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

Problem Analysis and Solution

The provided image contains a series of word problems involving two-step inequalities. Each problem requires setting up an inequality based on the given scenario and then solving it to find the answer. Below, I will solve each problem step by step.

---

#### Problem 1:
Jason got a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Jason hopes to make at least $68 this week to buy a new pair of soccer cleats. How many magazine subscriptions does Jason need to sell?

- Known Information:
- Base pay: $25
- Earnings per subscription: $3
- Total earnings goal: At least $68

- Inequality Setup:
Let \( x \) be the number of subscriptions Jason needs to sell.
\[
25 + 3x \geq 68
\]

- Correct Answer:
The correct inequality is:
\[
\boxed{D}
\]

---

#### Problem 2:
Noah has $100 saved in a bank account. He asked Sydney to help him figure out how much he could take out each month if he needs to have at least $25 in the account a year from now.

- Known Information:
- Initial savings: $100
- Minimum required savings after 1 year: $25
- Time period: 1 year (12 months)

- Inequality Setup:
Let \( x \) be the amount Noah takes out each month.
Over 12 months, the total amount taken out is \( 12x \).
The remaining balance after 12 months must be at least $25:
\[
100 - 12x \geq 25
\]

- Correct Answer:
The correct inequality is:
\[
\boxed{C}
\]

---

#### Problem 3:
Sai gets 5 points for each answer and has already earned 10 points of extra credit. She needs at least 77 points to pass. How many questions does Sai need to answer to pass?

- Known Information:
- Points per question: 5
- Extra credit: 10 points
- Total points needed: At least 77

- Inequality Setup:
Let \( x \) be the number of questions Sai needs to answer.
The total points Sai earns is:
\[
5x + 10 \geq 77
\]

- Correct Answer:
The correct inequality is:
\[
\boxed{B}
\]

---

#### Problem 4:
Jodi earned $15 per hour waiting tables, then she spent $35 on gas. She now has less than $25 left. How many hours did Jodi work?

- Known Information:
- Earnings per hour: $15
- Gas expense: $35
- Remaining money: Less than $25

- Inequality Setup:
Let \( x \) be the number of hours Jodi worked.
Her total earnings are \( 15x \).
After spending $35 on gas, her remaining money is:
\[
15x - 35 < 25
\]

- Correct Answer:
The correct inequality is:
\[
\boxed{A}
\]

---

#### Problem 5:
Colin began with $45 in his account. He saved $15 every week and now has more than $205. For how many weeks was he saving money?

- Known Information:
- Initial amount: $45
- Savings per week: $15
- Current amount: More than $205

- Inequality Setup:
Let \( x \) be the number of weeks Colin saved money.
The total amount saved is:
\[
45 + 15x > 205
\]

- Correct Answer:
The correct inequality is:
\[
\boxed{A}
\]

---

#### Problem 6:
Kyle used a $25 gift card and bought a bunch of toys that cost $2 each for his little brother. He still has some money left on the gift card. How many toys did Kyle buy?

- Known Information:
- Gift card value: $25
- Cost per toy: $2
- Money left on the gift card: Some amount (more than $0)

- Inequality Setup:
Let \( x \) be the number of toys Kyle bought.
The total cost of the toys is \( 2x \).
Since Kyle still has some money left, the total cost must be less than $25:
\[
2x < 25
\]

- Correct Answer:
The correct inequality is:
\[
\boxed{A}
\]

---

Final Answers:

1. \(\boxed{D}\)
2. \(\boxed{C}\)
3. \(\boxed{B}\)
4. \(\boxed{A}\)
5. \(\boxed{A}\)
6. \(\boxed{A}\)

---

Boxed Final Answer:
\[
\boxed{D, C, B, A, A, A}
\]