1. Let x be Sam's weekly salary. After 8 weeks, he earned 8x dollars. He spent $200 and had $216 left, so 8x - 200 = 216. Solving: 8x = 416, so x = 52. Sam's weekly salary is $52.
2. Let x be Mr. Smith’s hourly rate. For 27 hours, he earned 27x dollars. He spent $325 on a sofa and had $80 left, so 27x - 325 = 80. Solving: 27x = 405, so x = 15. Mr. Smith charges $15 per hour.
3. Let x be Imani’s weekly allowance. She spent (1/3)x on mini-golf and earned an additional $4. At the end, she had $12, so x - (1/3)x + 4 = 12. Simplifying: (2/3)x + 4 = 12. Then (2/3)x = 8, so x = 12. Imani’s weekly allowance is $12.
4. Let x be the number of cookies Iris initially had to sell. She sold (5/8)x and then made 12 more, ending with 24 cookies. So x - (5/8)x + 12 = 24. Simplifying: (3/8)x + 12 = 24. Then (3/8)x = 12, so x = 32. Iris initially had 32 cookies to sell.
Parent Tip: Review the logic above to help your child master the concept of 2 step equations worksheet 7th grade.
