Algebra Vocabulary Unit 2
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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.

    <p>A relationship between sets of information.</p> Signup and view all the answers

    What is an algebraic expression?

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

    What does coefficient mean?

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

    What is a constant?

    <p>A value that does not change.</p> Signup and view all the answers

    What does it mean to evaluate an expression?

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

    Define mathematical expression.

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

    What is a numerical expression?

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

    What is an operator?

    <p>A symbol that indicates a mathematical operation.</p> Signup and view all the answers

    What is a relation symbol?

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

    What does simplifying an expression entail?

    <p>Performing all the indicated operations.</p> Signup and view all the answers

    What is a term in mathematics?

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

    What is a variable?

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

    What is a first-degree variable?

    <p>A variable raised to the power of 1.</p> Signup and view all the answers

    What are grouping symbols?

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

    Define like terms.

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

    What is the order of operations?

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

    What is a second-degree variable?

    <p>A variable raised to the power of 2.</p> Signup and view all the answers

    What is a dependent variable?

    <p>The output of a function.</p> Signup and view all the answers

    Define equation in mathematics.

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

    What is a function?

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

    What is an independent variable?

    <p>The input of a function.</p> Signup and view all the answers

    Define inequality.

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

    What is input in a function?

    <p>The variable that determines the value of the output.</p> Signup and view all the answers

    What is output in a function?

    <p>The variable whose value depends on the input.</p> Signup and view all the answers

    Define conversion factor.

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

    What is indirect measurement?

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

    What are means and extremes in proportions?

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

    What is a proportion?

    <p>An equation stating that two ratios are equal.</p> Signup and view all the answers

    What is a rate?

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

    What is a ratio?

    <p>A comparison of two similar quantities using division.</p> Signup and view all the answers

    What is a unit rate?

    <p>A rate in which the second quantity is written as 1 unit.</p> 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.

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