Algebra 2/Trigonometry

4. ( -4r 2 s ) 2 (3s 4) 3 4.----~-NameSummer Assignment for students entering into Algebra 2/ TrigFollow the given instructions for each section.I Simplify ea~h of the pol~nomials. Show work on looseleaf paper and place the answerin the column at the right.1. (3a -2b + 5c) + (7a -3c) + (-2b + 7c) 1.2. (2d 3 -6d 2 + 2d -5) -(-d 2 + 7d -2) 2.3. (8r + 3t) -[2 -(t + 3r)] 3~4. 2x( 3x 3 -4x 2 + x -8) 4.5. (6 -t)(6 + t) 5.6. (y -4) 2 6.7. (2u + 3)( 3u -1) 7.8. (x + y)(x -y) + 2(x 2 + Y 2) 8.9. -14x~2 9.21 y310. 27x 3~4 -15x ~ 2 + 36x 6 ~ 10.3x3yII Express each as a single monomial or a constant. Show all work on looseleaf paperand place answer in the column at the right.1. (2x 4)(3x 2) 1.2. (-8a)(3b 3)(5a 2 b) 2.3. (4y 3) 2 3.5. 8 0 5.6. -a 0 6.-

-~c_~mSolve each equation on looseleaf paper. Show all steps. Place answer in the column atthe right.1. 9 -7x = -68 1.2. 15 + 3m -2 = 4 2.3. 22d + 42 = 17d + 27 3.4. 24y + 29 -2y = 22y + 11 4.5. 3w -(6 + w) = 12 5.6. 2(20 -6x) = 8 -4(3x -8) 6.7. 19y -3(4 -3y) = 2(9 + 7y) + 19 7.-8. ~ + ~ = =..2 8.4 14 2IVSolve each inequality on looseleaf paper and graph. Express each answer in intervalnotation and place it in the column at the right.1. 21 + 3x > 15 1.2. 38 -11 w ~ -17 2.3. 29 -8y < 2y -21 3.4. 2(y -3) < Y -15 4.5. --- x + 3x ~ x 5.5 4 26. 5 ~ 3x -1 ~ 11 6.-7. -7 + 2w > 3 and -28 > 3w + 1 7.8. 3x -5 > 10 or 3 -2x < -13 8.9. 17 -2y ~ 5 or ¥2 y > 5 9.

V Simplify each of the following radicals. Show all work on looseleaf paper. Placeanswer in the column at the right.1. lu 1.2. -I121? 2.3. 7 120 3.4. 3 I' + 6 17 4.5. 4 III -8 13 J 5.6. 2/50 + 8/~ 6.7. (6/7)( 213) 7.8. (h+ 2)( 13 -2) 8.9. (2n -2 )( 4/3 + 5) 9.10. 6-1"27 10.3J311. 16 -1100 11.8-12512. 6-19 + 12n7 12.2-13VI Completely factor. Show all steps and place your answer in the column at the right.1. 2x + 10 1.2. 6a + 15b 2.3. 6x 7 + 24x 3 3.4. 50a 12 b 7 + 20a 2 b 3 4.5. x 2 -9 5.

6. 16 -b2' 6. '--'.7. 2Sa 2' -4 7.8. 81b1; -64c1; 8.9. x ! + 7x + 10 9.10. X1; -llx + 10 10.11. x 1; + 3x -10 11.-12. x 1; -4x -12 12.13. x I + X -12 13.14. XI + 8x + 12 14.15. 2x I + llx + 5 15.16. 6x I + x-I 16.17. 4x I -12x + 5 17.18. 5x!+ 14x -3 18.VIISolve each of the quadratic equations on loose leaf paper. Show all work. Placeanswer in the column on the right.1. x I -8x + 12 = 0 1.2. x 2 + 7x + 12 = 0 2.3. x 2 + x -20 = 0 3.4. (2x -3)(3x + 7) = 0 4.5. 2x I -4x + 3 = x 2 -2x + 11 5.~-