21 Questions
100 Views

# Algebra 2 Midterm Formulas Flashcards

Created by
@SkilledAzalea

### 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)

Ax + By = C

### What does 'c*' represent?

<p>(B/2)²</p> Signup and view all the answers

### What is the slope equation?

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

### What is the slope-intercept form of a line?

<p>y = mx + b</p> Signup and view all the answers

### What is the discriminant formula?

<p>b² - 4ac</p> Signup and view all the answers

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

<p>^ |</p> Signup and view all the answers

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

<p>| /</p> Signup and view all the answers

### What is the representation of an absolute value graph?

<p>|/</p> 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?

<p>&lt; -</p> Signup and view all the answers

### What is set notation represented as?

<p>{x | x &gt; b}</p> Signup and view all the answers

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

<p>all real numbers</p> Signup and view all the answers

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

<p>/</p> Signup and view all the answers

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

<p>down</p> Signup and view all the answers

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

<p>vertex @ (h, k)</p> Signup and view all the answers

### What does x/0 represent?

<p>undefined; vertical</p> Signup and view all the answers

### What does 0/x represent?

<p>horizontal</p> 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

( 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.

• 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.

## Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

## 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.

## More Quizzes Like This

Use Quizgecko on...
Browser
Information:
Success:
Error: