Algebra 1 Chapter 2 Vocabulary
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Questions and Answers

What are consecutive integers?

  • Integers that are prime numbers
  • Integers that sum to zero
  • Integers in counting order (correct)
  • Integers that are all even
  • What are equivalent equations?

    Equations that have the same solution.

    What is a formula?

    An equation that states a rule for the relationship between certain quantities.

    What is a literal equation?

    <p>A formula or equation with several variables.</p> Signup and view all the answers

    What are multi-step equations?

    <p>Equations with more than one operation.</p> Signup and view all the answers

    What is percent of change?

    <p>When an increase or decrease is expressed as a percent.</p> Signup and view all the answers

    What is percent of increase?

    <p>The ratio of an amount of increase to the previous (original) amount expressed as a percent.</p> Signup and view all the answers

    What is a rate?

    <p>The ratio of two measurements having different units of measure.</p> Signup and view all the answers

    What is scale?

    <p>The relationship between the measurements on a drawing or model and the measurements of the real object.</p> Signup and view all the answers

    What does it mean to solve an equation?

    <p>The process of finding all values of the variable that make the equation a true statement.</p> Signup and view all the answers

    What is a unit rate?

    <p>A ratio of two quantities, the second of which is one unit.</p> Signup and view all the answers

    What is dimensional analysis?

    <p>The process of carrying units throughout a computation.</p> Signup and view all the answers

    What are extremes in a ratio?

    <p>In the ratio a:b = c:d, a and d are the extremes.</p> Signup and view all the answers

    What is an identity in mathematics?

    <p>An equation that is true for every value of the variable.</p> Signup and view all the answers

    What are means in a ratio?

    <p>In the ratio a:b = c:d, b and c are the means.</p> Signup and view all the answers

    What is number theory?

    <p>The study of numbers and the relationships between them.</p> Signup and view all the answers

    What is percent of decrease?

    <p>The ratio of an amount of decrease to the previous (original) amount expressed as a percent.</p> Signup and view all the answers

    What is a proportion?

    <p>An equation of the form a:b = c:d, where b and d cannot equal 0, stating that two ratios are equivalent.</p> Signup and view all the answers

    What is a scale model?

    <p>A model used to represent an object that is too large or too small to be built at actual size.</p> Signup and view all the answers

    What is unit analysis?

    <p>The process of including units of measurement when computing.</p> Signup and view all the answers

    What is a weighted average?

    <p>The sum of the product of the number of units and the value per unit divided by the sum of the number of units.</p> Signup and view all the answers

    What is a ratio?

    <p>A comparison of two numbers by division.</p> Signup and view all the answers

    Study Notes

    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.

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    Description

    This quiz helps reinforce the vocabulary from Chapter 2 of the Glencoe Algebra 1 Common Core textbook. Each flashcard features key terms such as 'consecutive integers' and 'equivalent equations' along with their definitions. Perfect for mastering essential algebra concepts with ease.

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