Algebra 1 Unit 1 Vocabulary Flashcards

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Questions and Answers

What is an algebraic expression?

A mathematical phrase that has a variable and can include numbers and operations (correct)

A term that has no variable factor

A number that shows repeated multiplication

A mathematical sentence with an equal sign

What is a coefficient?

The numerical factor when a term has a variable.

What is a constant?

A term that has no variable factor.

What does it mean to evaluate an expression?

Substitute a given number for each variable, and then simplify. Signup and view all the answers

What is the Order of Operations?

Common order followed when simplifying an expression. Signup and view all the answers

What does substitute mean in algebra?

Replace a variable with a given value to simplify or solve a problem. Signup and view all the answers

What is a variable?

A symbol, usually a letter, that represents one or more numbers. Signup and view all the answers

Define an equation.

A mathematical sentence that uses an equal sign. Signup and view all the answers

What is an open sentence?

An equation that contains one or more variables. Signup and view all the answers

What is an exponent?

A number that shows repeated multiplication. Signup and view all the answers

What does it mean to simplify an expression?

To replace an algebraic expression with its simplest name or form. Signup and view all the answers

What is absolute value?

The distance that a number is from zero on a number line. Signup and view all the answers

What are integers?

Whole numbers and their opposites. Signup and view all the answers

Define irrational numbers.

A number that cannot be written as the quotient of two integers. Signup and view all the answers

What are natural numbers?

The counting numbers 1, 2, 3,... Signup and view all the answers

What are rational numbers?

A real number that can be written as the quotient of two integers. Signup and view all the answers

What are real numbers?

A number that is either rational or irrational. Signup and view all the answers

What are whole numbers?

The non-negative integers 0, 1, 2, 3,... Signup and view all the answers

Study Notes

Algebra 1 Vocabulary Overview

Algebraic Expression: A mathematical phrase that includes at least one variable alongside numbers and operations; also known as a variable expression.
Coefficient: The numerical factor in a term that contains a variable.
Constant: A term that does not include a variable; it remains unchanged.
Evaluate: The process of substituting specific values for each variable in an expression and simplifying the result.
Order of Operations: A specific sequence of steps to follow when simplifying expressions, typically remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Substitute: The act of replacing a variable in an expression with a specific number to solve or simplify the problem.
Variable: A symbol, often a letter, that stands for one or more numbers in mathematical expressions.
Equation: A mathematical statement that equates two expressions using an equal sign.
Open Sentence: An equation that contains one or more variables, rather than fixed numbers.
Exponent: Indicates how many times a number (the base) is multiplied by itself, representing repeated multiplication.
Simplify: To transform an algebraic expression into its most basic form, making it easier to work with.
Absolute Value: The non-negative distance of a number from zero on the number line, disregarding direction.
Integers: The set of whole numbers that includes zero and its negative counterparts, represented as ...-3, -2, -1, 0, 1, 2, 3...
Irrational Numbers: Numbers that cannot be expressed as a fraction of two integers; their decimal forms are non-terminating and non-repeating.
Natural Numbers: The positive counting numbers starting from 1, represented as 1, 2, 3, ...
Rational Numbers: Any real number that can be represented as the quotient of two integers; their decimal forms are either terminating or repeating.
Real Numbers: All numbers, encompassing both rational and irrational numbers.
Whole Numbers: Non-negative integers, including zero (0, 1, 2, 3, ...).

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Description

Test your knowledge of essential vocabulary in Algebra 1 Unit 1. This quiz covers terms like algebraic expression, coefficient, and constant, helping you understand the foundational elements of algebra. Perfect for students preparing for exams or wanting to solidify their understanding of algebra concepts.