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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)