Sure! Let’s go through each problem one by one and write an equation that represents the situation described. The goal is to translate the word problem into a simple algebraic equation using the variable given.
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1. Jerry had 20 DVDs. He bought x more. Then he had 28 DVDs.
- Starting amount: 20
- Added: x
- Final amount: 28
✔ Equation:
20 + x = 28
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2. Dorothy baked 4 loaves of banana bread, each weighs w oz. The total weight is 80 oz.
- Number of loaves: 4
- Weight per loaf: w oz
- Total weight: 80 oz → so 4 times w equals 80
✔ Equation:
4w = 80
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3. Bobbie had z tokens. She gave 7 to Bryan. She had 16 tokens left.
- Starting amount: z
- Gave away: 7
- Left with: 16 → so z minus 7 equals 16
✔ Equation:
z - 7 = 16
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4. Each of the 50 states has s U.S. Senators. There are 100 U.S. Senators all together.
- Number of states: 50
- Senators per state: s
- Total senators: 100 → so 50 times s equals 100
✔ Equation:
50s = 100
*(Note: In reality, each state has 2 senators, so s = 2 — but we’re just writing the equation based on the description.)*
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5. The recess period at Morehead School is usually 20 minutes. On Friday, the students are given an extra t minutes, so they had 40 minutes for recess.
- Usual recess: 20 minutes
- Extra time: t minutes
- Total recess on Friday: 40 minutes → so 20 plus t equals 40
✔ Equation:
20 + t = 40
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6. Deborah dealt an entire deck of 52 cards to make g hands. Each hand had 13 cards.
- Total cards: 52
- Number of hands: g
- Cards per hand: 13 → so g times 13 equals 52
✔ Equation:
13g = 52
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✔ Final Answers:
1.
20 + x = 28
2.
4w = 80
3.
z - 7 = 16
4.
50s = 100
5.
20 + t = 40
6.
13g = 52
These equations model each real-world situation using the variables provided. You can solve them if needed, but the task was just to write the equation — which we’ve done!
Let me know if you want to solve any of them too!
Parent Tip: Review the logic above to help your child master the concept of simple algebra word problems worksheet.
