Using the pictures below, answer the questions with an explanation.

10. Solve the system by graphing using the grid to the right: x+2y=5 2x+y=1 123456 X 11. How can you tell if a system of linear equations will have no solution, one solution or infinitely many solutions? 12. Candy costing $6 per kg is mixed with candy costing $4.50 per kg to produce 112kg of candy worth $612. How many kg of each type of candy was used? Write a system to model this situation, define variables, solve, and verify your solution. 13. Use prime factorization to determine the greatest common factor and least common multiple of the following three numbers: 630, 945, and 4914. 14. Expand (3x 5)(4x + 7) 15. Expand (77' + 4s)(7r 4s) 16. Expand (11a + 9)2 17. Factor each of the following polynomials completely. a) 5x2+6x8 b) 4x2+20x+25 c) 41'2 2532 d) 12a22a4 18. List all the number systems (N, W, Z, O, (1', R) the following numbers belong to: a) /E b) 221/17 c) 4.6796796... 19. Convert each of the following to a simplified mixed radical. a. R b. 34567 20. Express 5x5 as an entire radical. 21. Evaluate the following without using a calculator: a)[%] b) 27'3 c) (32)