Algebra 1 Chapter 2 Vocabulary

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?

A formula or equation with several variables. Signup and view all the answers

What are multi-step equations?

Equations with more than one operation. Signup and view all the answers

What is percent of change?

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

What is percent of increase?

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

What is a rate?

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

What is scale?

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

What does it mean to solve an equation?

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

What is a unit rate?

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

What is dimensional analysis?

The process of carrying units throughout a computation. Signup and view all the answers

What are extremes in a ratio?

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

What is an identity in mathematics?

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

What are means in a ratio?

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

What is number theory?

The study of numbers and the relationships between them. Signup and view all the answers

What is percent of decrease?

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

What is a proportion?

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

What is a scale model?

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

What is unit analysis?

The process of including units of measurement when computing. Signup and view all the answers

What is a weighted average?

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

What is a ratio?

A comparison of two numbers by division. 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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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.