Question: Name: Communication Answer with proper sentences. Show your work. 18. Describe the steps involved in expanding -3(x - 4x + 2) + 4(x+ 1). (3




Name: Communication Answer with proper sentences. Show your work. 18. Describe the steps involved in expanding -3(x - 4x + 2) + 4(x+ 1). (3 marks) 19. Jackson and Cherie both drive taxicabs. Jackson charges a flat fee of $5 per fare plus $1 per mile. Cherie charges a flat fee of $3 per fare plus $2 per mile. They pick up two groups of passengers from the airport going to the same hotel. Let m represent the number of miles between the airport and the hotel. a) Represent Jackson's bill as a polynomial. (1 mark) b) Represent Cherie's bill as a polynomial. (1 mark) c) Write a new polynomial that represents Jackson's and Cherie's combined fares for the trip. (2 marks) d) If they both drove 22 miles, calculate their combined fares. (2 marks) Page 4 of 5Name: Application. Show your work. 15. Write the simplified algebraic expression for the perimeter, P, and area, A, of the following figure. (4 marks) 5n + 11 Thinking/Inquiry Show your work. 16. Write an expression for the product of even integer x and the next even integer. (2 marks) 17.Express the area of the shaded region as an expanded algebraic expression. (4 marks) 3x 2x X x+ 1 Page 3 of 5
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