Chapter 2 Algebra 1 Flashcards

Percent of Change

• Defined as the ratio of change in amount to the original amount, expressed as a percentage; applicable for both increases and decreases.

Percent of Increase/Decrease

• Indicates the change in percentage based on whether the new value is greater (increase) or less (decrease) than the original.

Solving Equations

• Involves finding the variable's value that satisfies the equation, making it true.

Identity

• An equation that holds true for all values of the variable, meaning the variable can equal all real numbers.

No Solution

• Refers to an equation that has no possible variable value that will make it true.

Equivalent Equations

• Equations that yield the same solution; they may appear different but result in identical outcomes.

Properties of Equality

• Subtraction Property: Subtracting the same number from both sides of an equation maintains equality.
• Addition Property: Adding the same number to both sides of an equation retains equality.
• Multiplication Property: Multiplying both sides of an equation by the same number keeps the equation balanced.
• Division Property: Dividing both sides of an equation by the same non-zero number results in an equivalent equation.

Multi-Step Equations

• Equations requiring more than one operation to solve, necessitating multiple steps.

Consecutive Integers

• Refers to integers in counting sequence, e.g., n, n+1, n+2.

Consecutive Even/Odd Integers

• Even integers: n, n+2, n+4 (e.g., 2, 4, 6).
• Odd integers: n, n+2, n+4 (e.g., 1, 3, 5).

Number Theory

• The study focused on numbers and their relational dynamics.

Ratio and Proportion

• Ratio: A comparison of two numbers indicated through division.
• Proportion: An equation that asserts two ratios are equal.

Mathematical Relationships

• Formula: A rule or equation expressing a mathematical relationship.
• Unit Rate: Comparison of how many of one item is equivalent to one of another.

Algebra Tiles

• Physical or visual tools used to model equations and expressions for better understanding.

Absolute Value

• Represents the distance of a number from zero on a number line, disregarding the direction.

Proportion Terminology

• Means: The middle terms in a proportion.
• Extremes: The first and last terms in a proportion.

Scale and Scale Models

• Scale: A factor indicating size differences of figures.
• Scale Model: A representation of an object adjusted in size by a specific factor.

Debt to Income Ratio

• Calculation derived from dividing monthly debt by monthly income.

Dimensional Analysis

• Process of ensuring units are consistently applied during calculations, such as converting feet to miles.

Weighted Average

• Computed by multiplying each data point by its corresponding weight and then finding the average of the results.

Mixture Problems

• Situations where two or more components are combined to form a whole.

Rate and Rate Problems

• Rate: A ratio comparing two different units of measurement.
• Rate Problems: Focus on objects moving at a defined speed or rate.

Metric

• A system or rule for designating a numeric value to some characteristic, such as grading metrics.

Literal Equations

• Equations involving multiple variables, often used to express formulas.

Test your understanding of key concepts from Chapter 2 of Glencoe Algebra 1 with these flashcards. This quiz covers definitions of important terms such as percent of change and methods for solving equations. Perfect for review and study.