Questions and Answers
What is the value represented by the number 100?
100
What is the expression -4x²-2x+6?
-4x²-2x+6
What does the inequality 42x+31.5y ≤ 800 represent?
42x+31.5y ≤ 800
What is a function in the format y = ax² + c where a and c are both less than zero?
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What is the function h(x) = -3x - 10.5?
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Which expression is equivalent to (x+4)(2x-1)?
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What point is (2, -1)?
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What is 1/5 or 0.2?
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What does it mean when the graph of a new line is less steep and the y-intercept is translated up?
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What point is (0, 5.5)?
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What is -9/2 or -4.5?
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What does the number 13 represent?
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What does it mean when the domain is all real numbers greater than 0?
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What does the number 12 represent?
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What equation represents -3x + 5y = -15?
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What does it mean when the graph is narrower?
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Which expression is a factor of 36x² - 49?
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What is the function y = 2.5x + 90?
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Given f(x) = 6(1-x), what is the value of f(-8)?
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What is the set {8, 9, 10, 11, 12}?
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What does the expression 36πx^18y^10 represent?
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What system of equations represents 2x + y = -4 and -3y = 2x + 12?
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Which inequality describes all the solutions to 5(3 - x) < -2x + 6?
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What does the number 9 represent?
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What point is (6, 7)?
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What does the number 60 represent?
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What is the y-intercept of the graph?
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What does the inequality 0 ≤ y ≤ 9 represent?
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Study Notes
Algebra Concepts and Expressions
- Constant term example: 100
- Quadratic expression: -4x² - 2x + 6
- Inequality example: 42x + 31.5y ≤ 800
- Quadratic function form: y = ax² + c where a < 0 and c < 0 indicates a downward-opening parabola.
Function and Graph Characteristics
- Example of a linear function: h(x) = -3x - 10.5
- Polynomial expression equivalent: (x + 4)(2x - 1) simplifies to 2x² + 7x - 4.
Coordinates and Points
- Point in Cartesian coordinates: (2, -1)
- Reference point: (0, 5.5) related to the y-axis.
- Y-intercept of a linear equation: -5.
Numerical Values and Ranges
- Decimal and fraction equivalent: 1/5 = 0.2
- Output value from function f(x) = 6(1 - x) when x = -8 is 54.
- Given set of numbers: {8, 9, 10, 11, 12}.
- Possible constant value: 12.
Graph Translations and Features
- Translation behavior: Graph becomes less steep and the y-intercept increases.
- Graph characteristic: Narrower graph indicates a steeper slope.
- Solution range: 0 ≤ y ≤ 9 defines the vertical boundaries of the graph.
Equations and Inequalities
- Linear equation format: -3x + 5y = -15 represents a specific graph.
- System of equations represented: 2x + y = -4 and -3y = 2x + 12.
- Inequality solution example: x > 3 describes solutions for the inequality 5(3 - x) < -2x + 6.
Algebraic Products and Factors
- Factor identification: (6x - 7) is a factor of the expression 36x² - 49.
Multiplicative and Calculative Insights
- Power expression: 36πx^18y^10 signifies a product of constants and variables.
- Notable arithmetic value: 60 indicates a specific numerical output or constant in discussion.
Studying That Suits You
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Description
Prepare for the Algebra I End-of-Course exam with these flashcards covering key concepts, equations, and functions. Test your understanding of polynomials, inequalities, and quadratic functions in a concise format that aids memorization and recall.
