overview

Algebraic expressions are formed using variables, constants, and coefficients.
Variables can assume any value, while constants represent fixed values.

Types of Algebraic Expressions

Monomials: Expressions with a single term (e.g., 5x).
Binomials: Expressions with two terms (e.g., 3x + 2).
Trinomials: Expressions with three terms (e.g., x^2 + x + 1).
Polynomials: Expressions with multiple terms, including monomials, binomials, and trinomials.

Components of Algebraic Expressions

Terms: Parts of an expression separated by addition (+) or subtraction (−).
Example: In 3x + 2, there are two terms: 3x and 2.

Operations in Algebraic Expressions

Algebraic expressions are created by combining variables and constants using arithmetic operations: addition (+), subtraction (−), multiplication (×), and division (÷).