Algebra 1

Linear Regressions with Desmos

Inequalities

Systems of Equations

Solve vs Simplify

Radicals

Exponent Rules

GEMDAS

Factoring

Writing a Linear Equation

Video Resources are linked in the speaker notes

Writing a Linear Equation

Slope intercept form:

Slope:

How to solve for…

y-intercept:

1) From a graph: Look at where the line crosses the y-axis

OR

2) Plug in a point (x,y) the graph goes through into the equation y=mx+b and solve for b

Or…

Example 1:

Example 2:

A line passes through the points (-1,1) and (2,10)

m = rise

run

Solve vs Simplify

SOLVE

Making expressions smaller using GEMDAS

Getting the variable by itself

SIMPLIFY

Example: Solve the Equation 9x+2 = 4x+22

Example: Simplify the Expression (3x+5) + (14x+6)

Factoring

GEMDAS

Example:

3² + 2 (8-2) - 3

Exponent Rules

Example 1 :

x³ · x⁵

x³⁺⁵

x⁸

Example 2 :

x^-4

1

x⁴

Example 3 :

(x⁴)³

x¹²

Inequalities

Graph with DESMOS!

Radicals

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Linear Regression with Desmos

Systems of Equations