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: L = 4 * 33 - 3
- Solution: L = 132 - 3 = 129
- Answer: Lily has 129 t-shirts.
2. 4 times a number is equivalent to 8 more than 2 times the number. What is the number?
- Equation: 4x = 2x + 8
- Solution: 4x - 2x = 8 → 2x = 8 → x = 4
- Answer: The number is 4.
3. Pedro is 8 years older than twice the age of his cousin. If Pedro is 30, how old is his cousin?
- Equation: 30 = 2c + 8
- Solution: 30 - 8 = 2c → 22 = 2c → c = 11
- Answer: His cousin is 11 years old.
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: 125 + 30h = 305
- Solution: 30h = 305 - 125 → 30h = 180 → h = 6
- Answer: He had the rental car for 6 hours.
5. 2 times a number increased by 10 is 24. Find the number.
- Equation: 2x + 10 = 24
- Solution: 2x = 24 - 10 → 2x = 14 → x = 7
- Answer: The number is 7.
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: 120 = 2r + 10
- Solution: 120 - 10 = 2r → 110 = 2r → r = 55
- Answer: She read 55 minutes last week.
7. The sum of 3 consecutive even numbers is 18. What are the three numbers?
- Let the numbers be x, x+2, x+4.
- Equation: x + (x+2) + (x+4) = 18
- Solution: 3x + 6 = 18 → 3x = 12 → x = 4
- Numbers: 4, 6, 8
- Answer: The three numbers are 4, 6, and 8.
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?
- Let allowance be A.
- Equation: A - (1/3)A - 8 = 2
- Solution: (2/3)A = 10 → A = 10 * (3/2) = 15
- Answer: Your weekly allowance is $15.
Parent Tip: Review the logic above to help your child master the concept of using equations to solve word problems worksheet.
