Division Property of Equality
Apply the division property of equality to solve one-step equations in Grade 9 Algebra. Divide both sides by the same nonzero value to isolate the variable.
Key Concepts
Property Both sides of an equation can be divided by the same number, and the statement will still be true. If $a=b$, then $\frac{a}{c} = \frac{b}{c}$ (where $c \ne 0$).
Examples To solve $5x = 20$, divide both sides by 5: $\frac{5x}{5} = \frac{20}{5}$, which simplifies to $x = 4$. In the equation $ 12 = 3n$, divide both sides by 3: $\frac{ 12}{3} = \frac{3n}{3}$, which gives you $ 4 = n$.
Explanation Just like with multiplying, you have to keep things fair and balanced! If you divide one side of your equation by a number, you must do the exact same thing to the other side. This ensures your equation stays equal, helping you march steadily toward finding the value of your hidden variable.
Common Questions
What is Division Property of Equality in Grade 9 Algebra?
This skill covers Division Property of Equality in Grade 9 Algebra. Mastering this concept builds a foundation for advanced algebra topics.
How do you approach Division Property of Equality problems step by step?
Practice Division Property of Equality with step-by-step examples. Use this method consistently to avoid common errors.
What is a common mistake when studying Division Property of Equality?
Mastering Division Property of Equality builds a strong algebra foundation. Always check your work by substituting back into the original problem.