Q3 Algebra 2 Exam SAVE (1).docx

SAVE Program Quarter 3 Exam Algebra 2 Ms. Lucy Monette Algebra 2 Quarter 3 EXAM: SAVE Program Graphing Solutions to Quadratic Inequalities 1. Solve for x and graph the solution. (x-2) (x+4) ≥ 0 2. Solve for x and graph the solution. (x-4) (x-5) ﹤ 0 3. Solve for x and graph the solution. x2 - 2x - 1...

SAVE Program Quarter 3 Exam Algebra 2 Ms. Lucy Monette Algebra 2 Quarter 3 EXAM: SAVE Program Graphing Solutions to Quadratic Inequalities 1. Solve for x and graph the solution. (x-2) (x+4) ≥ 0 2. Solve for x and graph the solution. (x-4) (x-5) ﹤ 0 3. Solve for x and graph the solution. x2 - 2x - 15 ≥ 0 Matching Polynomials and Graphs 4. Match each polynomial function to its graph. f(x) = x3 + 18x2 + 108x + 217 h(x) = -x3 + 18x2 - 108x + 216 g(x) = x4 + 3x2 + 1 k(x) = -x4 - 5x2 - 3 Adding/Subtracting/Long Division/Multiplication of Polynomials 5. (2q + 7) - (q - 6) = ___________________________ 6. (4p2 + 7p + 8) + (4p + 2) = ___________________________ 7. (-7j-14) ➗ (j+2) = ____________________________ 8. (-8w5 - 30w4 + 52w3 - 50w) ➗ (w+5) = ____________________________ 9. (-8t4)(5t2) = _________________________ Writing Polynomials from Roots 10. Write a polynomial of least degree with roots 3 and 7. ______________________________ 11. Write a polynomial of least degree with roots 2, -8 and -5. ___________________________ Roots of Integers 12. 3$\sqrt{}$64 = ____________ 13. 4$\sqrt{}$625 = ____________ 14. How many real fourth roots does -64 have? 2 1 0 15. How many real sixth roots does 256 have? __________ 2 1 0 The Nemesis 16. $\sqrt{}$175 7$\sqrt{}$5 5$\sqrt{}$35 5$\sqrt{}$7 7$\sqrt{}$35 17. $\sqrt{}$18h6 3h3$\sqrt{}$2h 3h3$\sqrt{}$2 3h6$\sqrt{}$2 3h6$\sqrt{}$2h3 18. $\sqrt{}\frac{6}{50v^{5}}$ $\frac{\sqrt{}3}{5v^{2}\sqrt{}v}$ $\frac{\sqrt{}3v}{5v^{3}}$ $\frac{3\sqrt{}3}{5v^{3}}$ $\frac{\sqrt{}3v}{5v^{3}}$ 19. $\frac{7}{8 + \sqrt{}2}$ $\frac{7\sqrt{}8 - \ 7\sqrt{}2}{64 - \sqrt{}4}$ $\frac{56\ - \ 7\sqrt{}2}{62}$ $\frac{56\ - \ 7\sqrt{}2}{64}$ $\frac{\ 56\sqrt{}2}{64}$ Simplify Expressions Involving Rational Exponents 20. r12/5 * r11/5 = ____________ 21. $\frac{z^{11/4}}{z^{9/4}}$ = ____________ 22. $\frac{t^{1/2}}{t^{- 5/2}*\ t^{17/9}}$ = ____________ Solve radical equations 23. $\sqrt{}$-6p = 6 _______________ 24. =8 = -9 + $\sqrt{- 15 + z}$ _______________ Graphing Square Root Functions 25. Graph the function. $y\ = \sqrt{x + 7}$ 26. Graph the function. $y\ = \sqrt{x}$ + 2 Add and Subtract Functions 27. What is (f+g)(x)? f(x) = x g(x) = -3x + 1 -2x + 1 4x + 1 3x2 + 1 x + 1 28. What is (f-g)(x)? f(x) = 5x + 3 g(x) = -4x 9x + 3 x + 3 x - 3 9x - 3 Identify Inverse Functions 29. Is f(x) the inverse function of g(x)? f(x) = $\frac{\ 1}{\ 2}$x g(x) = 2x Yes No 30. Is f(x) the inverse function of g(x)? f(x) = x + 5 g(x) = x - 5 Yes No Material from Quarter 1 & Quarter 2 31. f(x-h) transforms the graph k units ___________, whereas f(x) + k transforms the graph k units ___________. Right, Up Left, Down Right, Down Left, Up 32. x = -6 x + 3y - 3z = 9 x + y - 2z = -2 x = ________, y = ________, z = ________ 33. Using the quadratic formula solve: 7s2 - 9s - 4 = 0 s = _________ or s = _________ 34. Solve by completing the square: q2 + 24q = -11 t = _________ or t = _________ 35. $\sqrt{- 50}$ = _____________ 36. $\sqrt{- 40}$ = _____________