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Pre-Algebra CRT Study Guide Second Quarter 2006-2007 Find the slope and y-intercept, and then graph the following linear equations. 3 1. y = –2x – 4 2. y = x – 1 3. y = –5 4. 5x – 4y = 12 5. 2x + y = 3 6. -5x + y = 4 4 8. y = x – 3 5 1 7. y = x + 1 5 5 3 9. y = x + 2 5 Find the slope of the line through the pair of points. 10. L(–9, 6), M(–1, –9) 11. F(5, 8), K(–3, 8) 12. N(–7, 5), P(–7, –7) Write the equation for the linear function represented in the table for #13 and #14. 13. x f(x) –3 –6 0 0 3 6 6 12 x f(x) –4 16 0 0 4 –16 –32 14. 8 15. The sales tax in one state is 12%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a desk with a selling price of $187.59. 16. Gary has a business putting on birthday parties. He charges $30 to design the party and then $7.50 per child. Write a function rule that relates the total cost of the party to the number of children c. 17. Jeffery received a $114 gift certificate to Blockbuster. The rental fee for each movie is $4, and the fee for each game is $4.50. Write an equation to describe the possible number of movies and games he can rent with his gift certificate if x represents the number of movie rentals and y the number of game rentals. Page 1 of 3 Pre-Algebra CRT Study Guide Second Quarter 2006-2007 18. Write the equation for the linear function in the graph. y 4 (4, 3) –4 (3,4–1) x –4 19. Simplify: (23)2 20. Simplify: b9 b6 21. Simplify: k6 k10 22. Write 0.000000474 in scientific notation. 23. Write 806,000,000 in scientific notation. 24. Write in standard notation. 25. Write 26. Simplify: x2 x5 in standard notation. 27. Simplify: (43)2 28. Simplify: -5x3 -4x8 Page 2 of 3 Pre-Algebra CRT Study Guide Second Quarter 2006-2007 29. Parallelogram PARL parallelogram WXYZ. Find the value of c. X A c 5 P Y R 24 L W 48 Z 30. The cafeteria is 95 ft high and casts a 285-ft shadow. Carrie casts a 12-ft shadow. The triangle formed by the building and its shadow is similar to the triangle formed by Carrie and her shadow. How tall is Carrie? Round your answer to the nearest hundredth. 31. The school gym is 106 ft high and casts a 396-ft shadow. Jerry casts a 19-ft shadow. The triangle formed by the building and its shadow is similar to the triangle formed by Jerry and his shadow. How tall is Jerry? Round your answer to the nearest hundredth. 32. If (p, 2) is the solution to the equation 5p + 3s = -7, what is the value of p? 33. If ΔXYM is similar to ΔPZM and x = 9; find the measure of side XM and YZ. X x P 25 Y Z 37 22 M Not drawn to scale Page 3 of 3