Algebra Basics Flashcards

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the absolute value?

The negative of a number

The distance from a number to zero on the number line (correct)

The square of a number

The sum of a number and zero

What is a binomial?

An expression which is the sum of two terms.

What is a coefficient?

A number that comes before a variable.

What is the distributive property?

When multiplying a number by an expression in parentheses. Signup and view all the answers

What does it mean to evaluate an expression?

To find the value of an expression. Signup and view all the answers

What is an exponent?

A number that tells the power to which a base is raised. Signup and view all the answers

What is a factor?

A number that divides evenly into another number. Signup and view all the answers

What does FOIL stand for?

First, Inner, Outer, Last. Signup and view all the answers

What are like terms?

Terms which have the same variable and are raised to the same power. Signup and view all the answers

What is the order of operations?

The specific sequence in which operations are performed in an expression. Signup and view all the answers

What does PEMDAS stand for?

Parentheses, Exponent, Multiplication/Division, Addition/Subtraction. Signup and view all the answers

What is place value?

The value of a digit based on its position in a number. Signup and view all the answers

What are polynomials?

An expression made of multiple terms. Signup and view all the answers

What is a power?

A product of identical factors. Signup and view all the answers

What is scientific notation?

An expression of a number written as $10^n$. Signup and view all the answers

What does it mean to simplify an expression?

To perform all the operations within an expression. Signup and view all the answers

What is a square root?

A number that produces a specified quantity when multiplied by itself. Signup and view all the answers

What is a term?

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

What is an unknown or variable?

A symbol that represents a solution to an equation. Signup and view all the answers

Study Notes

Algebra Basics

Absolute Value
Represents the distance from a number to zero on the number line. Denoted as |n|, it is always a positive value.
Binomial
An algebraic expression that consists of the sum of two distinct terms (e.g., 4x + x³).
Coefficient
The numerical factor in a term that comes before a variable, such as in 2x, where 2 is the coefficient.
Distributive Property
A rule for multiplying a number by an expression in parentheses (e.g., 2(x+y)), which involves multiplying each term inside the parentheses by the term outside.
Evaluate
The process of finding the value of an expression or solving an equation.
Exponent
A number indicating the power to which a base is raised, showing how many times the base is multiplied by itself.
Factor
As a noun, it refers to a number that divides another number evenly. As a verb, it refers to expressing a number or algebraic expression as a product of two or more terms.
FOIL Method
An acronym for First, Inner, Outer, Last, describing the order of operations when multiplying two binomials, allowing for the combination of unlike terms.
Like Terms
Terms that share the same variable raised to the same power, allowing them to be combined in expressions.
Order of Operations
The rule that determines the sequence in which operations (addition, multiplication, etc.) are performed in an expression.
PEMDAS
An acronym representing the Order of Operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
Place Value
Represents the numerical value a digit holds based on its position within a number (e.g., in 35.6, 3 is in the tens place and equals 30).
Polynomials
Algebraic expressions composed of multiple terms, which can include like or unlike terms.
Power
Refers to the product of identical factors.
Scientific Notation
A way of expressing numbers as 10^n, convenient for representing very large or small numbers. The exponent indicates how many decimal places to move.
Simplify an Expression
The act of performing all possible operations within an expression to condense it into its simplest form.
Square Root
A value that, when multiplied by itself, yields a specified quantity (e.g., the square root of 49 is 7).
Term
Can be a number, variable, or the product/quotient of numbers and variables (e.g., 2, x, or 2x).
Unknown or Variable
A letter or symbol that represents a solution to an equation.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

Test your understanding of fundamental algebra concepts with these flashcards. This quiz covers key terms like absolute value, binomials, and coefficients to help reinforce your learning. Ideal for beginners in algebra.