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Algebra II Fall Final Questions 1) Know how to change a linear equation in slope intercept form and write it in standard form and vice versa. Change y = 2x -3 to standard form Change 2x – 3y = 5 to slope-intercept form 2) Know the difference between a relation and a function. (p. 77 #16-19) 3) Understand compound inequalities (and how to graph) both conjunctions (and) and disjunctions (or). (p. 45 #37-48) 4) Understand all the properties for exponents. (p. 330 (Key Concepts) & p. 420 (Key Concepts)) 5) Know how to add/subtract/divide/multiply polynomial equations. (p. 349 #3-14, 16-37 p. 366 #3-18) 6) Understand the nature of the discriminant ( b 2 4ac ) of a quadratic equation. (p. 296 #31-39) 7) Know how to find the determinant of a 2x2 and 3x3 matrix. (p. 207 #3-18) 8) Know how to solve systems of equations both 2 and 3 unknowns. (p. 164 #15-26, p.182 #9-14) 9) Know how to find the inverse of a function. (p.442 #3-11, p.443 #22-27) 10) Know how to factor or solve. a. Using “math riddle” when lead coefficient is 1. (p.255 #3-14, p.256 #24-38) b. Using “math riddle” when lead coefficient is not 1. (p.263 #3-11) c. Completing the square. (p.288 #22-33) d. Perfect Squares (p. 256 #17-23, p. 263 #16-21) e. Difference of squares (p. 256 #16-17, p.263 #13-15) f. Sum/Difference of cubes (p. 357 #10-17) g. Factor by grouping (p. 357 #18-23) h. There will be NO factoring of perfect cubes as I promised 11) Know how to simplify radical expressions. (p. 424 #15-40, 425 #52-59) 12) Know how to solve equations with absolute values. (p. 55 #9-39) 13) Know how to solve and graph inequalities with absolute values. (p. 56 #43-62) 14) Know the rational root theorem, and then from that, find the root(s) of a polynomial. (p. 374 #3-10, p. 375 #41-43) 15) Know how to graph a quadratic equation either by the –b/2a vertex method or the x-intercept method. (p. 249 #13-21, p. 240 #21-32) 16) Know how to divide polynomials using either long division or synthetic division. (p. 366 #3-18) 17) Know how to graph equations whose parent graph is: a. y = y x 2 (p. 249 #3-11) b. y = x3 x (p. 449 # 16-24) c. y = d. y = 3 x (p. 449 # 16-24) 18) Know how to rationalize the denominator of a fraction whose denominator is either a complex number or is a radical expression. (p. 280 #28-33 and p.269 #11-18) 19) Know how to add/subtract/multiply/divide or find the composition of functions. (p. 432 #3-10, 12-19, 20-35) 20) Know how to find the equation of a line given 2 points the line goes through. (p. 102 #30-38) 21) Know how to find the equation of a line given another line that is parallel/perpendicular to that line and a point that goes through that line. (p. 102 #20-25, p.449 # 16-24) 22) Know how to graph a linear inequality. (p. 135, #7-18) 23) Know how to convert a number from radical form to exponential form and vice versa. (p. 417 #7-14) 24) Know how to solve quadratic equations by finding square roots. (p. 270 #22-33) 25) Know how to solve radical expressions. (p. 457 #34-42, #45-52) 26) There will be a word problem utilizing basic algebra, but I won’t be any more specific than that. 27) Know how to solve an algebraic equation with one variable. (p.22 #33-40) 28) Know how to simplify an algebraic expression (p.6 #17-22) 29) Know how to graph equations with absolute values. (p.127 #3-14)