What is the solution to the equation $$2x^3 - 12x^2 + 18x = 0$$ ?

The solutions are $$x = 0$$ and $$x = 3$$ .

Solve the equation using the quadratic formula: $$x^2 + 4x = -13$$ .

The solutions are $$x = -2 \pm 3i$$ .

What is the square root of $$-96$$ ?

The square root is $$4i \sqrt{6}$$ .

What does it mean for a point to be a solution to a system of inequalities?

A point is a solution if it satisfies all inequalities in the system.

What is the discriminant in a quadratic equation?

The discriminant is given by $$b^2 - 4ac$$ 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 at $$x = -\frac{b}{2a}$$ .

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

A linear equation is of the form $$y = mx + b$$ , while a quadratic equation is of the form $$y = ax^2 + bx + c$$ .

What is a system of equations?

A system of equations is a set of two or more equations with the same variables.

What does it mean for a function to be increasing?

A function is increasing if, for any two points $$x_1

What is the significance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, represented by the value of $$b$$ in the equation $$y = mx + b$$ .

What is the process for factoring a quadratic equation?

To factor a quadratic equation, find two numbers that multiply to $$ac$$ and add to $$b$$ , then rewrite the equation.

Alg. 2 Semester Exam Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Back

No, it is not a solution.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

True or False: There is only one way to draw a line of best fit.

Back

False.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

7.

FLASHCARD QUESTION

Front

Define a complex number.

Back

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