Algebra Vocabulary Unit 2

Questions and Answers

What is Algebra?

A value that changes.

A relationship between sets of information.

The source of origin of a word.

The branch of mathematics using alphabetic symbols to represent unknown numbers. (correct)

What does conceptual mean?

Relating to abstract ideas.

What is derivation?

The source of origin of a word.

Define relation in mathematics.

A relationship between sets of information. Signup and view all the answers

What is an algebraic expression?

An expression that contains variables or a combination of constants and variables with one or more operators. Signup and view all the answers

What does coefficient mean?

The number written together with a variable to indicate the product. Signup and view all the answers

What is a constant?

A value that does not change. Signup and view all the answers

What does it mean to evaluate an expression?

Find the numerical value of an expression by substituting a number for each variable. Signup and view all the answers

Define mathematical expression.

A combination of terms with one or more operators grouped together to represent a numerical value. Signup and view all the answers

What is a numerical expression?

An expression that contains only numbers with one or more operators. Signup and view all the answers

What is an operator?

A symbol that indicates a mathematical operation. Signup and view all the answers

What is a relation symbol?

A symbol that shows the relation between two expressions, such as equal or unequal. Signup and view all the answers

What does simplifying an expression entail?

Performing all the indicated operations. Signup and view all the answers

What is a term in mathematics?

Part of a mathematical expression consisting of a constant, a variable, or their product. Signup and view all the answers

What is a variable?

A value that can change or represents an unknown quantity. Signup and view all the answers

What is a first-degree variable?

A variable raised to the power of 1. Signup and view all the answers

What are grouping symbols?

Symbols used to indicate groups of terms that should be treated as one term. Signup and view all the answers

Define like terms.

Terms that contain the same set of variables raised to the same power. Signup and view all the answers

What is the order of operations?

A set of rules for performing operations in expressions involving more than one operation. Signup and view all the answers

What is a second-degree variable?

A variable raised to the power of 2. Signup and view all the answers

What is a dependent variable?

The output of a function. Signup and view all the answers

Define equation in mathematics.

A relation in which one expression is equal to another. Signup and view all the answers

What is a function?

A relation where every input is paired with exactly one output. Signup and view all the answers

What is an independent variable?

The input of a function. Signup and view all the answers

Define inequality.

A relation in which one expression is not equal to another expression. Signup and view all the answers

What is input in a function?

The variable that determines the value of the output. Signup and view all the answers

What is output in a function?

The variable whose value depends on the input. Signup and view all the answers

Define conversion factor.

A ratio used to convert one unit of measurement to another. Signup and view all the answers

What is indirect measurement?

A method using formulas, figures, or proportions to measure. Signup and view all the answers

What are means and extremes in proportions?

Terms opposite each other across the division symbol in a proportion. Signup and view all the answers

What is a proportion?

An equation stating that two ratios are equal. Signup and view all the answers

What is a rate?

The ratio of the amount of change of one quantity relative to another. Signup and view all the answers

What is a ratio?

A comparison of two similar quantities using division. Signup and view all the answers

What is a unit rate?

A rate in which the second quantity is written as 1 unit. Signup and view all the answers

Study Notes

Algebra Vocabulary Study Notes

Algebra
- A mathematical branch using symbols to represent unknown numbers.
- Aims to generalize arithmetic operations and relationships.
Conceptual
- Pertains to abstract ideas and notions.
Derivation
- Refers to the origin or source of a word.
Relation
- Indicates a connection between sets of information.
Algebraic Expression
- Comprises constants and variables combined with operators.
Coefficient
- A number in front of a variable indicating a multiplied product.
Constant
- A fixed value that remains unchanged.
Evaluate an Expression
- The process of substituting variables with numbers and simplifying to find a numerical value.
Mathematical Expression
- A combination of terms and operators representing a numerical value.
Numerical Expression
- Contains only numbers and operators without variables.
Operator
- A symbol indicating mathematical operations such as +, −, ×, or ÷.
Relation Symbol
- Symbols indicating relationships between expressions (e.g., = for equality, ≠ for inequality).
Simplifying an Expression
- Involves performing all indicated mathematical operations.
Term
- A segment of an expression that can be a constant, variable, or the product of a number and a variable.
Variable
- Represents an unknown value, typically denoted by letters or symbols.
First-Degree Variable
- A variable raised to the power of one.
Grouping Symbols
- Indicate terms to be treated as a single unit, commonly seen as parentheses.
Like Terms
- Terms sharing the same variables raised to identical powers.
Order of Operations
- A prescribed sequence for performing operations in expressions.
Second-Degree Variable
- A variable raised to the power of two.
Dependent Variable
- Represents the output of a function based on the input.
Equation
- A statement making two expressions equal.
Function
- A relation pairing each input to one specific output.
Independent Variable
- The input of a function that determines the output.
Inequality
- States that one expression does not equal another.
Input
- The variable that influences the output in a function.
Output
- The variable derived from the input in a function.
Conversion Factor
- A ratio used for converting measurement units.
Indirect Measurement
- Involves calculating measurements using formulas or proportions.
Means and Extremes
- Terms located opposite each other across the division symbol in proportions.
Proportion
- An equation asserting the equality of two ratios.
Rate
- A measurement of change in one quantity relative to another quantity.
Ratio
- A division comparison of two similar quantities.
Unit Rate
- A rate where the second quantity equals one unit.

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Test your understanding of key terms in Algebra with this Unit 2 vocabulary flashcard quiz. Each card provides a definition to help solidify your grasp of important mathematical concepts. Perfect for students looking to enhance their algebraic vocabulary and comprehension.