25 Questions
100 Views

# Algebra 1 EOC Review Flashcards

Created by
@IllustriousHoneysuckle

### What is a relation?

Set of ordered pairs

(x,y)

### What is a coordinate plane?

A plane formed by 2 perpendicular lines called axes

### What is a function?

<p>A special relation where each x-value is paired with only one y-value.</p> Signup and view all the answers

### What does a Mapping Diagram represent?

<p>Bubbles that represent the x-values and the y-values.</p> Signup and view all the answers

### What is a Table in mathematics?

<p>A way to represent ordered pairs.</p> Signup and view all the answers

### What is the domain in a function?

<p>Set of all of the possible x-values.</p> Signup and view all the answers

### What is the range in a function?

<p>Set of all the possible y-values.</p> Signup and view all the answers

### What is a variable?

<p>Not a number; a letter or symbol that stands for a number.</p> Signup and view all the answers

### What is an independent variable?

<p>The input or cause in a situation or problem.</p> Signup and view all the answers

### What is a dependent variable?

<p>The output or result in a situation or problem.</p> Signup and view all the answers

### What is the vertical line test?

<p>A relation is a function if a vertical line drawn through the graph touches the graph only once.</p> Signup and view all the answers

### What does the slope represent?

<p>The steepness of a line.</p> Signup and view all the answers

### In the equation y = mx + b, 'm' stands for __________.

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

### In the equation y = mx + b, 'b' stands for __________.

<p>the y-intercept</p> Signup and view all the answers

### What is the difference between a whole number and an integer?

<p>Whole numbers start at 0 while integers include all positive and negative numbers.</p> Signup and view all the answers

### The slopes of parallel lines are different.

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

### What is the solution of a system of equations?

<p>Where the lines touch or cross.</p> Signup and view all the answers

### What do you call a data point that does not fit in with the rest of the data?

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

### What is the maximum or minimum in a box and whisker plot?

<p>The largest and smallest numbers shown.</p> Signup and view all the answers

### What is the geometric sequence?

<p>A pattern in which you multiply or divide by a common number.</p> Signup and view all the answers

### What is the arithmetic sequence?

<p>A pattern in which you add a number each time.</p> Signup and view all the answers

### When multiplying fractions, you should __________.

<p>Cancel or reduce if possible, then multiply straight across.</p> Signup and view all the answers

### How do you convert an improper fraction to a mixed number?

<p>Determine how many times the denominator goes into the numerator, then note the remainder.</p> Signup and view all the answers

## Study Notes

### Algebraic Concepts and Definitions

• Relation: A set of ordered pairs.
• Ordered Pair: Represents coordinates of a point in the coordinate plane, denoted as (x, y).
• Coordinate Plane: Formed by two perpendicular lines called axes; x-axis (horizontal) and y-axis (vertical).
• Function: A specific relation where each x-value is linked to only one y-value; it must pass the vertical line test.
• Mapping Diagram: Visual representation where bubbles represent corresponding x-values and y-values.

### Key Components

• Domain: The set of all possible x-values (inputs) in a function.
• Range: The set of all possible y-values (outputs) in a function.
• Variable: A letter or symbol representing a number; not a fixed number.
• Independent Variable: The input in a function, often represented as x; controlled by the user.
• Dependent Variable: The output in a function, represented as y; cannot be controlled by the user.
• Other Names: x can be referred to as domain, independent variable, or input; y can be known as range, dependent variable, or output.

### Functions and Tests

• Vertical Line Test: A graphical method for determining if a relation is a function; a vertical line must intersect the graph at most once.
• Discrete Function: Data represented by individual points on a graph; cannot be broken down further.
• Examples of Functions: Linear functions, quadratic functions, and inverse functions.

### Slope and Intercepts

• Slope (m): Indicates the steepness of a line; calculated as the change in y (rise) divided by the change in x (run).
• Y-intercept (b): The point where a line crosses the y-axis, represented as (0, y).
• Slope of Horizontal Line: Always equal to 0.
• Slope of Vertical Line: Undefined.

### Equations and Inequalities

• Slope-Intercept Form: Represents a line as y = mx + b.
• Linear Inequality: Similar to linear equations but includes symbols like <, > for inequalities.
• System of Equations: Two or more equations graphed on the same plane; can have no solution, one solution, or infinitely many solutions.

### Special Terms and Properties

• Factoring: Breaking down expressions into simpler factors.
• Like Terms: Terms in an expression that have the same variables raised to the same exponents.
• Combining Like Terms: Involves adding their coefficients.
• Associative, Distributive, and Commutative Properties: Rules governing operations in math.

### Data and Statistics

• Mean (Average): Total of data points divided by the number of points.
• Median: Middle value when data is ordered; average of two middle values if needed.
• Mode: The most frequently occurring number in a data set.
• Range: Difference between the largest and smallest value in a data set.

### Fraction and Decimal Operations

• Adding/Subtracting Fractions: Requires a common denominator.
• Multiplying Fractions: Multiply numerators together and denominators together, then simplify if possible.
• Dividing Fractions: Use the "Keep, Change, Flip" method.
• Converting Between Fractions and Decimals: Divide numerator by the denominator or recognize decimal places.

### Graphs and Visuals

• Histograms: Bar graph showing frequency distribution across value ranges.
• Box and Whisker Plots: Visual representation showing median, quartiles, and potential outliers.

### Miscellaneous Concepts

• Maximum/Minimum: Highest and lowest values in data representation like box plots.
• Percent Conversion: Understanding how to convert between decimal, fraction, and percentage forms.
• Perfect Squares: Results of integers multiplied by themselves. Examples include 1, 4, 9, 16, etc.

### Final Notes

• Solving Proportions: Involves cross-multiplication.
• Radicals: Refers to square roots; methods of simplifying need careful attention to detail.
• Standard Form of a Line: Written as Ax + By = C; requires no fractions or decimals with A positive.

## Studying That Suits You

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

## Description

Review essential algebra concepts with these flashcards. Each card includes a term related to relations, ordered pairs, the coordinate plane, and functions. Enhance your understanding and prepare effectively for the EOC exam!

## More Quizzes Like This

14 questions
6 questions
10 questions
Use Quizgecko on...
Browser
Information:
Success:
Error: