What are the solutions of the quadratic equation $$x^2 - 5x + 6 = 0$$ ?

The solutions are $$x = 3$$ or $$x = 2$$ .

What is the discriminant of a quadratic equation?

The discriminant is given by $$D = b^2 - 4ac$$ and determines the nature of the roots.

How do you find the vertex of a parabola given by the equation $$y = ax^2 + bx + c$$ ?

The vertex can be found using the formula $$x = -\frac{b}{2a}$$ .

What is the difference between a function and a relation?

A function is a relation where each input has exactly one output.

Define imaginary unit i.

The imaginary unit i is defined as $$i = \sqrt{-1}$$ .

What is synthetic division?

Synthetic division is a simplified method of dividing a polynomial by a linear binomial.

What is the standard form of a quadratic equation?

The standard form is $$y = ax^2 + bx + c$$ .

What does it mean for a function to be one-to-one?

A function is one-to-one if it never assigns the same value to two different domain elements.

How do you determine if a quadratic function opens upwards or downwards?

If $$a > 0$$ , the parabola opens upwards; if $$a

Algebra 2 Midterm Review 2025 Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Simplify the expression: (7 + 2i)(9 - 6i)

Back

The simplified expression is 75 - 24i.

3.

FLASHCARD QUESTION

Front

Determine if the following graph represents a function: (insert graph here)

Back

The graph is a Function.

4.

FLASHCARD QUESTION

Front

Back

The simplified result is -i.

5.

FLASHCARD QUESTION

Front

Perform synthetic division on (2x³ + 4x² - 5) by (x + 3).

Back

The result is 2x² - 2x + 6 with a remainder of -23.

6.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

7.

FLASHCARD QUESTION

Front

Define a polynomial function.

Back

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