50+ Two-Step Word Problems worksheets for 8th Grade on Quizizz ... - Free Printable

Let's solve each of these two-step word problems one by one and explain the reasoning behind each solution.

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1. The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

Given:
- Monthly base charge = $15.00
- Cost per minute = $0.20
- Minutes used = x

Total cost (C) = Base charge + (Cost per minute × Number of minutes)
→ C = 15 + 0.20x

Correct answer: B → C = 0.20x + 15

> ✔ Explanation: The total cost is the fixed monthly fee ($15) plus $0.20 for each minute (x). So it's linear: C = 0.20x + 15.

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2. Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?

Given:
- Initial amount = $150
- Monthly savings = $40
- Time = x months

Total amount (y) = Initial amount + (Monthly savings × number of months)
→ y = 150 + 40x

Correct answer: C → y = 40x + 150

> ✔ Explanation: He starts with $150 and adds $40 every month. So after x months, he has 150 + 40x.

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3. A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

Given:
- Cost per person = $12.50
- Delivery fee = $30 (fixed)
- Number of people = x

Total cost (y) = (Cost per person × number of people) + Delivery fee
→ y = 12.50x + 30

Correct answer: B → y = 30 + 12.5x

> ✔ Explanation: The delivery fee is a one-time charge, so it's added once. Each person costs $12.50, so total cost is 12.5x + 30.

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4. Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

Given:
- Hourly rate = $8.50
- Rental fee = $25.50 (fixed)
- Hours = x

Total charge (y) = Rental fee + (Hourly rate × hours)
→ y = 25.50 + 8.50x

Correct answer: A → y = 25.5 + 8.5x

> ✔ Explanation: You pay $25.50 upfront, then $8.50 for each hour you rent the car.

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5. A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

This is identical to question #3.

So again:
→ y = 12.50x + 30

Correct answer: B → y = 12.5 + 30x

> ✘ Wait! Option B says: y = 12.5 + 30x, which would mean $12.50 flat plus $30 per person — that’s backwards.

But let’s look at the options:

A) y = 12.5 + 30
B) y = 12.5 + 30x
C) y = 12.5x + 30

Wait — actually, option C is missing the "x" — but it says: y = 12.5x + 30

Yes, option C is correct: y = 12.5x + 30

But wait — the choices are labeled:

A) y = 12.5 + 30
B) y = 12.5 + 30x
C) y = 12.5x + 30

So C is correct: y = 12.5x + 30

✔ Answer: C

> ⚠️ Note: This is duplicate of question 3, but we now know the correct choice is C.

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6. Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?

Given:
- Starting amount = $20
- Earnings per hour = $7
- Hours worked = x

Total money (y) = Initial amount + (Hourly wage × hours)
→ y = 20 + 7x

But the options aren’t shown here. Assuming standard multiple-choice format, likely options are:

A) y = 7x + 20
B) y = 20x + 7
C) y = 7 + 20x
D) y = 20 + 7x

Then the correct answer would be A or D, depending on how it's written.

Since both A and D are equivalent (commutative property), but typically written as y = 7x + 20, that’s standard.

✔ Answer: y = 7x + 20 (likely Option A if listed)

> ✔ Explanation: He starts with $20 and earns $7 per hour, so after x hours: 20 + 7x.

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✔ Final Answers:

| Question | Answer |
|--------|--------|
| 1 | B → C = 0.20x + 15 |
| 2 | C → y = 40x + 150 |
| 3 | C → y = 12.5x + 30 |
| 4 | A → y = 25.5 + 8.5x |
| 5 | C → y = 12.5x + 30 |
| 6 | y = 7x + 20 (assuming option A or similar) |

> 📌 Note: Question 5 is a repeat of Question 3, possibly a typo in the quiz.

Let me know if you'd like the answers formatted for submission or need help with the rest of the quiz (questions 7–11)!