Worksheet titled "One Variable Word Problems Notes" that includes steps for solving, key words, and six example word problems for practice.

Absolutely! Let's solve each of the six word problems step-by-step using the One Variable Word Problem method outlined in your worksheet:

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✔ STEPS TO FOLLOW (as given):

1. Determine the variable
2. Set up the equation
3. Solve

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## 🔹 Problem 1:
> 8 less than 3 times a number is 13. Find the number.

Step 1: Determine the variable

Let the number be x

Step 2: Set up the equation

“3 times a number” → 3x
“8 less than 3 times a number” → 3x - 8
“is 13” → = 13
✔ Equation: 3x - 8 = 13

Step 3: Solve

Add 8 to both sides:
→ 3x = 21
Divide by 3:
→ x = 7

✔ Answer: The number is 7

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## 🔹 Problem 2:
> Amy scores 7 points more than 2 times Jill on their unit test. If Amy scored an 87, what did Jill score?

Step 1: Determine the variable

Let Jill’s score = x

Step 2: Set up the equation

“2 times Jill” → 2x
“7 more than 2 times Jill” → 2x + 7
“Amy scored 87” → = 87
✔ Equation: 2x + 7 = 87

Step 3: Solve

Subtract 7 from both sides:
→ 2x = 80
Divide by 2:
→ x = 40

✔ Answer: Jill scored 40

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## 🔹 Problem 3:
> Ava makes 7 dollars per hour plus a weekly bonus of $10. If her paycheck this week was $80, how many hours did she work?

Step 1: Determine the variable

Let hours worked = h

Step 2: Set up the equation

Pay = (hourly rate × hours) + bonus
→ 7h + 10 = 80
✔ Equation: 7h + 10 = 80

Step 3: Solve

Subtract 10 from both sides:
→ 7h = 70
Divide by 7:
→ h = 10

✔ Answer: Ava worked 10 hours

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## 🔹 Problem 4:
> Emmanuel is 2 times older than Jaime. Their ages add to 54. Find both of their ages.

Step 1: Determine the variable

Let Jaime’s age = x
Then Emmanuel’s age = 2x

Step 2: Set up the equation

Sum of their ages = 54
→ x + 2x = 54
✔ Equation: 3x = 54

Step 3: Solve

Divide by 3:
→ x = 18

So, Jaime is 18, Emmanuel is 2 × 18 = 36

✔ Answer: Jaime is 18, Emmanuel is 36

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## 🔹 Problem 5:
> Giselle paid an accountant $25 per hour to do her taxes plus a $100 one-time fee. Her total bill was $250. How many hours did the accountant work?

Step 1: Determine the variable

Let hours worked = h

Step 2: Set up the equation

Total cost = (hourly rate × hours) + fee
→ 25h + 100 = 250
✔ Equation: 25h + 100 = 250

Step 3: Solve

Subtract 100 from both sides:
→ 25h = 150
Divide by 25:
→ h = 6

✔ Answer: The accountant worked 6 hours

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## 🔹 Problem 6:
> 9 more than a number divided by 8 is 10. What is the number?

Step 1: Determine the variable

Let the number = x

Step 2: Set up the equation

“a number divided by 8” → x/8
“9 more than that” → x/8 + 9
“is 10” → = 10
✔ Equation: x/8 + 9 = 10

Step 3: Solve

Subtract 9 from both sides:
→ x/8 = 1
Multiply both sides by 8:
→ x = 8

✔ Answer: The number is 8

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## 📝 Final Answers Summary:

1. 7
2. 40
3. 10 hours
4. Jaime: 18, Emmanuel: 36
5. 6 hours
6. 8

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Let me know if you’d like these written out neatly for your worksheet or need help with similar problems! 😊