Algebra 1 Chapter 1 Vocabulary

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Questions and Answers

What is a variable?

A type of operation

A symbol used in expressions (correct)

An equation

A fixed number

What is a variable expression?

It consists of constants, variables, and operations.

What is a numerical expression?

An expression that includes numbers and operations.

What is a power?

A mathematical expression with a base and an exponent. Signup and view all the answers

What is an exponent?

A notation indicating the number of times a quantity is multiplied by itself. Signup and view all the answers

What is the base in a power?

The number that is being repeated in a power. Signup and view all the answers

What is the order of operations?

The sequence in which operations are carried out: parentheses, exponents, multiplication and division, addition and subtraction. Signup and view all the answers

What is an equation?

A mathematical sentence that contains an equals sign. Signup and view all the answers

What is the solution of an equation?

The set of values that make the equation true. Signup and view all the answers

What is an inequality?

A statement that compares two quantities using symbols like ≤, ≥, or ≠. Signup and view all the answers

What does modeling involve in mathematics?

Writing algebraic expressions, equations, or inequalities that represent real-life situations. Signup and view all the answers

What is a function?

A rule that establishes a relationship between two quantities, ensuring one output for each input. Signup and view all the answers

What is the domain of a function?

The set of all input values. Signup and view all the answers

What is the range of a function?

The set of output values. Signup and view all the answers

What are values in the context of variables?

The numbers that could be represented by a variable. Signup and view all the answers

What does evaluating the expression involve?

Carrying out the operations in a numerical expression to find its value. Signup and view all the answers

What is unit analysis?

Evaluating expressions with units of measure and checking that the answer uses correct units. Signup and view all the answers

What is a verbal model in mathematics?

A description of a problem using words and math symbols. Signup and view all the answers

What is data in a mathematical context?

Facts, figures, and other evidence gathered through observations. Signup and view all the answers

What is input in relation to a table or graph?

The data going into the table/graph, usually the x-value. Signup and view all the answers

What is output in relation to a table or graph?

The data coming out of the table/graph, usually the y-value. Signup and view all the answers

Study Notes

Algebra 1 Vocabulary Study Notes

Variable: A symbol (e.g., x, y) representing a variable quantity in expressions.
Variable Expression: Comprises constants, variables, and mathematical operations.
Numerical Expression: An expression that involves only numbers and operations.
Power: A mathematical expression formed by a base raised to an exponent.
Exponent: Denotes how many times the base is multiplied by itself, shown as a raised number.
Base: The number in a power that is repeatedly multiplied, typically the larger number in a power expression.
Order of Operations: The standard sequence for evaluating expressions: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction (PEMDAS).
Equation: A mathematical statement featuring an equals sign, indicating two expressions are balanced.
Solution: The set of values that, when plugged into an equation, yields a true statement.
Inequality: A mathematical statement that compares two quantities using symbols like <, ≤, ≥, or ≠.
Modeling: The process of creating algebraic expressions or equations based on real-world situations.
Function: A specific type of relation between two quantities where each input corresponds to exactly one output.
Domain: The complete set of all possible input values in a function.
Range: The complete set of all potential output values resulting from the inputs of a function.
Values: Numerical representations that can be assigned to variables.
Evaluating the Expression: The process of performing operations within a numerical expression to determine its value.
Unit Analysis: The method of assessing expressions that involve measurements to ensure the final answer maintains appropriate units.
Verbal Model: A representation of a problem using descriptive language alongside mathematical symbols to illustrate relationships.
Data: Collected facts, figures, and other pieces of evidence derived from observations.
Input: The data that is entered into a graph or table, typically represented as the x-value.
Output: The resulting data that comes from a graph or table, usually represented as the y-value.

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Description

Test your understanding of key vocabulary from Chapter 1 of McDougal Littell Algebra 1. This quiz includes definitions of terms such as variable, variable expression, and numerical expression. Perfect for students looking to reinforce their algebra skills.