WorksheetsAdv. Algebra 2 - 2nd Sem. Final
Total questions: 26
Worksheet time: 13mins
Name
Class
Date
1.
Find p(-1) and p(5) for:
p(x) = 5x4+11x3-10x2+13x+5
p(x) = 5x4+11x3-10x2+13x+5
a)
-24; 4,320
b)
-34; 1,820
c)
2; 4,268
d)
-29; 4,315
2.
Determine consecutive values of x between which each real zero is located:
f(x) = -21x4-8x3-18x2+14x+9
f(x) = -21x4-8x3-18x2+14x+9
a)
between x=2 and 3, x=1 and 2, x=-1 and -2, x=-2 and -3
b)
between x=1 and 0, x=0 and -1
c)
between x=0 and 1
d)
between x=0 and -1
3.
Factor the polynomial completely:
4a4b2 - 6a3b2
4a4b2 - 6a3b2
a)
2(2a4b2 - 3a3b2)
b)
2a3b2(2a - 3)
c)
a3b2(4a - 6)
d)
2a2b2(2a2 - 3)
4.
Find the real roots of the polynomial:
x4 - 34x2 + 255 = 0
x4 - 34x2 + 255 = 0
a)
3,-3,5,-5
b)
3,-3,7,-7
c)
5,-5
d)
2,-2,9,-9
5.
Find g(2) and g(-7) for:
f(x) = 2x4-5x2+2x-6
f(x) = 2x4-5x2+2x-6
a)
22; 4,565
b)
-6; -608
c)
10; 4,537
d)
50; 2,148
6.
(x-3) is a factor of 36x3+24x2-275x-363.
Find the remaining factors.
Find the remaining factors.
a)
(6x - 11)2
b)
2(6x + 11)
c)
(6x + 11)(6x + 11)
d)
(6x + 11)(6x - 11)
7.
List all the possible zeros of
f(x) = x6-6x5-17x4+82x3+20x2-13x+100
f(x) = x6-6x5-17x4+82x3+20x2-13x+100
a)
±1,2,4,5,10,20,25,50,100
b)
-1,-2,-4,-5,-10,-20,-25,-50,-100
c)
±1,2,4,5,10,20,25,50
d)
1,2,4,5,10,20,25,50
8.
Find all the rational zeros:
f(x) = 36x4+66x3-18x2-12x
f(x) = 36x4+66x3-18x2-12x
a)
½, 0, -⅓, -2
b)
-½, 0, -⅓, -2
c)
-⅓, -2
d)
½, 0
9.
Describe the critical attributes of
y = -8√(9 -3x) + 4
y = -8√(9 -3x) + 4
a)
y-int: -20
D: x ≤ 3
R: y ≥ 4
D: x ≤ 3
R: y ≥ 4
b)
y-int: -20
D: x ≤ 3
R: y ≤ 4
D: x ≤ 3
R: y ≤ 4
c)
y-int: -20
D: x ≥ 3
R: y ≥ 4
D: x ≥ 3
R: y ≥ 4
d)
y-int: -5
D: x ≤ 3
R: y ≥ 4
D: x ≤ 3
R: y ≥ 4
10.
Solve:
a)
17/3
b)
19/3
c)
2/3
d)
1
11.
Solve:
a)
x > 191/4
b)
x > 23/2
c)
x > -1
d)
x > 1/4
12.
Describe the critical attributes of the graph of the function:
a)
Growth;
R: y < 3
R: y < 3
b)
Growth;
R: y < -3
R: y < -3
c)
Growth
R: y < 0
R: y < 0
d)
Decay
R: y > -3
R: y > -3
13.
State the domain & range of
y = 5x + 4
y = 5x + 4
a)
D: ℜ
R: y > 4
R: y > 4
b)
D: ℜ
R: y < 4
R: y < 4
c)
D: ℜ
R: y > 5
R: y > 5
d)
D: ℜ
R: y < 5
R: y < 5
14.
Solve:
a)
n = 10/9
b)
n = 2
c)
n = 2/9
d)
n = 1/3
15.
Solve:
a)
n < 3/5
b)
n < 9/5
c)
n < 1
d)
n < 3
16.
The production of a new car model in the year 2000 was 1.25 million units. In the year 2010, it rose to 3.5 million. If production grows at the same rate, find the estimated difference in the increase between 2010 and 2025.
a)
12.75 million
b)
16.2 million
c)
1.9 million
d)
1.108 million
17.
Write in exponential form:
a)
7 -2 = (1/49)
b)
27 = 49
c)
72 = 49
d)
(-2)7 = 1/49
18.
a)
18
b)
27
c)
9
d)
2/3
19.
a)
b > 1/81
b)
b > 1/3
c)
b > 103
d)
b > 3
20.
Use log43≈0.7925 and log44 = 1 to approximate the value of log448
a)
2
b)
0.6931
c)
48
d)
2.7925
21.
Solve:
a)
1726
b)
10
c)
154
d)
1728
22.
Simplify:
a)
8(a+3)(a+2)
43(a+11)(a-11)
43(a+11)(a-11)
b)
8(a+2)
43(a-11)
43(a-11)
c)
8(a+3)(a+2)
43(a-11)
43(a-11)
d)
8(a+2)
43(a+11)
43(a+11)
23.
Simplify:
a)
35b + 8a
5b
5b
b)
7 + 8a
5b
5b
c)
35 + 8a
5b
5b
d)
7b + 8a
5b
5b
24.
Simplify:
a)
160x - 3y4
8x2y2
8x2y2
b)
20 = 3y2
8x2y2
8x2y2
c)
160x - 3xy4
8x3y2
8x3y2
d)
160x - 3sy2
8x2y2
8x2y2
25.
Solve:
a)
6
b)
1/6
c)
8
d)
1/8
26.
Solve:
a)
p < 0
b)
p > 0; p > 5
c)
p > 5
d)
p < 0; p > 5
100 %
