1. Write equations in the standard form: y = mx + b
- Where y represents the dependent variable, x represents the independent variable, m is the slope, and b is the y-intercept.
2. Use parentheses to group terms in an equation: y = 2(3x + 5) - 4
- This will help clarify the order of operations and make the equation easier to read and understand.
3. Follow the rules of PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) when simplifying equations.
- For example, simplify 2(3x + 5) - 4 by distributing the 2 first, then subtracting 4 from the result.
4. Keep equations balanced: What you do to one side of the equation, you must do to the other.
- For example, if you add 5 to one side of the equation, you must also add 5 to the other side to maintain equality.
5. Avoid dividing by zero: Division by zero is undefined in mathematics and can lead to errors in your calculations.
- Make sure to check your equations for potential division by zero before solving.
6. Use proper notation for variables and constants in equations: Use letters for variables and numbers for constants.
- For example, use a for the acceleration of an object and 9.8 for the acceleration due to gravity.
7. Check your work: After solving an equation, plug your solution back into the original equation to verify its accuracy.
- This will help catch any mistakes you may have made during the solving process.
Writing Rules with Equations Unit
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