Algebra 1 Chapter 2 Vocabulary

Vocabulary Terms and Definitions

• Consecutive integers: Integers listed in counting order, such as 1, 2, 3.

• Equivalent equations: Different equations that yield the same solution(s).

• Formula: An equation that represents a specific rule linking different quantities.

• Literal equation: A formula featuring multiple variables, representing a relationship with several unknowns.

• Multi-step equations: Equations requiring more than one operation for solution.

• Percent of change: A measurement of increase or decrease expressed as a percentage.

• Percent of increase: The percentage that represents the ratio of an increase relative to the original amount.

• Rate: A comparative measure of two quantities with different units, e.g., miles per hour.

• Scale: The proportional relationship between measurements of a model or drawing and the actual object.

• Solve an equation: The process of determining all variable values making the equation true.

• Unit rate: A ratio comparing two quantities, where the second quantity equals one unit.

• Dimensional analysis: The method of ensuring units are maintained throughout calculations.

• Extremes: In ratios, the outer terms (a and d) in the proportion a:b = c:d.

• Identity: An equation holding true for all variable values.

• Means: The inner terms (b and c) in the proportion a:b = c:d.

• Number theory: The mathematical study of integers and their relationships.

• Percent of decrease: The percentage representing the reduction relative to the original amount.

• Proportion: A statement of equivalence between two ratios, expressed in the form a:b = c:d, where neither b nor d equals zero.

• Scale model: A representation of an object, constructed at a reduced or enlarged size for analysis.

• Unit analysis: The practice of incorporating units during calculations to ensure dimensional consistency.

• Weighted average: An average calculated by taking into account the importance (weight) of each value, represented as M.

• Ratio: The quantitative comparison of two numbers through division.