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WorksheetsAlgebra 2 Review
Total questions: 25
Worksheet time: 1hrs 20mins
Name
Class
Date
1.
Write the polynomial in standard form given the following zeros. x = -2, 1, 4
a)
f(x) = (x+2)(x-1)(x-4)
b)
f(x) =x3 - 3x2 - 6x + 8
c)
f(x) = x3 + 8
d)
f(x) = x3 - 3x2 + 8
2.
Solve
8x³+125=0
a)
x=-5/2, x=(-5±5i√3)/4
b)
x=-5/2, x=(5±5i√3)/4
c)
x=-2/5, x=(-5±5i√3)/4
d)
x=-2/5, x=(5±5i√3)/4
3.
if f(x) = x3+8x+24, then find f(-2) using synthetic division.
a)
12
b)
8
c)
0
d)
-6
4.
a)
9
b)
-9
c)
7
d)
-7
5.
Solve
log2(x + 5) = 3
a)
3
b)
4
c)
5
d)
6
6.
Write as a single log: log 12 + 2 log x
a)
log (12 + 2x)
b)
log (14x)
c)
log (12 * 2x)
d)
log (12x2)
7.
Expand ln xy2z3
a)
6(lnx + lny - lnz)
b)
lnx + 2lny - 3lnz
c)
lnx + (1/2)lny + (1/3)lnz
d)
lnx + 2lny + 3lnz
8.
20x³/(5x+10)
a)
A.4x³/(x+2)
b)
B.4x³/(x+10)
c)
C.2x³/(5x+1)
d)
D. 2x³/(x+5)
9.
(x²+11x+24)/(x²+4x-32)
a)
A.(x+7)/(x+4)
b)
B.3/4
c)
C.(x+3)/(x+4)
d)
D.(x+3)/(x-4)
10.
Simplify
a)
(x-9)/(x+9)
b)
1/(x-9)
c)
(x+9)
d)
1/(x+9)
11.
a)
10 / 14a4
b)
21 / 49a4
c)
3 / a4
d)
3 / 7a4
12.
a)
(n + 4) / 10n
b)
(n + 4) 10
c)
1 / (n - 7)
d)
(n - 7) / 10n
13.
Simplify. Begin by factoring (check for GCF).
a)
A
b)
B
c)
C
d)
D
14.
Solve for x
a)
x = 6, -3
b)
x = 6
c)
x = -3
d)
x = -6, 3
e)
x=3
15.
Which of the following is the factored form of x3 – 125?
a)
(x - 5)3
b)
(x - 5)(x2 + 25)
c)
(x - 5)(x2 + 5x + 25)
d)
(x - 5)(x2 - 5x + 25)
16.
Which is a factor of 3x2 + 10x – 8 = 0?
a)
(x - 4)
b)
(2x - 3)
c)
(x + 6)
d)
(3x - 2)
17.
If f(x) = -3x and g(x) = -x + 8, which of the following expressions represent g(f(x))?
a)
3x - 24
b)
3x + 8
c)
3x2 - 24
d)
3x2 + 8
18.
−49− 49
Rewrite
4 lines
19.
Simplify:
(4 + 7i) - (3 + 2i)
(4 + 7i) - (3 + 2i)
a)
1 + 5i
b)
7 + 9i
c)
1 + 9i
d)
-1 + 5i
20.
What is the equation of this graph?
a)
f(x) = (x -5)2 + 1
b)
f(x) = (x - 1)2 - 5
c)
f(x) = (x + 1)2 - 5
d)
f(x) = (x + 5)2 +1
21.
If the blue is f(x)=x2, then the red must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
22.
Find the inverse of f(x) = x2 - 5
a)
f-1(x) = √(x) + 5
b)
f-1(x) = ∛(x-5)
c)
f-1(x) = ±√(x+5)
d)
f-1(x) = x2 - 5
23.
a)
a6 / b12
b)
b12/ a4
c)
a12 / b6
d)
1 / a6b10
24.
Solve for x:
5 e6x+3 = 0.1
5 e6x+3 = 0.1
a)
-1.152
b)
0.232
c)
-3.077
d)
-0.854
25.
Which of the following is NOT true of the graph of g(x) = -1 - 3x2 + x3
a)
Rises to the right and falls to the left
b)
Cubic function
c)
y-intercept is -1
d)
x-intercept is -1
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