1. Algebra Basics
● Variables: Letters that represent unknown values (e.g., x, y).
● Expressions: Mathematical phrases with numbers and variables (e.g., 3x + 2).
● Equations: A statement that two expressions are equal (e.g., 3x + 2 = 11).
● Solving Equations:
○ Use inverse operations.
○ Keep equations balanced.
○ Example:
3x + 2 = 11
Subtract 2: 3x = 9
Divide by 3: x = 3
2. Linear Equations and Functions
● Slope-intercept form: y = mx + b
○ m = slope
○ b = y-intercept
● Graphing: Plot the y-intercept, then use the slope to find other points.
● Finding slope: m = (y2 - y1) / (x2 - x1)
3. Systems of Equations
● Two or more equations with multiple variables.
● Methods to solve:
○ Graphing
○ Substitution
● Variables: Letters that represent unknown values (e.g., x, y).
● Expressions: Mathematical phrases with numbers and variables (e.g., 3x + 2).
● Equations: A statement that two expressions are equal (e.g., 3x + 2 = 11).
● Solving Equations:
○ Use inverse operations.
○ Keep equations balanced.
○ Example:
3x + 2 = 11
Subtract 2: 3x = 9
Divide by 3: x = 3
2. Linear Equations and Functions
● Slope-intercept form: y = mx + b
○ m = slope
○ b = y-intercept
● Graphing: Plot the y-intercept, then use the slope to find other points.
● Finding slope: m = (y2 - y1) / (x2 - x1)
3. Systems of Equations
● Two or more equations with multiple variables.
● Methods to solve:
○ Graphing
○ Substitution
