Here are the solutions for each problem on the worksheet.
1. Mr. Swanson's Class
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Algebraic Expression: The class starts with $c$ students and adds 5 more.
Answer: $c + 5$
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Numerical Expression: Substitute 27 for $c$.
Answer: $27 + 5$
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Answer: 32
2. Pratap's Coins
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Algebraic Expression: Pratap has 6 times as many coins as Yoshiko ($y$).
Answer: $6y$ (or $6 \times y$)
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Numerical Expression: Substitute 47 for $y$.
Answer: $6 \times 47$
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Answer: 282
3. Ayana's Laps
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Algebraic Expression: Ayana runs 13 laps less than Emma. Let's use the variable $e$ for Emma's laps.
Answer: $e - 13$
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Numerical Expression: Substitute 32 for Emma's laps.
Answer: $32 - 13$
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Answer: 19
4. Nicki's Age
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Algebraic Expression: Nicki's age is Granny's age divided by 6. Let's use the variable $g$ for Granny's age.
Answer: $\frac{g}{6}$ (or $g \div 6$)
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Numerical Expression: Substitute 72 for Granny's age.
Answer: $72 \div 6$
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Answer: 12
5. 8th Grade Students
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Algebraic Expression: The 8th grade has $\frac{2}{3}$ of the 7th grade students. Let's use the variable $s$ for the number of 7th graders.
Answer: $\frac{2}{3}s$ (or $\frac{2}{3} \times s$)
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Numerical Expression: Substitute 96 for the number of 7th graders.
Answer: $\frac{2}{3} \times 96$
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Answer: 64
Final Answer:
1. Algebraic: $c + 5$ | Numerical: $27 + 5$ | Answer: 32
2. Algebraic: $6y$ | Numerical: $6 \times 47$ | Answer: 282
3. Algebraic: $e - 13$ | Numerical: $32 - 13$ | Answer: 19
4. Algebraic: $\frac{g}{6}$ | Numerical: $72 \div 6$ | Answer: 12
5. Algebraic: $\frac{2}{3}s$ | Numerical: $\frac{2}{3} \times 96$ | Answer: 64
Parent Tip: Review the logic above to help your child master the concept of written expression worksheet.
