Sure! Let’s go through each problem one by one and write the correct algebraic equation based on the situation described. The goal is to translate the word problem into a mathematical equation using the given variable.
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1. Jerry had 20 DVDs. He bought x more. Then he had 28 DVDs.
- He started with 20.
- He added
x more.
- Now he has 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.
- 4 loaves × weight per loaf (w) = total weight (80)
✔ Equation: `4w = 80`
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3. Bobbie had z tokens. She gave 7 to Bryan. She had 16 tokens left.
- Started with
z, subtracted 7, ended with 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.
- 50 states × s senators per state = 100 total senators
✔ Equation: `50s = 100`
*(Note: In reality, each state has 2 senators — so s = 2 — but we’re writing the equation as given.)*
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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.
- Base recess: 20 minutes
- Add
t minutes → total = 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.
- Number of hands (
g) × cards per hand (13) = total cards (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 algebra. You can solve them later if needed, but the task here was just to write the equation — which we’ve done correctly for each!
Let me know if you’d like to solve any of them too!
Parent Tip: Review the logic above to help your child master the concept of 6th grade algebra word problems worksheet.
