EOC Algebra 1 Study Cards

Questions and Answers

What does the equation $y=mx+b$ represent?

Point-Slope form

Function

Linear equation (correct)

Arithmetic Sequence

What is the formula for Slope?

Rise over Run

What is the formula for the nth term of an Arithmetic Sequence?

An=A₁+(n-1)d

What is the Point-Slope form of an equation?

y-y₁=m(x-x₁) Signup and view all the answers

A function cannot have an arrow that splits.

True Signup and view all the answers

What is the characteristic of a Linear Function?

Both have a common difference in X and Y. Signup and view all the answers

What type of line is represented by the equation $x=3$?

Vertical line Signup and view all the answers

What does the equation $y=2$ represent?

Horizontal line Signup and view all the answers

Match the following terms with their definitions:

Domain = Input Range = Output Independent = Input variable Dependent = Output variable Signup and view all the answers

What is the purpose of a Line of Fit?

To connect the middle dots in a scatter plot. Signup and view all the answers

What is the equation for Direct Variation?

y=kx Signup and view all the answers

How can you determine a Direct Variation?

By using a table to check if $rac{y}{x}$ is consistent. Signup and view all the answers

What is a system of equations?

Two equations that share one ordered pair. Signup and view all the answers

What do the 'Betweensies' refer to?

<h1>≤ x ≤ #, # ≤ y ≤</h1> Signup and view all the answers

Study Notes

Linear Equations and Functions

Equation of a line: y = mx + b, where m represents the slope and b represents the y-intercept.
Slope is defined as the ratio of rise (change in Y) over run (change in X).
Point-slope form of a line: y - y₁ = m(x - x₁), requiring a known point (x₁, y₁) and slope (m).

Arithmetic Sequences

General formula: Aₙ = A₁ + (n - 1)d, where A₁ is the first term, d is the common difference, and n is the term number.
Example: In the sequence 3, 5, 7, 9..., A₅₀ = 3 + (50 - 1)2 = 101.

Functions and Their Properties

A function is defined by a mapping where arrows cannot split; this can be assessed using the vertical line test.
A linear function maintains a consistent common difference in both X and Y values.
Direct variation is expressed as y = kx, indicating a proportional relationship with no y-intercept.

Types of Lines

Vertical lines take the form x = constant, representing all points where x equals the constant, thus not considered a function.
Horizontal lines take the form y = constant and are classified as functions, where all y values remain the same.

Systems of Equations

A system consists of two equations that share a common ordered pair.
Methods to solve include substitution and elimination.

Additional Concepts

"Betweensies" are expressed as #≤x≤# and #≤y≤#, defining constraints within a specified range.
Lines of fit in scatter plots connect central dots to illustrate trends.

Description

Test your knowledge of key algebra concepts with these study cards. Each card includes important definitions and formulas related to algebra, such as the slope-intercept form and arithmetic sequences. Perfect for students preparing for end-of-course assessments in Algebra 1.