Algebra 1 STAAR EOC Flashcards

Functions and Notations

• y is a function of x: Describes a relationship where each input (x) has one output (y).
• Ordered pair: A pair of numbers (x, y) representing the coordinates on a graph.
• Independent variable: Represented by x, it is the input value that is manipulated.
• Dependent variable: Represented by y, it depends on the value of x.

Algebraic Concepts

• Coefficient: The numerical factor in front of a variable in an algebraic expression.
• Slope: The ratio of the change in y (rise) to the change in x (run); often expressed as "y per x".
• Solution set: The collection of all possible solutions to an equation, often expressed as ordered pairs.

Geometry Terms

• Perimeter: The total distance around a shape, calculated by summing the lengths of all sides.
• Axis of symmetry: A line that divides a figure into two mirror-image halves.

Domain and Range

• Domain: The set of all possible input values (x-values) for a function.
• Range: The set of all possible output values (y-values) for a function.
• Vertical (domain): Refers to the x-axis.
• Horizontal (range): Refers to the y-axis.

Inequalities and Solutions

• No more than: Indicates a maximum value; mathematically represented as ≤.
• No less than: Indicates a minimum value; mathematically represented as ≥.
• One solution: Occurs when two lines intersect at a single point.
• No solutions: Occurs when two lines are parallel and do not intersect.
• Infinite solutions: Occurs when two lines are identical, lying on top of each other.

Trends in Functions

• Increasing: A function whose graph rises from left to right; indicative of positive changes in values.
• Decreasing: A function whose graph falls from left to right; indicative of negative changes in values.
• Constant rate of change: Describes how much a function's output changes with respect to its input, remains steady.

Additional Concepts

• Translate: Moving a figure from one location to another without changing its shape or size.
• Model: A representation of a system or process, used to show relationships or functions.
• Maximum and minimum: Refers to the highest or lowest points of a function within a defined domain.
• Zeroes: The x-values where the function f(x)=0; also known as roots.
• Integers: Whole numbers that do not include fractions or decimals.

Special Function Evaluations

• What is f(x) when x=3?: Represents how to evaluate the function at a specific point.
• What is x when f(x)=0?: Focuses on finding the x-intercepts of the function.