1. Let the number be x. The equation is 3x - 8 = 13. Add 8 to both sides: 3x = 21. Divide by 3: x = 7.
2. Let Jill's score be x. The equation is 2x + 7 = 87. Subtract 7 from both sides: 2x = 80. Divide by 2: x = 40.
3. Let the hours worked be x. The equation is 7x + 10 = 80. Subtract 10 from both sides: 7x = 70. Divide by 7: x = 10.
4. Let Jaime's age be x. Then Emanuel's age is 2x. The equation is x + 2x = 54. Combine like terms: 3x = 54. Divide by 3: x = 18. So Jaime is 18 and Emanuel is 36.
5. Let the hours worked be x. The equation is 25x + 100 = 250. Subtract 100 from both sides: 25x = 150. Divide by 25: x = 6.
6. Let the number be x. The equation is (x + 9) / 8 = 10. Multiply both sides by 8: x + 9 = 80. Subtract 9: x = 71.
Parent Tip: Review the logic above to help your child master the concept of creating linear equations from word problems worksheet.