Writing Expressions worksheet featuring ten real-life scenarios to practice forming algebraic expressions.

Let me work through each problem step by step to write the correct algebraic expressions.

Problem 1: You are going to an amusement park. It costs $15 to get in and $2 for each ride, r.
- Entry fee: $15 (fixed)
- Cost per ride: $2 × r
- Expression: 15 + 2r

Problem 2: Miles makes $14 per hour but has to pay $55 for his cell phone bill.
- Earnings: $14 per hour (let's say h hours)
- Cell phone bill: -$55
- Expression: 14h - 55

Wait, let me re-read. "Miles makes $14 per hour but has to pay $55 for his cell phone bill." The variable isn't specified here explicitly. Looking at it again - it says "$14 per hour" so the variable would be hours. But actually, looking at the pattern of these problems, maybe they just want the expression with whatever variable makes sense. Let me use h for hours.
Expression: 14h - 55

Problem 3: Olivia bought 8 bags of fruit at the farmer's market. She put a apples and b bananas in each bag.
- Each bag has: a + b fruits
- 8 bags total
- Expression: 8(a + b) or 8a + 8b

Problem 4: Ms. Raynes has $70 and spends $6 on each of y books.
- Starting amount: $70
- Spends: $6 × y
- Expression: 70 - 6y

Problem 5: Anna and her brother were collecting seashells. She collected s shells and her brother collected twice as much.
- Anna: s shells
- Brother: 2s shells
- Total: s + 2s = 3s
- Expression: s + 2s or 3s

Problem 6: Carlos and Brandon had p pencils and e erasers. They combined these and split them equally.
- Total items: p + e
- Split equally between 2 people: (p + e) ÷ 2
- Expression: (p + e)/2 or (p + e) ÷ 2

Problem 7: Mason's mom bought g games online. The games cost $12 each plus a $7 shipping fee.
- Games cost: $12 × g
- Shipping: $7 (one-time fee)
- Expression: 12g + 7

Problem 8: Haley and Mia's dad said if they combine the money they've saved, he would double it.
- Let's say Haley has h dollars and Mia has m dollars
- Combined: h + m
- Doubled: 2(h + m)
- Expression: 2(h + m)

Hmm, but no variables are given. Let me think... Maybe we use generic variables. Actually, looking at this more carefully, perhaps we should use h for Haley and m for Mia, or just use one variable if they're treating it as a combined amount. Let me use h and m.
Expression: 2(h + m)

Actually, I think the standard approach here would be to use variables for each person's savings. Let me use h for Haley and m for Mia.
Expression: 2(h + m)

Problem 9: Jacob makes $10 for every lawn he mows, m. He owes his brother $20.
- Earnings: $10 × m
- Owes: -$20
- Expression: 10m - 20

Problem 10: Rosa is making a cherry pie. She divides c cherries into 4 pies and eats the remaining 3 cherries.
- Cherries per pie: c ÷ 4... wait, that doesn't make sense with "eats the remaining 3"
- Let me re-read: "She divides c cherries into 4 pies and eats the remaining 3 cherries"
- So she uses some cherries for 4 pies, and has 3 left over that she eats
- If she divides c cherries into 4 pies equally, each pie gets c/4 cherries... but then there's no remainder unless c isn't divisible by 4
- Actually, I think it means: she puts cherries into 4 pies (some number per pie), and after filling the pies, 3 cherries remain which she eats
- Hmm, but without knowing how many go in each pie...
- Wait, maybe it means: she divides c cherries among 4 pies, meaning each pie gets c/4, and then she eats 3 more? No that doesn't work either.
- Let me reconsider: "divides c cherries into 4 pies" - this likely means she distributes c cherries into 4 pies. If she eats the remaining 3, then the cherries used in pies = c - 3, and each pie gets (c-3)/4
- Or maybe: she puts some cherries in each of 4 pies, and 3 are left over. The expression might be asking for how many cherries are in each pie: (c - 3)/4
- Actually, I think the most natural reading is: she has c cherries total, she uses them to fill 4 pies (equal amounts), and 3 cherries are leftover which she eats. So cherries per pie = (c - 3)/4

Let me verify my answers:

1. 15 + 2r ✓
2. 14h - 55 (using h for hours) ✓
3. 8(a + b) or 8a + 8b ✓
4. 70 - 6y ✓
5. s + 2s = 3s ✓
6. (p + e)/2 ✓
7. 12g + 7 ✓
8. 2(h + m) where h and m are their savings ✓
9. 10m - 20 ✓
10. (c - 3)/4 ✓

For problem 8, since no specific variables are given, I'll use h for Haley's savings and m for Mia's savings.

For problem 2, since no variable is explicitly given for hours, I'll use h.

Let me finalize all answers.