What is the vertex form of a quadratic function?

$$f(x) = a(x-h)^2 + k$$ , where (h, k) is the vertex.

What is the discriminant of a quadratic equation?

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

What are the roots of a polynomial?

The roots are the values of $$x$$ for which the polynomial equals zero.

What is the slope-intercept form of a linear equation?

$$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

What is factoring in algebra?

Factoring is the process of breaking down an expression into simpler components that, when multiplied together, give the original expression.

Algebra 2 Midterm Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Simplify: $4(3i-2)-2i(1+i)$

Back

-6 + 10i

2.

FLASHCARD QUESTION

Front

State the y-intercept and zeros of $f(x)=2x^2-3x-2$

Back

Y-intercept: (0, -2); Zeros: (2, 0) and (-0.5, 0)

3.

FLASHCARD QUESTION

Front

Simplify: $\sqrt[]{-40}$

Back

2i√10

4.

FLASHCARD QUESTION

Front

A system of equations with one solution is called a(n) ________ system.

Back

consistent

5.

FLASHCARD QUESTION

Front

What is the statement of the Zero Product Property?

Back

If $ab = 0$ , then $a = 0$ or $b = 0$ .

6.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$

7.

FLASHCARD QUESTION

Front

Define a polynomial function.

Back

A function that can be expressed in the form $f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0$ where $a_n, a_{n-1}, ..., a_0$ are constants.

8.

FLASHCARD QUESTION

Front

What is the difference between a linear and a quadratic function?

Back

A linear function has the form $f(x) = mx + b$ , while a quadratic function has the form $f(x) = ax^2 + bx + c$ .

9.

FLASHCARD QUESTION

Front

What does it mean for a function to be even?

Back

A function is even if $f(-x) = f(x)$ for all $x$ in the domain.

10.

FLASHCARD QUESTION

Front

What does it mean for a function to be odd?

Back

A function is odd if $f(-x) = -f(x)$ for all $x$ in the domain.

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