Algebra I EOC Review Flashcards
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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?

<p>A function in y = ax² + c format, where a and c are both less than zero.</p> Signup and view all the answers

What is the function h(x) = -3x - 10.5?

<p>h(x) = -3x - 10.5</p> Signup and view all the answers

Which expression is equivalent to (x+4)(2x-1)?

<p>2x² + 7x - 4</p> Signup and view all the answers

What point is (2, -1)?

<p>(2, -1)</p> Signup and view all the answers

What is 1/5 or 0.2?

<p>0.2</p> Signup and view all the answers

What does it mean when the graph of a new line is less steep and the y-intercept is translated up?

<p>The graph is less steep and the y-intercept is translated up.</p> Signup and view all the answers

What point is (0, 5.5)?

<p>(0, 5.5)</p> Signup and view all the answers

What is -9/2 or -4.5?

<p>-4.5</p> Signup and view all the answers

What does the number 13 represent?

<p>13</p> Signup and view all the answers

What does it mean when the domain is all real numbers greater than 0?

<p>The domain includes all positive real numbers.</p> Signup and view all the answers

What does the number 12 represent?

<p>12</p> Signup and view all the answers

What equation represents -3x + 5y = -15?

<p>-3x + 5y = -15</p> Signup and view all the answers

What does it mean when the graph is narrower?

<p>The graph is narrower.</p> Signup and view all the answers

Which expression is a factor of 36x² - 49?

<p>(6x - 7)</p> Signup and view all the answers

What is the function y = 2.5x + 90?

<p>y = 2.5x + 90</p> Signup and view all the answers

Given f(x) = 6(1-x), what is the value of f(-8)?

<p>54</p> Signup and view all the answers

What is the set {8, 9, 10, 11, 12}?

<p>{8, 9, 10, 11, 12}</p> Signup and view all the answers

What does the expression 36πx^18y^10 represent?

<p>36πx^18y^10</p> Signup and view all the answers

What system of equations represents 2x + y = -4 and -3y = 2x + 12?

<p>2x + y = -4 and -3y = 2x + 12</p> Signup and view all the answers

Which inequality describes all the solutions to 5(3 - x) < -2x + 6?

<p>x &gt; 3</p> Signup and view all the answers

What does the number 9 represent?

<p>9</p> Signup and view all the answers

What point is (6, 7)?

<p>(6, 7)</p> Signup and view all the answers

What does the number 60 represent?

<p>60</p> Signup and view all the answers

What is the y-intercept of the graph?

<p>-5</p> Signup and view all the answers

What does the inequality 0 ≤ y ≤ 9 represent?

<p>0 ≤ y ≤ 9</p> Signup and view all the answers

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.

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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.

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