Simplify by combining like terms: 3u + 9x + 6u + 2x. Enter the number that goes in the green box for the coefficient of x.
Understand the Problem
The question prompts us to simplify an expression by combining like terms, specifically focusing on the coefficients for the variable x. We are tasked with finding the total coefficient for x in the given expression.
Answer
11
Answer for screen readers
The number that goes in the green box is 11.
Steps to Solve
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Identify Like Terms Recognize the like terms in the expression: the terms with $u$ and the terms with $x$.
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Combine u Terms Add the coefficients of the $u$ terms. $$ 3u + 6u = 9u $$
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Combine x Terms Now focus on the $x$ terms. Add the coefficients of the $x$ terms together. $$ 9x + 2x = (9 + 2)x = 11x $$
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Write the Final Expression Combine the results from the previous steps into the simplified expression: $$ 9u + 11x $$
The number that goes in the green box is 11.
More Information
Combining like terms is a fundamental skill in algebra that helps simplify expressions. The total coefficients for $x$ came from simply adding the coefficients together.
Tips
- Forgetting to combine the coefficients properly for each variable.
- Mixing up the variables, leading to incorrect additions or simplifications.
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