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 (D)</p> Signup and view all the answers

What does the discriminant value of a quadratic function indicate?

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

Flashcards

Axis of symmetry

A line that cuts a parabola in half, passing through its vertex.

Vertex

The highest or lowest point on a parabola. It's the point where the graph changes direction.

Quadratic Formula

A formula that can be used to find the solutions (x-intercepts) of a quadratic equation.

End Behavior

A way to describe the behavior of a polynomial function as x approaches positive or negative infinity.

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Rational Numbers

Numbers that can be written as a fraction (p/q), where p and q are integers and q is not zero.

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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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