Algebra Vocabulary Unit 2

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.

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.