I have doubt in algebra. y = 50+0.2(x-400) next step is y = 50+0.2x-80 or y = 50+(x/5)-80?

To clarify your doubt in algebra, let's break down the expression step-by-step.

Given equation:
\[ y = 50 + 0.2(x - 400) \]

First, distribute the 0.2 across the terms inside the parentheses:
\[ y = 50 + 0.2 \cdot x - 0.2 \cdot 400 \]

Now, calculate the multiplication:
\[ y = 50 + 0.2x - 80 \]

So, the correct next step is:
\[ y = 50 + 0.2x - 80 \]

Hence, the simplified form is:
\[ y = 0.2x - 30 \]

The expression \( y = 50 + (x/5) - 80 \) is incorrect because it misinterprets the distribution of 0.2.

Would you like more details or have any other questions?

Here are 5 questions you might want to ask next:
1. How do you simplify algebraic expressions involving parentheses and coefficients?
2. Can you explain how to solve linear equations step by step?
3. What are common mistakes to avoid when simplifying algebraic expressions?
4. How do you factorize quadratic equations?
5. Can you explain the difference between linear and quadratic equations?

**Tip:** When distributing a coefficient over a parenthesis, ensure to multiply each term inside the parenthesis by the coefficient.

Learn how to simplify algebraic expressions step-by-step with a detailed explanation of distributing coefficients and simplifying terms. This problem involves applying the distributive property correctly in algebraic equations. Suitable for students in Grades 7-9.

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