Accelerated Algebra Chapter 8 Study Guide

Name: ______________________ Class: _________________ Date: _________ ID: AAccelerated Algebra Chapter 8 Study GuideShort AnswerFind the GCF of the set of monomials.1. 44s 4 t 2 , 84s 2 t2. 69x 4 y 2 , 84xy 2 , 108x 3 y 2Factor the trinomial.3. x 2 + 11x + 304. g 2 − 3g − 545. 8b 2 − 2001

Name: ______________________ID: AFactor the trinomial, if possible. If the trinomial cannot be factored using integers, write prime.6. 5t 2 + 14t + 87. 100v 2 − 3248. 4n 3 + 20n 2 − 64n − 320Solve the equation by factoring.9. 25d 3 − 36d = 010. d 2 − 14d + 49 = 1011. ( w − 5) 2 = 92

Name: ______________________ID: ASolve the trinomial equation.12. r 2 − 11r + 28 = 013. k 2 + 3k = 108Solve the equation.14. 15x 2 − 28x + 5 = 015. 15y 2 − 27y + 2 = y + 63

Name: ______________________ID: A16. The length of a rectangle is 4 more than its width. The area of the rectangle is 45 square centimeters. What isthe length and width of the rectangle?17. An owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) perday by selling n number of key rings is given by n 2 − 2n − 3, where n is the number of key rings in thousands.Find the number of key rings sold on a particular day when the total profit is $5000.4

Name: ______________________ID: A18. A model rocket is shot into the air from ground level with the upward velocity of 80 feet per second. Find thetime taken by the rocket to reach the height of 96 feet.19. A soccer player kicks a soccer ball with the velocity of 32 feet per second. If the soccer ball reaches theheight of 16 feet, how long does it stay in the air?5

ID: AAccelerated Algebra Chapter 8 Study GuideAnswer SectionSHORT ANSWER1. 4s 2 t2. 3xy 23. ( x + 6) ( x + 5)4. ( x + 6) ( x − 9)5. 8 ( b + 5) ( b − 5)6. (5t + 4)( t + 2)7. 4 ( 5v + 9) ( 5v − 9)8. ( n + 5) ( 2n + 8) ( 2n − 8)Ï9. 0, − 6 5 , 6 ¸ÌÔ˝ÔÓÔ5 ˛ÔÏ ¸10. ÌÔ7 ± 10ÓÔ˝Ô˛ÔÏ11. ÌÔ ¸2, 8ÓÔ˝Ô˛ÔÏ12. ÌÔ ¸7, 4ÓÔ˝Ô˛ÔÏ13. ÌÔ ¸−12, 9ÓÔ˝Ô˛ÔÏ514.3 , 1 ¸ÌÔ˝ÔÓÔ5 ˛ÔÏ15. − 2 ¸ÌÔÓÔ15 , 2 ˝Ô˛Ô16. 9 cm and 5 cmw( w + 4) = 45w 2 + 4w − 45 = 0Two variables, m and n, exist such that x 2 + ( m + n)x + ( m × n).m + n = 4 and m × n = −45.Make a table to find the possible solutions.17. 4000 key ringsn 2 − 2n − 8 = 0Two variables, m and n, exist such that x 2 + ( m + n)x + ( m × n).m + n = −2 and m × n = −8.Make a table to find the possible solutions.1

ID: A18. 2 sA model for the vertical motion of a projected object is given by the equation h = −16t 2 + vt + s, where h is theheight in feet, t is the time in seconds, v is the initial velocity in feet per second, and s is the starting height ofthe object in feet. Use this equation to find the time taken by the rocket to reach the height of 96 feet.19. 2 sA model for the vertical motion of a projected object is given by the equation h = −16t 2 + vt + s, where h is theheight in feet, t is the time in seconds, v is the initial velocity in feet per second, and s is the starting height ofthe object in feet. Use this equation to find the time taken for which the ball remains in the air beforetouching the floor.2