WorksheetsAdvanced Algebra Review Units 1-5
Total questions: 41
Worksheet time: 1hrs 6mins
Name
Class
Date
1.
Simplify.
(b3)8
(b3)8
a)
b11
b)
8b3
c)
b24
d)
24b
2.
a)
d2
b)
d80
c)
d810
d)
d18
3.
a)
a2
b)
a-2
c)
1/a2
d)
a6
4.
Rewrite using radical notation.
a)
b)
c)
d)
5.
Solve
x2 + 7x + 12 = 0
x2 + 7x + 12 = 0
a)
x = -2, x = -10
b)
x = -3, x = -4
c)
x = -4, x = -5
d)
x = -4, x = -6
6.
Factor:
6m2 + 16m
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
7.
Use the quadratic formula to solve 2x2 + 2x - 12?
a)
-2, 3
b)
2, 3
c)
2, -3
d)
-2, -3
8.
(-2 + 7i)(-2 + 2i)
a)
-10 + 8i
b)
-10 - 18i
c)
18 - 10i
d)
-18 - 10i
9.
Choose the correct answer for the operation pictured.
a)
7-13i
b)
7-i
c)
1-13i
d)
1-i
10.
Find the product:
(5n-8)(5n+8)
(5n-8)(5n+8)
a)
25n2-64
b)
10n2
c)
5n2+16
d)
16
11.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
12.
Use synthetic division to divide:
2x3 - 5x2 + 3x + 7 ÷ x - 2
a)
2x3 - x2 + x + 9
b)
2x2 - x + 1
c)
2x2 - x + 1 + 9/x-2
d)
2x2 - 9x - 15 - 23/x-2
13.
If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?
g(x) = 3 - x,
what is g(-4) + f(1)?
a)
7
b)
-2
c)
-9
d)
-10
14.
h(x) = -4x + 3
g(x) = 4x - 2
Find h(g(6))
a)
-107
b)
107
c)
-85
d)
85
15.
What is the Binomial expansion of (x + 1)5 ?
a)
x5 + 5x4 + 10x3 + 10x2 + 5x + 1
b)
x5 + 5x4 + 15x3 + 15x2 + 5x + 1
c)
x5 + 6x4 + 15x3 + 15x2 + 6x + 1
d)
x5 + 1
16.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -(1/4)x - 3
c)
f-1(x) = (1/4)x + 3
d)
f-1(x) = -4x - 3
17.
Identify the zeros:
a)
x=-2, x=-1, x=0
b)
x=-2, x=0
c)
x=-1, x=0, x=2
d)
x=-2, x=0, x=1
18.
What is the relative minimum?
a)
-1.184
b)
8.2
c)
5.949
d)
20.019
19.
Name the polynomial by its degree and number of terms:
-4x3 + 6x2 - x + 10
a)
cubic polynomial
b)
quartic trinomial
c)
quadratic monomial
d)
5th degree quadnomial
20.
Factor by grouping
x3 - 4x2 -4x + 16
x3 - 4x2 -4x + 16
a)
(x+4)(x+2)
b)
(x-4)(x2 -4)
c)
(x+4)(x2 -4)
d)
(x-4)(x-2)
21.
Simplify.
a)
(m+6)/(m-3)
b)
7/(m-3)
c)
7(m+6)
d)
(m-3)
22.
Simplify the expression
a)
(-17x - 12y) / 15x
b)
(23x - 4y) / 15x
c)
(-17x - 4y) / 15x
d)
(-3x - 4y) / 8x
23.
Simplify.
a)
A
b)
B
c)
C
d)
D
24.
Solve the equation for x.
a)
6
b)
12
c)
0
d)
3
25.
Solve for v
a)
- 7/6
b)
- 9/5
c)
9/5
d)
-3
26.
What are the asymptotes?
a)
x=-1 y = -3
b)
x=1 y = -3
c)
x=-1 y =3
d)
x=1, y=3
27.
Determine the x-coordinate of the hole on the graph of
f(x)= (x2-2x + 1)/(x2+2x - 3)
f(x)= (x2-2x + 1)/(x2+2x - 3)
a)
-1
b)
3
c)
1
d)
-3
28.
What are the horizontal and vertical asymptotes?
f(x) =(3x+1)/(x-1)
f(x) =(3x+1)/(x-1)
a)
x=-1 y = -3
b)
x=1 y = -3
c)
x=-1 y =3
d)
x=1, y=3
29.
Solve the equation.
a)
A
b)
B
c)
C
d)
D
30.
Solve
a)
-14
b)
14
c)
no solution
d)
28
31.
Solve.
a)
no solution
b)
6
c)
3
d)
4
32.
a)
y = 2 √(x) - 4
b)
y = - √(x - 4)
c)
y = 2 √(x)
d)
y = 2 √(x) + 4
33.
Describe the transformation
a)
Left 4 units, up 1 unit
b)
Right 4 units, up 1 unit
c)
Left 4 units, down 1 unit
d)
Right 4 units, down 1 unit
34.
log4(3x-1)=log4(2x+3)
a)
4
b)
3
c)
1
d)
8
35.
logx1000=3
a)
1
b)
10
c)
30
d)
3
36.
log8(4x+4)=2
a)
15
b)
12
c)
10
d)
3
37.
Change to Logarithmic Form:
53 = 125
53 = 125
a)
log 5 125 = 3
b)
log 3 125 = 5
c)
log 5 3 =125
d)
log125 3 = 5
38.
Solve for x:
42x + 1 = 17
42x + 1 = 17
a)
x = 1
b)
x = -1
c)
x = 2
d)
x = -2
39.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
40.
Find the asymptote for the following.
a)
x = -1
b)
x = 1
c)
y = 5
d)
y = -5
41.
What is the asymptote of this function:
f(x) = 2x-1 + 3
f(x) = 2x-1 + 3
a)
x = 1
b)
x = -1
c)
y = 3
d)
y = - 3
100 %
