Honors Geometry / Algebra II B Final Review Packet 2018-19 Name _____________________________ Per__ Date______ This review packet is a general set of skills that will be assessed on the midterm. This review packet MAY NOT include every possible type of problem that is assessed on the final exam. Unit 7: Radical Functions Simplify. 1. 20 125 45 2. 2 6 2 2 3 i i 3. 5 3 4 3 4. 6 36 5. 4 1 81 6. 3 6 4 56hk 7. 5 3 125 8. 3 3 15 81 9. 5 3 5 3 256 n n 10. 3 7 49 11. 3 2 4k 12. 3 100 13. 5 5 64 4 2 14. 3 3 8 2 9 15. 3 2 5 1 3 3 2 n n n
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Honors Geometry / Algebra II B Final Review Packet 2018-19 · 13. 2 log 10 log 2 22 yy 14. log 121 2 b 15. 2log log 4 log 25 3 3 3 x 16. log log ( 2) 3 ... Draw and angle with the
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Honors Geometry / Algebra II B Final Review Packet
2018-19
Name _____________________________ Per__ Date______
This review packet is a general set of skills that will be assessed on the midterm. This review packet MAY NOT
include every possible type of problem that is assessed on the final exam.
Unit 7: Radical Functions
Simplify.
1. 20 125 45 2. 2 6 2 2 3i i 3. 5 3
4 3
4. 6 36 5. 41
81 6. 3 6 456h k
7. 5
3125 8. 3
3
15
81
9.
5 3
5
3
256
n
n
10. 37 49 11. 3
24k
12. 3 100
13. 55 64 4 2 14. 3
3
8 2
9 15.
3
2
5
1 33 2
n
n n
Solve each equation.
16. 6 3 0z 17. 5 2 4 0x x
18. 12 2y y 19. 1 6 1b b
20. 3 2 3 4x 21. 34 2 11 2 10x
22. 2 9 6 10 2x x 23. 2 281 27x x
24.
3
25( 2) 320x 25.
4
3( 1 2 ) 81h
Unit 8: Polynomial Functions
Simplify by using long division.
1. 14 3 25 31 25 29 20 5k k k k k
2. 4 310 5 20 11 10 5p p p p
Simplify by using synthetic division.
3.
3 25 41 41
9
y y y
y
4. 4 24 2 12 2p p p p
State whether the given graph is an even-degree polynomial or odd-degree polynomial, state the number of
real zeros of the polynomial. Describe the end behavior using arrow notation.
5.
For each polynomial function:
a) List each real zero and their multiplicities.
b) Sketch the curve WITHOUT A CALCULATOR.
6. 2( ) ( 4) ( 5)f x x x x b)
a)
7. 3 2( ) 6 9 54f x x x x b)
(Hint: Factor by grouping)
a)
Given the polynomial function, use a graphing calculator to:
a) Find each real zero.
b) Find each relative maximum and minimum.
c) Sketch the function.
16. 4 2( ) 4 2 4f x x x x c)
a) ________________________________
b) ________________________________
Unit 9: Rational Functions
Simplify.
1. 2
1711
a
b 2.
7 4
8 8y y
3.
2
2
4 3 6
m
m m
4. 2 2
6 5
3 2 4x x x
5.
2 2
1 5
9 20 10 25h h h h
6.
2
1 2
9 3 3
x
x x x
7. 4 216 4
4 8 4
x x
x x
8.
2
2
6 5 4
4 4 35 2
x x x
x x x
9.
2 2
2 2
5 6 2 8
3 4 4 3
x x x x
x x x x
Solve each equation. Remember to check for extraneous solutions.
10. 2
2 2
2 13 15 11
3 6
a a a
a a
11.
2
3 1 7
5 6 2 3
x
x x x x
12. 2
2 1
36 6 6
a
a a a
13.
2
1 3 1
5 25 5
x x x
x x x
Write the equation of the function graphed below. (The enlarged point represents a hole)
14.
For each rational function, find the x- and y-intercepts, horizontal asymptotes, vertical asymptotes, and holes.
Then, graph the function.
15. 3 2
3 2
2 8( )
3 4
x xf x
x x x
x-intercept(s): _______________
y-intercept: _______________
HA: _______________
VA: _______________
Hole(s): _______________________
16. 2
4( )
3 3 36
xg x
x x
x-intercept(s): _______________
y-intercept: _______________
HA: _______________
VA: _______________
Hole(s): ________________________
Unit 10: Exponential/Logarithmic Functions
Evaluate each expression.
1. 12
1log
144 2. 8log 32,768 3.
7
5log 5 4. ln 42e
Use 3log 28 3.0331 and 3log 4 1.2619 to approximate the value of each expression.