WorksheetsExam Review Algebra II Semester 2
Total questions: 57
Worksheet time: 6hrs 21mins
Solve using Square Roots -5x2 = -50
± 5
± 10
± √10
-10
Solve using Quadratic Formula
x2 + 10x + 14 = 0
-4 , -16
-1 , 11
-5 ±√11
100 ±√44
Solve using Quadratic Formula
A
B
C
D
Simplify:
(7 + 2i)(9 - 6i)
75-24i
63 - 24i - 12i2
51 - 24i
75 + 60i
(5-2i) + (-7+8i)
Use Quadratic Formula to solve for x. Remember to consider complex roots.
x = {-3+2i, -3-2i}
x = {7, 6}
x = 2±i√3
No solution
Classify this polynomial by its degree and number of terms: 4x6
Cubic monomial
Linear binomial
6th degree binomial
6th degree monomial
Find all roots/zeros and name any multiplicity.
(2x - 1)3(x - 5) = 0
-1/2, 5
1/2 multiplicity 3, 5
1/2 Multiplicity 1, -5
-1/2, -5
What are the roots/zeros of the polynomial function?
y = x(x - 6)(x + 5)7
0, 6, -5 Multiplicity 7
6, -5 Multiplicity 7
0, -6, 5 Multiplicity 7
1, -6, 5
Write the polynomial in standard form given the following zeros. x = -2, 0, 4
f(x) = (x+2)(x-4)
f(x) =x3 - 2x2 - 8x
f(x) = x3 + 8
f(x) = x3 +2x2 - 8
Simplify the radical...
√(20a²b5)
2ab²√(5b)
4ab²√5
5ab²√2
2a²b²√5
Reduce radicals and combine where possible.
-12√5 - 2√6
-7√6
-7√19
simplest form
What must be true to add or subtract radical expressions?
Same index
Same radicand
Both the same index and radicand
You may add any expressions. No restrictions.
(7 − √2)(5 + √2)
33 + 2√2
29 + 7√3 − 5√2
35 +√4
√50
5√10 ⋅ 2√12
20√30
8√2
√450
15√2
Given 11√(9x3) What is the index of the radical?
11
2
3
9
∛x⁷
y¹⁄ ³
Re-write the expression in radical form.
6x2/3
6∛x2
√6x3
(1/x)
∛x6
Solve
v = -14
v = 14
No Solution
v = 28
Solve.
No Solution
a = 6
a = 3
a = 4
Solve √(2x-1) = -5 Check for Extraneous Solutions
No Solution
a = 5
a = 13
a = 4
Solve. (2x-5)1/3=3
16
3
7
no solution
(1,3)(2,4)(6,8)
Find the inverse of f(x) = 4x - 12
f-1(x) = 4x + 12
f-1(x) = (x + 12 ) / 4
f-1(x) = 1/12x + 3
f-1(x) = -4x - 12
Find the inverse
f(x)=√(2x-10)
y =1/2x+10
y = (x2+10)/2
y = (x2 -10)/2
y = 2-2/5x
Which function matches the graph?
A
f(x) = √(x - 4) - 2
B
f(x) = √(x + 2) - 4
C
f(x) = √(x - 2) - 4
D
f(x) = √(x + 4) - 2
When graphing y = 3 + √(x-4), what is your starting point?
(3, 4)
( 3, -4)
( 4, 3)
(-4, 3)
Given y = (2.7)x , Identify the initial value and percent of growth.
Initial value = 2.7, Growth is 70%
Initial value = 1, Growth is 70%
Initial value = 1, Growth is 170%
Initial value = 2.7, Growth is 370%
Every year the population drops by 4.5%. What is the population after 3 years?
The city of Whoville has been much more stable since the Grinch turned his life around. The population of 900 is increasing at a rate of 7.5% per year. If the population continues growing at the same rate, how many people will there be in 11 years?
424288
1994
10642
900
62 = 36
Rewrite log28 = 3 in exponential form
28 = 3
23 = 8
32 = 8
83 = 2
What is the base of 6log x3
0
1
6
10
Write the logarithm expression as a single logarithm
log460 - log44 + log4x
log415
log415x
log456x
xlog430
Write the logarithm expression as a single logarithm
2log 4 + log 2
log 8
log 16
log 32
log 82
5-3x - 1 = 25
Solve log (5x) + log 4 = 2
0.1
5
2/9
-2
