Algebra 1 Vocabulary - Functions Review

Questions and Answers

What does the term 'Variable' refer to?

Terms with the same variables raised to the same exponents.

A symbol/letter used to represent a quantity that can change. (correct)

A mathematical statement that two expressions are equivalent/equal.

To rewrite an expression in a way that is equivalent.

What is an Expression?

A statement having numbers, variables, and/or operation symbols grouped together without an equal/inequality sign to show a relationship.

Define an Equation.

A mathematical statement that two expressions are equivalent/equal.

What are Like Terms?

Terms with the same variables raised to the same exponents. Signup and view all the answers

What does it mean to Simplify an expression?

To rewrite an expression in a way that is equivalent, reducing the value. Signup and view all the answers

What does Evaluate mean in algebra?

To find the value of an algebraic expression by substituting a number for each variable and simplifying using the order of operations. Signup and view all the answers

What does it mean to Solve an equation?

To find the value that makes an equation, inequality, or system true by isolating the given variable. Signup and view all the answers

What does Equivalent mean in mathematics?

Equal in value, function, or meaning; numbers or functions that are written differently but represent the same amount. Signup and view all the answers

What is the Commutative Property?

States that you can swap numbers around and still get the same answer when you add or when you multiply. Signup and view all the answers

Define the Distributive Property.

For all real numbers a, b, and c, a(b + c) = ab + ac, and (b + c)a = ba + ca. Signup and view all the answers

What are Literal Equations?

An equation that contains two or more variables, solved by using opposite operations to isolate the specified variable. Signup and view all the answers

Study Notes

Algebraic Models and Functions Vocabulary

Variable: Represents a quantity that can change, typically denoted by a symbol or letter.
Expression: A combination of numbers, variables, and operation symbols that does not equate to anything; it shows relationships without an equals or inequality sign.
Equation: A mathematical statement asserting the equivalence of two expressions.
Like Terms: Terms in an expression that share the same variables raised to identical exponents, allowing for simplification.
Simplify: The process of rewriting an expression to reduce its complexity while retaining equivalence.
Evaluate: Determining the value of an algebraic expression by substituting numbers for variables and applying the order of operations.
Solve: Finding the value of a variable that satisfies an equation or inequality, often by isolating the variable.
Equivalent: Describes expressions, numbers, or functions that, despite differing forms, hold equal value or meaning.
Commutative Property: Allows for the swapping of numbers in addition or multiplication without affecting the result (a + b = b + a and a × b = b × a).
Distributive Property: States that multiplying a number by the sum of two others can be distributed to each term (a(b + c) = ab + ac).
Literal Equations: Equations involving two or more variables where solving typically requires rearranging terms with opposite operations to isolate the target variable.

Description

This quiz features key vocabulary terms related to algebraic models and functions, designed for STAAR review. Test your understanding of essential concepts like variables, expressions, and equations. Perfect for students preparing for their Algebra 1 exams.