Algebra 2 Midterm Formulas Flashcards

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Questions and Answers

What is the quadratic formula?

x=-b±[√b²-4ac]/2(a) (correct)

-b±[√b²-4ac] (correct)

x=-b/[2(a)]

2a+b

What is the point-slope form of a line?

y - y1 = m(x - x1)

What is the standard form of a linear equation?

Ax + By = C

What does 'c*' represent?

(B/2)² Signup and view all the answers

What is the slope equation?

(y2 - y1)/(x2 - x1) Signup and view all the answers

What is the slope-intercept form of a line?

y = mx + b Signup and view all the answers

What is the discriminant formula?

b² - 4ac Signup and view all the answers

What does a greater than (>) graph point resemble?

^ | Signup and view all the answers

What does a less than (<) graph point resemble?

| / Signup and view all the answers

What is the representation of an absolute value graph?

|/ Signup and view all the answers

How is the 'greater than or equal to' notation represented?

<blockquote> <ul> <li></li> </ul> </blockquote> Signup and view all the answers

How is the 'less than or equal to' notation represented?

< - Signup and view all the answers

What is set notation represented as?

{x | x > b} Signup and view all the answers

What does interval notation (-∞, ∞) indicate?

all real numbers Signup and view all the answers

If the slope (m) is greater than 0, how is the line oriented?

/ Signup and view all the answers

If the slope (m) is less than 0, how is the line shaded?

down Signup and view all the answers

What does the equation y = a|x - h| + k represent?

vertex @ (h, k) Signup and view all the answers

What does x/0 represent?

undefined; vertical Signup and view all the answers

What does 0/x represent?

horizontal Signup and view all the answers

What does the symbol / indicate in relation to absolute value?

<ul> <li></li> </ul> Signup and view all the answers

What does the symbol /\ indicate in relation to absolute value?

<ul> <li></li> </ul> Signup and view all the answers

Study Notes

Quadratic Functions

Quadratic formula:
( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} )
Discriminant:
( b^2 - 4ac ); determines the nature of the roots of a quadratic equation.

Linear Functions

Point-slope form:
( y - y_1 = m(x - x_1) ); used to write the equation of a line given a point and slope.
Standard form:
( Ax + By = C ); where A, B, and C are integers, often used for easier identification of intercepts.
Slope-intercept form:
( y = mx + b ); where m is the slope and b is the y-intercept of the line.
Slope equation:
( \frac{y_2 - y_1}{x_2 - x_1} ); calculates the slope between two points.

Graphing Inequalities

Graphing ( y > k ): Curve opens upwards indicating the region above a line.
Graphing ( y < k ): Curve opens downwards indicating the region below a line.
Greater than or equal to (≥): Includes solid line and shaded above.
Less than or equal to (≤): Includes solid line and shaded below.

Absolute Value Functions

Absolute value graph represented as V-shape (|/); the vertex indicates the minimum or maximum point of the graph.
Equation format ( y = a|x - h| + k ); vertex occurs at point (h, k).

Set and Interval Notation

Set notation example: ( { x | x > b } ); describes a set of values x greater than b.
Interval notation: ( (-\infty, \infty) ); represents all real numbers, often used to express the domain or range.

Undefined and Horizontal Lines

Division by zero results in undefined; indicates a vertical line.
Any number divided by zero results in a horizontal line at y = 0.

Additional Notes

If slope (m) is >0: line is inclined upwards (/).
If slope (m) is <0: line is inclined downwards ().
For conditions involving absolute value:
- Downward-pointing curve represents negative slopes.
- Upward-pointing curve represents positive slopes.

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Description

Test your knowledge of essential Algebra 2 formulas with these flashcards. Each card contains a key formula and its definition for quick and effective study. Perfect for preparing for your midterm exam.