What is the formula to find the roots of a quadratic equation?

The roots can be found using the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

How do you find the slope between two points (x1, y1) and (x2, y2)?

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

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 is the definition of a function?

A function is a relation that assigns exactly one output for each input.

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

A linear function has a degree of 1 and graphs as a straight line, while a quadratic function has a degree of 2 and graphs as a parabola.

What is the vertex form of a quadratic function?

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

How do you determine if a function is increasing or decreasing?

A function is increasing if its derivative is positive and decreasing if its derivative is negative.

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 $$y = mx + b$$ .

ACT Prep (Math) Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

11

Tags

CCSS.HSF-BF.A.1C

2.

FLASHCARD QUESTION

Front

Back

-2.5

Tags

CCSS.8.EE.C.7B

3.

FLASHCARD QUESTION

Front

Back

2

4.

FLASHCARD QUESTION

Front

Back

-1

Tags

CCSS.HSA.APR.B.3

5.

FLASHCARD QUESTION

Front

Back

16

Tags

CCSS.7.RP.A.3

6.

FLASHCARD QUESTION

Front

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

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

7.

FLASHCARD QUESTION

Front

Define a quadratic function.

Back

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