Solve the inequality: $$-9 \le 4y - 3 \le 13$$

The solution is $$-1.5 \le y \le 4$$ .

What is 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 does the discriminant of a quadratic equation tell us?

The discriminant $$D = b^2 - 4ac$$ indicates the nature of the roots: D > 0 (two real roots), D = 0 (one real root), D

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

The slope m is calculated as $$m = \frac{y2 - y1}{x2 - x1}$$ .

What is the formula for the area of a triangle?

The area A of a triangle is given by $$A = \frac{1}{2} \times base \times height$$ .

What is the difference between a function and a relation?

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

What is the quadratic formula?

The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What is the axis of symmetry for a parabola given by the equation $$y = ax^2 + bx + c$$ ?

The axis of symmetry is the vertical line $$x = -\frac{b}{2a}$$ .

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 as (0, b) in the equation $$y = mx + b$$ .

Final Exam Review Algebra II Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Solve the equation: 5(x-8) - 3(2x+12) = -84

Back

The solution is x = 8.

3.

FLASHCARD QUESTION

Front

Back

The width of the tent at its base is 10 feet.

4.

FLASHCARD QUESTION

Front

If the area of a square garden is 81 square meters, what is the length of fencing needed?

Back

The length of fencing needed is 36 meters.

5.

FLASHCARD QUESTION

Front

Back

The parabola has an axis of symmetry at x=1 (this statement is not true).

6.

FLASHCARD QUESTION

Front

Define a linear equation.

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one.

7.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

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