1. Let L be the number of t-shirts Lily has. The equation is L = 4 * 33 - 3. Solving: L = 132 - 3 = 129. Lily has 129 t-shirts.
2. Let x be the number. The equation is 4x = 2x + 8. Subtract 2x from both sides: 2x = 8. Divide by 2: x = 4. The number is 4.
3. Let c be the cousin’s age. The equation is 30 = 2c + 8. Subtract 8 from both sides: 22 = 2c. Divide by 2: c = 11. The cousin is 11 years old.
4. Let h be the number of hours. The equation is 125 + 30h = 305. Subtract 125 from both sides: 30h = 180. Divide by 30: h = 6. Craig had the car for 6 hours.
5. Let n be the number. The equation is 2n + 10 = 24. Subtract 10 from both sides: 2n = 14. Divide by 2: n = 7. The number is 7.
6. Let m be the minutes read last week. The equation is 120 = 2m + 10. Subtract 10 from both sides: 110 = 2m. Divide by 2: m = 55. Kyla read 55 minutes last week.
7. Let the three consecutive even numbers be x, x+2, and x+4. The equation is x + (x+2) + (x+4) = 18. Combine like terms: 3x + 6 = 18. Subtract 6: 3x = 12. Divide by 3: x = 4. The numbers are 4, 6, and 8.
8. Let a be the weekly allowance. The equation is a - (a/3) - 8 = 2. Simplify: (2a/3) - 8 = 2. Add 8 to both sides: 2a/3 = 10. Multiply both sides by 3: 2a = 30. Divide by 2: a = 15. The weekly allowance is $15.
Parent Tip: Review the logic above to help your child master the concept of linear equation word problems worksheet with answers.
