College Algebra: Section 1.5b (Packet #10)
By the end of the section, you should be able to:
- Solve equations in terms of another variable or variables.
- Solve real world problems using linear equations (specifically distance and interest problems)
Definitions:
- Solving for a variable: transform the equation into an equivalent one, in which the specified variable I isolated on one side of the equation.
- Distance formula: d = r*t
- Where d is the distance traveled at rate r for time t.
- Interest Formula (simple not compound): I = P*r*t
- Where I is the interest earned on Principle P invested at rate r for time t.
Solving Equations for Different Variables
🎥Examples 1&2
🎥Examples 1&2
Things to remember about solving equations for different variables:
- Look at the operation that connects two terms/factors. Then use the opposite operation to move that term/factor to the other side.
- Usually, you start with addition/subtraction then do multiplication/division to get variable by themselves.
- When solving in terms of a variable, that is the variable that is not isolated (by itself).
Absolute Value Notation
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