What does it mean for two lines to be parallel?

Two lines are parallel if they have the same slope and will never intersect.

What does it mean for two lines to be perpendicular?

Two lines are perpendicular if the product of their slopes is -1.

How do you find the x-intercept of a line given in slope-intercept form?

Set y = 0 in the equation and solve for x.

What is the standard form of a linear equation?

The standard form is $$Ax + By = C$$ , where A, B, and C are integers.

What is the quadratic formula?

The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ for the equation $$ax^2 + bx + c = 0$$ .

What is the difference between a real number and an imaginary number?

A real number can be found on the number line, while an imaginary number is a multiple of the imaginary unit i, where $$i = \sqrt{-1}$$ .

What is the significance of the discriminant in a quadratic equation?

The discriminant $$b^2 - 4ac$$ determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, two complex roots.

What is the vertex form of a quadratic function?

The vertex form is $$y = a(x-h)^2 + k$$ , where (h, k) is the vertex of the parabola.

TTCM Midterm Open Ended Review Flashcards

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16 questions

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1.

FLASHCARD QUESTION

Front

Back

x = -4, 12

2.

FLASHCARD QUESTION

Front

Back

-20 - 48i

3.

FLASHCARD QUESTION

Front

Back

4

4.

FLASHCARD QUESTION

Front

Back

-1/4

5.

FLASHCARD QUESTION

Front

Back

(6,0)

6.

FLASHCARD QUESTION

Front

Define the slope of a line.

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

7.

FLASHCARD QUESTION

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

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