Honors Algebra II Midterm Review
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Questions and Answers

Which of the following represents the axis of symmetry for a quadratic function in vertex form?

  • $x = h$ (correct)
  • $y = h$
  • $x = k$
  • $y = k$
  • When solving the system of equations $2x + 3y = 6$ and $4x + 6y = 12$, what type of system is this?

  • Contradictory
  • Independent
  • Inconsistent
  • Dependent (correct)
  • Which transformation describes a vertical shift of a function graphed on a Cartesian plane?

  • Reflection
  • Dilation
  • Translation (correct)
  • Rotation
  • Which of the following is NOT a valid operation when working with complex numbers?

    <p>Division by zero</p> Signup and view all the answers

    What does the discriminant value of a quadratic function indicate?

    <p>The number of real roots</p> Signup and view all the answers

    Study Notes

    Honors Algebra II Midterm Outline

    • Chapters 1-5

    Equations and Expressions

    • Evaluate/Simplify equations and expressions

    Inequalities and Absolute Value Functions

    • Solve inequalities and absolute value functions

    Linear Functions

    • Slope
    • Standard Form
    • Slope-Intercept Form
    • Graphing
    • Function Notation
    • Linear Regression (using a graphing calculator)

    Quadratic Functions

    • Vertex
    • Axis of symmetry
    • X- and Y-intercepts
    • Maximum/Minimum
    • Discriminant (type of roots)
    • Vertex form
    • Graphing
    • Solving (factoring, completing the square, quadratic formula)
    • Write a quadratic function given its roots

    Polynomial Functions

    • Dividing/multiplying polynomials
    • Describing end behaviors
    • Degree/leading coefficient
    • Solving to find zeros
    • Difference/sum of cubes
    • Maxima/minima
    • Graphing
    • Write a polynomial function given its roots

    Piecewise Functions

    • Write a piecewise function

    Number Sets

    • Natural, whole, integer, rational, irrational, real

    Solving Systems of Equations

    • Solving systems (two and three variables)
    • Classify systems (inconsistent and consistent, independent and dependent)
    • Vertical Line Test

    Exponent Rules

    • Exponent rules

    Complex Numbers

    • Operations with complex numbers

    Linear Programming

    • Linear programming

    Transformations

    • Describe transformations

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    Description

    Prepare for your Honors Algebra II midterm with this comprehensive review covering chapters 1-5. Topics include equations, inequalities, linear functions, quadratic functions, polynomial functions, and number sets. Assess your understanding through various problem-solving techniques and function analyses.

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