Pregunta
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MM. 2 Write variable expressions: word problems E2M 4)) [xA, Nathan lives 8 blocks from school. He just left school and walked \( b \) blocks toward home. Choose the expression that shows the number of blocks remaining. Submit \( b-8 \) \( 8+b \)

Ask by Wood Goodwin. in the United States
Feb 07,2025

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The number of blocks remaining is \( 8 - b \).

Solución

To solve the problem, we need to express the number of blocks Nathan has remaining to walk home after he has already walked \( b \) blocks toward home. 1. **Known Conditions:** - Nathan lives 8 blocks from school. - He has walked \( b \) blocks toward home. 2. **Understanding the Problem:** - Initially, Nathan has 8 blocks to walk home. - After walking \( b \) blocks, the remaining distance to home can be calculated by subtracting the blocks he has already walked from the total distance. 3. **Formulating the Expression:** - The expression for the number of blocks remaining to walk home is: \[ \text{Remaining blocks} = 8 - b \] 4. **Choosing the Correct Expression:** - The options provided were \( b - 8 \) and \( 8 + b \). - Neither of these options correctly represents the remaining blocks. The correct expression is \( 8 - b \). Thus, the correct expression for the number of blocks remaining is \( 8 - b \).

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The Deep Dive

To find the number of blocks Nathan has remaining to walk home, we start with the total distance he needs to cover, which is 8 blocks. If he has walked \( b \) blocks towards home, we need to subtract that from the total. Therefore, the correct expression representing the blocks remaining is \( 8 - b \). Watch out for common mistakes! A frequent error is confusing the direction of the walk. Makes sure to remember whether you're adding to or subtracting from the total, as getting this wrong can lead to inaccurate solutions that are far off from reality!

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