Questions and Answers
What is y in relation to x?
What is the perimeter?
sum of all the sides
What is the axis of symmetry?
Kind like of you being able to see reflection
What does 'no more than' mean in mathematical terms?
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What is slope?
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What is an ordered pair?
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What is a coefficient?
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What is a solution set?
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What is the range in a function?
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What is the domain in a function?
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What does the equation y = mx + b represent?
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What indicates one solution in a graph?
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What indicates no solutions in a graph?
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What indicates infinite solutions in a graph?
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What is independent in a function?
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What is dependent in a function?
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What does fixed mean in a mathematical context?
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What does 'no less than' signify?
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What are integers?
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What is x when f(x) = 0?
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What is f(x) when x = 3?
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Study Notes
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.
Studying That Suits You
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Description
Test your understanding of key concepts in Algebra 1 with these flashcards. Each card features a term along with its definition, helping you grasp essential vocabulary for the STAAR EOC exam. Perfect for quick revision or in-depth study.
