Here are the step-by-step solutions for the math problems on the worksheet.
1. Brendel's Homework
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Problem: Brendel has 247 math problems to do. He finished 139 of them before dinner. How many must he do after dinner?
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Step 1: Take the total number of problems (247) and subtract the ones he already did (139).
* $247 - 139 = ?$
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Calculation:
* $7 - 9$ requires borrowing. Borrow from the tens place (4 becomes 3, 7 becomes 17). $17 - 9 = 8$.
* $3 - 3 = 0$.
* $2 - 1 = 1$.
* The answer is 108.
2. Mr. Simmons' Beads
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Problem: Mr. Simmons bought a bag with 156 pieces. He found 14 more loose pieces. How many does he have in all?
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Step 1: Add the beads in the bag (156) to the loose beads (14).
* $156 + 14 = ?$
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Calculation:
* $6 + 4 = 10$ (write down 0, carry over 1).
* $5 + 1 + 1 \text{ (carry)} = 7$.
* $1 + 0 = 1$.
* The answer is 170.
3. Net Usage Time
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Problem: You spent 17 hours on the Internet last month. This month you used it for 8 hours. What is the total time?
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Step 1: Add last month's hours (17) to this month's hours (8).
* $17 + 8 = ?$
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Calculation:
* $7 + 8 = 15$ (write down 5, carry over 1).
* $1 + 1 \text{ (carry)} = 2$.
* The answer is 25.
4. Harris Middle School Band
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Problem: There are 120 students in the band. If 8 play string instruments, how many play non-string instruments?
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Step 1: Subtract the string players (8) from the total students (120).
* $120 - 8 = ?$
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Calculation:
* $120 - 8 = 112$.
* The answer is 112.
5. Play Wordsheets
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Problem: If 6 plays use wordsheets, how many wordsheets are needed?
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Step 1: Look at the rule in the top right box: "If they need wordsheets, 13 play the script." This means 1 script per play.
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Calculation:
* 6 plays $\times$ 13 scripts each = $6 \times 13$.
* $6 \times 10 = 60$.
* $6 \times 3 = 18$.
* $60 + 18 = 78$.
* The answer is 78.
6. Mrs. Waldron's Ribbons
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Problem: Each decoration needs a 7-inch long ribbon. She has 24 meters of ribbon. Can she make 7 decorations?
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Step 1: Calculate the total length needed for 7 decorations.
* $7 \text{ decorations} \times 7 \text{ inches} = 49 \text{ inches}$.
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Step 2: Compare inches to meters.
* We know that 1 meter is approximately 39.37 inches (or roughly 39-40 inches).
* Therefore, 24 meters is much, much larger than 49 inches. Even just 2 meters would be enough ($2 \times 39 = 78$ inches).
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Conclusion: Yes, she has plenty of ribbon.
7. PTA Tulip Bulbs
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Problem: The PTA donated 720 bulbs. They want to plant them along both sides of the school. Will there be an equal amount on each side?
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Step 1: To split something equally between two sides, the total number must be divisible by 2 (an even number).
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Step 2: Check if 720 is even.
* The last digit is 0, which makes it an even number.
* $720 \div 2 = 360$.
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Conclusion: Yes, because 720 is an even number, it can be divided exactly in half.
Final Answer:
1. 108 problems
2. 170 pieces
3. 25 hours
4. 112 students
5. 78 wordsheets
6. Yes
7. Yes
Parent Tip: Review the logic above to help your child master the concept of middle school math word problems.
