Review – Fall Semster Exam Algebra 2 With Trig Show all work.
1) Simplify: 3(5x-y)+4(2x+3y)-5(-2x-2y)
Solve each equation:
2) 7x-2=3x+94 3) 10(1-2y) = - 5 (2y-1)
Solve for the indicated variable:
4) v+w3=p for v 5) Q=2(x+y) for x
6) State the domain: (-1, 1) (-4, 4) (2, 4)(3, 5) (4, 6) (-2, 2,) (-3, 3)(5, 7)
7) Is the relation in #1 a function?
Graph the absolute value equation and name the vertex and graph the inequality
8) y= 2|x - 3| - 1 9) y= -|x| - 2 10) y > |x -3| + 2
Graph the linear inequalities
11) y ≥ -2x -2 12) 2x + 5y ≤ 0
13) Solve and graph the compound inequality: 11≤3x+2≤17
14) Find the equation that is parallel and perpendicular to the line of y= 13x+4.
Evaluate the following functions
15) f(x) = x3 – 4x2 -2x, Find f(3) 16) f(x) = 2x + 2, Find f(-2)
What is the slope of the line
17) Perpendicular to y= -4x – 1 18) Parallel to y= -4x – 2 19) Through (-2, 3) and (5, 1)
Graph the quadratic functions
20) y = x2 + 1 21) y= x2 – 8x + 12 22) y= -(x-3)2 – 4
Solve each equation by factoring
23) x2 - 7x +10 = 0 24) 5x2 – 16x = -3 25) 2x2 – 20x = 0
Solve each equation by taking the square root
26) 4x2 + 20 = 0 27) 9x2 – 16 = 0 28) (x + 5)2 = 20
Solve using the quadratic formula
29) 8x2 + 6x + 5 = 0 30) 2x2 – x – 6 = 0
Graph each of the following quadratic functions.
31) y=x2-3 32) y=(x-2)2+3 33) y=x2+2x+3
34) Write an equation of the function in standard form with the given zeros x= 0, 3, 5
35) Find all zeros x4 -2x2 – 24 = 0
36) Divide Using Synthetic Division (x5 -4x4 + 5x2 -17x – 12) ÷ (x – 4)
37) Use Synthetic Division to completely factor the polynomial x3 +2x2 -25x – 50; x – 5
38) State the possible rational roots for each function. y= 3x3 + 9x2 + 4x + 12
39) State the possible rational roots for each function. Find all rational zeros. y= x3 -13x2 + 23x – 11
A polynomial function has the following zeros. Find any additional roots.
40) 1 + 2√2, -3 + √7 41) 2 – 3i, 5
Simplify the following complex expressions
42) √-4 + 7 43) (7 + 6i) – (-7 + 4i) 44) 5i(4- 7i) 45) (2 + 3i)(4- 2i)
Make sure also to review piecewise functions and domain/range. Refer to the reviews that we did the week before exams.