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EOC Practice #2

EOC Practice #2. SPI 3102.1.2. EOC Practice #2. Write an equation symbolically to express a contextual problem. 1. Trevor Benjamin is a salesperson who is paid a monthly salary of $500 plus 2% commission on sales. Write an equation

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EOC Practice #2

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  1. EOC Practice #2 SPI 3102.1.2

  2. EOC Practice #2 • Write an equation symbolically to express a contextual problem.

  3. 1. Trevor Benjamin is a salesperson who is paid a monthly salary of $500 plus 2% commission on sales. Write an equation that represents Trevor’s monthly salary. A. S = 2x + 500 B. S = 500x + .02 C. S = .02x + 500 D. S = .05x + 2

  4. Mrs. Doubtfire is planning to place a fence around her backyard. The fencing costs $1.95 per yard. She buys f yards of fencing and pays $3.50 in tax. If the total cost of the fencing is $81.50, write an equation to represent the situation. • A. 3.50f + 1.95 = 81.50 • B. 1.95f + 3.50 = 81.50 • C. 1.95 f - 3.50 = 81.50 • D. 3.50f – 1.95 = 81.50

  5. For questions 2 and 3, use the following information. Dollywood first opened in 1961 as a small tourist attraction named “Rebel Railroad.” After several name changes, Dolly Parton became co-owner in 1986 and the park was renamed “Dollywood.”

  6. Let y represent the number of years • after 1961 that the park was renamed • Dollywood. Write an expression for the • year the park was renamed. • A. 1961 – y • B. 1986 – y • C. 1961 + y • D. 1986 + y

  7. Write an equation to represent the • year the park was renamed. • A. 1961 + y = 1986 • B. 1986 + y = 1961 • C. y - 1961 = 1986 • D. y – 1986 = 1961

  8. Mrs. Doubtfire is planning to place a fence • around her backyard. The fencing costs • $1.95 per yard. She buys f yards of fencing • and pays $3.50 in tax. If the total cost of the • fencing is $81.50, write an equation to • represent the situation. • A. 3.50f + 1.95 = 81.50 • B. 1.95f + 3.50 = 81.50 • C. 1.95 f - 3.50 = 81.50 • D. 3.50f – 1.95 = 81.50

  9. During a one-hour episode of Numb3rs, • the entertainment portion lasted 15 minutes • longer than 4 times the advertising portion. • If a represents the time spent on advertising, • write an equation to represent the situation. • A. 4a + 15 = 60 • B. 4(a + 15) = 60 • C. a(4a + 15) = 60 • D. a + (4a + 15) = 60

  10. Karen works for $6 an hour. A total of 25% • of her salary is deducted for taxes and • insurance. She is trying to save $450 for a • new car stereo and speakers. Write an • equation to represent how many hours • Karen must work to take home $450 if she • saves all of her earnings. • A. 6h – 0.25(6h) = 450 • B. 6h – 0.25h = 450 • C. 6(0.25h) = 450 • D. 450 + 6h = 0.25(6h)

  11. The Answers

  12. 1. Trevor Benjamin is a salesperson who is paid a monthly salary of $500 plus 2% commission on sales. Write an equation that represents Trevor’s monthly salary. A. S = 2x + 500 B. S = 500x + .02 C. S = .02x + 500 D. S = .05x + 2

  13. For questions 2 and 3, use the following information. Dollywood first opened in 1961 as a small tourist attraction named “Rebel Railroad.” After several name changes, Dolly Parton became co-owner in 1986 and the park was renamed “Dollywood.”

  14. 2. Let y represent the number of years after 1961 that the park was renamed Dollywood. Write an expression for the year the park was renamed. A. 1961 – y B. 1986 – y C. 1961 + y D. 1986 + y

  15. 3. Write an equation to represent the year the park was renamed. A. 1961 + y = 1986 B. 1986 + y = 1961 C. y - 1961 = 1986 D. y – 1986 = 1961

  16. Mrs. Doubtfire is planning to place a fence • around her backyard. The fencing costs • $1.95 per yard. She buys f yards of fencing • and pays $3.50 in tax. If the total cost of the • fencing is $81.50, write an equation to • represent the situation. • A. 3.50f + 1.95 = 81.50 • B. 1.95f + 3.50 = 81.50 • C. 1.95 f - 3.50 = 81.50 • D. 3.50f – 1.95 = 81.50

  17. During a one-hour episode of Numb3rs, • the entertainment portion lasted 15 minutes • longer than 4 times the advertising portion. • If a represents the time spent on advertising, • write an equation to represent the situation. • A. 4a + 15 = 60 • B. 4(a + 15) = 60 • C. a(4a + 15) = 60 • D. a + (4a + 15) = 60

  18. Karen works for $6 an hour. A total of 25% • of her salary is deducted for taxes and • insurance. She is trying to save $450 for a • new car stereo and speakers. Write an • equation to represent how many hours • Karen must work to take home $450 if she • saves all of her earnings. • A. 6h – 0.25(6h) = 450 • B. 6h – 0.25h = 450 • C. 6(0.25h) = 450 • D. 450 + 6h = 0.25(6h)

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