Algebra 2 SAT Prep Flashcards
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Questions and Answers

What is the formula for exponential growth?

  • y=a(1+r)^t (correct)
  • y=a(1-r)^t
  • x = -b ± √(b² - 4ac)/2a
  • b^2-4ac

    • What is the formula for exponential decay?

  • x = -b ± √(b² - 4ac)/2a
  • b^2-4ac
  • y=a(1-r)^t (correct)
  • y=a(1+r)^t

    • What does the Quadratic Formula calculate?

    x = -b ± √(b² - 4ac)/2a

    Match the discriminant rules with their outcomes:

    <p>d &gt; 0 = 2 solutions d &lt; 0 = no solutions d = 0 = one solution</p> Signup and view all the answers

    What is the discriminant formula?

    <p>b² - 4ac</p> Signup and view all the answers

    What does 'b' represent in the context of a function?

    <p>the starting value of y</p> Signup and view all the answers

    Complete the sentence: For m: as x ___ 1, y ___ m.

    <p>increases by, increases by</p> Signup and view all the answers

    What is the term for the x-intercept?

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

    What does 'Minimum' refer to in a function?

    <p>the y-value at the lowest point</p> Signup and view all the answers

    What does 'Maximum' refer to in a function?

    <p>the y-value of the highest</p> Signup and view all the answers

    What is the characteristic of Linear Growth?

    <p>Increases by the same amount every time</p> Signup and view all the answers

    What characterizes exponential growth?

    <p>increases by a different amount every time</p> Signup and view all the answers

    Study Notes

    Exponential Growth and Decay

    • Exponential Growth Formula: y = a(1 + r)^t, where 'a' is the starting value, 'r' is the growth rate, and 't' is time.
    • Exponential Decay Formula: y = a(1 - r)^t, affecting the same variables as growth but indicating a decrease.

    Quadratic Functions

    • Quadratic Formula: x = -b ± √(b² - 4ac)/2a, used to find the roots of quadratic equations.
    • Discriminant Formula: d = b² - 4ac, determines the nature of the roots based on its value.

    Discriminant Rules

    • Two Solutions: Occurs when d > 0, meaning there are two distinct real solutions.
    • No Solutions: When d < 0, indicating that there are no real solutions.
    • One Solution: Happens when d = 0, resulting in exactly one real solution.

    Characteristics of Functions

    • 'b' as Starting Value: In the context of exponential functions, 'b' indicates the initial value of 'y'.
    • Rate of Change: For a constant m, as 'x' increases by 1, 'y' increases by m, representing a linear growth scenario.

    Features of Graphs

    • Zero (x-intercept): The point where the graph intersects the x-axis, indicating where y equals zero.
    • Minimum Value: Refers to the lowest y-value achieved on the graph, indicating the lowest point of the function.
    • Maximum Value: Denotes the highest y-value on the graph, representing the peak of the function.

    Growth Models

    • Linear Growth: Characterized by a consistent increase of the same amount over intervals.
    • Exponential Growth: Features a changing increase, where the addition grows disproportionately over time, highlighted by the growth formula.

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    Description

    Prepare for your SAT with these Algebra 2 flashcards. Each card explains essential concepts such as exponential growth, quadratic formulas, and discriminant rules, providing you with a quick reference for critical algebraic formulas. Boost your confidence and mastery in Algebra 2 as you get ready for the exam!

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