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4) Match each equation with the problem it represents. (4)) 4 more than the product of 9 and a number is 36 . (4)) 9 times the sum of a number and 4 is 36 . 4 times the sum of a number and 9 is 36 . (4) 9 subtracted from the product of 4 and a number is 36 . (4) \( 9 n+4=36 \) (n+4) \( =36 \) (n) (n)

Ask by Powell Graham. in the United States
Jan 27,2025

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Tutor-Verified Answer

Answer

1. \(9n + 4 = 36\) - 4 more than the product of 9 and a number is 36. 2. \(9(n + 4) = 36\) - 9 times the sum of a number and 4 is 36. 3. \(4(n + 9) = 36\) - 4 times the sum of a number and 9 is 36. 4. \(4n - 9 = 36\) - 9 subtracted from the product of 4 and a number is 36.

Solution

To match each equation with the problem it represents, we need to analyze each equation and determine which problem it corresponds to. 1. 4 more than the product of 9 and a number is 36: - This can be represented as \(9n + 4 = 36\), where \(n\) is the number. 2. 9 times the sum of a number and 4 is 36: - This can be represented as \(9(n + 4) = 36\), where \(n\) is the number. 3. 4 times the sum of a number and 9 is 36: - This can be represented as \(4(n + 9) = 36\), where \(n\) is the number. 4. 9 subtracted from the product of 4 and a number is 36: - This can be represented as \(4n - 9 = 36\), where \(n\) is the number. Therefore, the equations and the problems they represent are: 1. \(9n + 4 = 36\) - 4 more than the product of 9 and a number is 36. 2. \(9(n + 4) = 36\) - 9 times the sum of a number and 4 is 36. 3. \(4(n + 9) = 36\) - 4 times the sum of a number and 9 is 36. 4. \(4n - 9 = 36\) - 9 subtracted from the product of 4 and a number is 36.

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Bonus Knowledge

When we talk about equations and their representation, it's essential to see how they connect to real-world scenarios. For example, “4 more than the product of 9 and a number is 36” can be visualized as a situation where you need to figure out how much more you have when you take a number, multiply it by 9, and then add 4. It’s all about setting up a practical calculation! Now, let’s talk about some common pitfalls! When setting up equations, be careful with the order of operations. Mistakes often happen if you forget to distribute correctly or misinterpret what "more than" or "subtracted from" really means. Always translate statements clearly, setting the equation correctly as it will save you from a lot of confusion down the road!

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