One Variable Word Problems Practice 2 worksheet with eight word problems requiring students to write equations and solve them, featuring scenarios involving t-shirts, numbers, ages, car rentals, reading time, consecutive even numbers, and weekly allowance.

Here is the complete solution to all 8 word problems from the worksheet, with equations and step-by-step explanations.

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Problem 1:
> Lily has 3 less than 4 times the amount of t-shirts as Bree. If Bree has 33 t-shirts, how many does Lily have?

Equation:
Let L = number of t-shirts Lily has.
L = 4 × (Bree’s t-shirts) − 3
L = 4 × 33 − 3

Solution:
L = 132 − 3 = 129

✔ Answer: Lily has 129 t-shirts.

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Problem 2:
> 4 times a number is equivalent to 8 more than 2 times the number. What is the number?

Equation:
Let x = the number.
4x = 2x + 8

Solution:
Subtract 2x from both sides:
4x − 2x = 8
2x = 8
x = 4

✔ Answer: The number is 4.

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Problem 3:
> Pedro is 8 years older than twice the age of his cousin. If Pedro is 30, how old is his cousin?

Equation:
Let c = cousin’s age.
Pedro’s age = 2c + 8
30 = 2c + 8

Solution:
Subtract 8 from both sides:
30 − 8 = 2c
22 = 2c
c = 11

✔ Answer: His cousin is 11 years old.

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Problem 4:
> A car rental service charges a rental fee of $125 plus $30 per hour to rent a car. If Craig’s total bill is $305, how many hours did he have the rental car?

Equation:
Let h = number of hours.
Total cost = 125 + 30h
305 = 125 + 30h

Solution:
Subtract 125 from both sides:
305 − 125 = 30h
180 = 30h
h = 6

✔ Answer: Craig had the car for 6 hours.

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Problem 5:
> 2 times a number increased by 10 is 24. Find the number.

Equation:
Let x = the number.
2x + 10 = 24

Solution:
Subtract 10 from both sides:
2x = 14
x = 7

✔ Answer: The number is 7.

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Problem 6:
> Kyla spent 120 minutes reading this week. If this was 10 more than 2 times the amount of time she spent reading last week, how many minutes did she read last week?

Equation:
Let m = minutes read last week.
This week = 2m + 10
120 = 2m + 10

Solution:
Subtract 10 from both sides:
110 = 2m
m = 55

✔ Answer: She read 55 minutes last week.

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Problem 7:
> The sum of 3 consecutive even numbers is 18. What are the three numbers?

Equation:
Let the middle even number be x. Then the three consecutive even numbers are:
(x − 2), x, (x + 2)

Sum: (x − 2) + x + (x + 2) = 18
Simplify: 3x = 18
x = 6

So the numbers are: 4, 6, 8

✔ Answer: The three numbers are 4, 6, and 8.

*(Check: 4 + 6 + 8 = 18 ✔)*

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Problem 8:
> You give a third of your weekly allowance to a charity. Then you spend $8 at the mall. If you have $2 left to spend, how much is your weekly allowance?

Equation:
Let A = weekly allowance.
After giving ⅓ to charity, you have ⅔A left.
Then you spend $8, so:
⅔A − 8 = 2

Solution:
Add 8 to both sides:
⅔A = 10
Multiply both sides by 3/2:
A = 10 × (3/2) = 15

✔ Answer: Your weekly allowance is $15.

*(Check: ⅓ of 15 = $5 to charity → $10 left. Spend $8 → $2 left ✔)*

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✔ Final Answers Summary:

1. 129 t-shirts
2. 4
3. 11 years old
4. 6 hours
5. 7
6. 55 minutes
7. 4, 6, 8
8. $15

Let me know if you’d like these written out in a printable format or need help setting up the equations differently!