Name________________________________________________ Block_______________ Date_________________ U6T1 Remediation – I can determine the inverse of a function algebraically and graphically. %  · Mastery  · Partial Mastery  · Non-Mastery  1. The graph of a function is given below. Sketch the graph of the inverse of this function on the same coordinate plane. 2. Determine the inverse of the function: 3. Determine the inverse of the function: 4. Determine the inverse of the function: 5. The graph of a function is given below. Sketch the graph of the inverse of this function on the same coordinate plane. Is the inverse a function? Name________________________________________________ Block_______________ Date_________________ U6T2 Remediation – I can perform operations on two functions. %  · Mastery  · Partial Mastery  · Non-Mastery  Complete the following using the functions: 6. 7. 8. 9. 10. A craftsman makes and sells pianos. The function represents his cost in dollars to produce pianos. The function represents his income in dollars from selling pianos. a) Write and Simplify the profit function below. b) Find the profit he earns when he makes and sells 22 pianos. Name________________________________________________ Block_______________ Date_________________ U2T3 Remediation – I can calculate the composition of two functions, and use the composition to determine if two functions are inverses. % · Mastery  · Partial Mastery  · Non-Mastery  Complete each of the following using the functions: 11. 12. 13. 14. Using function composition, determine if the functions below are inverses of each other. 15. A salesperson earns a 5% bonus on weekly sales over $125,000. a) Consider the functions and . Explain what each of these functions represents. b) Which composition, or , represents the actual weekly bonus the salesperson earns? Explain. Name________________________________________________ Block_______________ Date_________________ Algebra II Unit 7– Polynomial Functions - Remediation Obj 07c – I can understand the fundamental theorem of Algebra and its effects on multiplicity. 1. Identify the number of zeros for the polynomial shown. 𝑓(𝑥) = (𝑥 − 3)2(𝑥 + 2)(𝑥 − 1)3 2. What degree polynomial has 2 imaginary solutions and 3 real solutions? 3. The polynomial below has at least 1 imaginary solution. What could the minimum degree of the polynomial be? 4. For the 7th degree polynomial below find the number of real and imaginary solutions. Real: ___________ Imaginary: ________ 5. Determine the number of real and imaginary solutions for the polynomial shown. ℎ(𝑥) = 𝑥5 − 4𝑥3 + 3𝑥 Real: ___________ Imaginary: ________ Obj 07c – I can understand the fundamental theorem of Algebra and its effects on multiplicity. Remediation Divide the polynomials. 6. (30

1. Name________________________________________________
Block_______________ Date_________________
U6T1 Remediation – I can determine the inverse of a function
algebraically and graphically.
%
· Mastery
· Partial Mastery
· Non-Mastery
1. The graph of a function is given below. Sketch the graph of
the inverse of this function on the same coordinate plane.
2. Determine the inverse of the function:
3. Determine the inverse of the function:
4. Determine the inverse of the function:
5. The graph of a function is given below. Sketch the graph of
the inverse of this function on the same coordinate plane.
Is the inverse a function?

2. Name________________________________________________
Block_______________ Date_________________
U6T2 Remediation – I can perform operations on two
functions.
%
· Mastery
· Partial Mastery
· Non-Mastery
Complete the following using the functions:
6.
7.
8.
9.
10. A craftsman makes and sells pianos. The function

3. represents his cost in dollars to produce pianos. The function
represents his income in dollars from selling pianos.
a) Write and Simplify the profit function below.
b) Find the profit he earns when he makes and sells 22 pianos.
Name________________________________________________
Block_______________ Date_________________
U2T3 Remediation – I can calculate the composition of two
functions, and use the composition to determine if two functions
are inverses.
%
· Mastery
· Partial Mastery
· Non-Mastery
Complete each of the following using the functions:
11.
12.

4. 13.
14. Using function composition, determine if the functions
below are inverses of each other.
15. A salesperson earns a 5% bonus on weekly sales over
$125,000.
a) Consider the functions and . Explain what each of these
functions represents.
b) Which composition, or , represents the actual weekly bonus
the salesperson earns? Explain.

5. Name________________________________________________
Block_______________ Date_________________
Algebra II Unit 7– Polynomial Functions - Remediation
Obj 07c – I can understand the fundamental theorem of Algebra
and its effects on multiplicity.
1.
Identify the number of zeros for the
polynomial shown.
�(�) = (� − 3)2(� + 2)(� − 1)3
2.
What degree polynomial has 2 imaginary
solutions and 3 real solutions?

6. 3. The polynomial below has at least 1
imaginary solution. What could the
minimum degree of the polynomial be?
4. For the 7th degree polynomial below find the
number of real and imaginary solutions.
Real: ___________ Imaginary: ________
5. Determine the number of real and imaginary solutions for the
polynomial shown.
ℎ(�) = �5 − 4�3 + 3�
Real: ___________ Imaginary: ________
Obj 07c – I can understand the fundamental theorem of Algebra
and its effects on multiplicity.
Remediation

7. Divide the polynomials.
6.
(30�3 − 21�2 + 24� − 90) ÷ (6� − 9)
7.
(24�3 − 32�2 − 64� + 65)
8� − 8
9. �� + ��� + �
� + �
10. (3 + 13�2 + 7�3 + 15� + �4) ÷ (� + 1)

8. Obj 07e – I can write the equation of a polynomial function
given a graph or the zeros. Remediation
Write the equation of the polynomial with the least degree from
the information given in standard form.
10.
Zeros: 4, -1, √2, −√2
11.
Roots: -4, 3i, -3i

9. Write the equation of the polynomial with the least degree from
the information given in any form.
12.
13.
Name________________________________________________
Block_______________ Date_________________
Algebra II Unit 8a– Rational Functions - Review
Target
Obj 08A – I can simplify, multiply and divide algebraic
expressions with common monomial or binomial
factors
Obj 08b – I can add and subtract rational expressions with
common monomial or binomial factors.
Simplify each rational expression below. State any restrictions
on the variables.

10. 1.
5�3−45�
10�2(�+3)(�−3)
2.
5�2−40�
�2−6�−16
÷
5�
�−5
3.
�−4
3�2−4�−4
∙
7�2−19�+10
5�−20

11. 4.
�2−49
�2−25
÷
3�2+21�
�+5
4. Which expression can be simplified to
�+2
�−3
? Select all that apply.
A.
�2+6�+8
�2+�−12
B.
�2−3�−2
�2+2�−3

12. C.
�2−2�−8
�2−7�+12
D.
�2+5�+4
�2+7�+12
5. Which is an equivalent form of this expression if defined.
2�2
�2 − � − 42
∙
�2 − 10� + 21
� − 3
A.
9�
4
B. 6 C.
2�2

13. �+6
D. 5
Simplify each rational expression below.
5.
�−1
�+5
−
4
5
7.
�
�−2
+
�−12
(�+3)(�−2)
8.
3
�+1

14. +
�
�−1
9.
3�
�2−25
−
1
�2−10�+25
Name________________________________________________
Block_______________ Date_________________
Algebra II Unit 8a– Rational Functions - Review
Target
Obj 08A – I can simplify, multiply and divide algebraic
expressions with common monomial or binomial
factors

15. Obj 08b – I can add and subtract rational expressions with
common monomial or binomial factors.
Simplify each rational expression below. State any restrictions
on the variables.
1.
5�3−45�
10�2(�+3)(�−3)
2.
5�2−40�
�2−6�−16
÷
5�
�−5
3.
�−4
3�2−4�−4
∙
7�2−19�+10
5�−20

16. 4.
�2−49
�2−25
÷
3�2+21�
�+5
4. Which expression can be simplified to
�+2
�−3
? Select all that apply.
A.
�2+6�+8

17. �2+�−12
B.
�2−3�−2
�2+2�−3
C.
�2−2�−8
�2−7�+12
D.
�2+5�+4
�2+7�+12
5. Which is an equivalent form of this expression if defined.
2�2
�2 − � − 42
∙
�2 − 10� + 21
� − 3
A.

18. 9�
4
B. 6 C.
2�2
�+6
D. 5
Simplify each rational expression below.
5.
�−1
�+5
−
4
5
7.
�
�−2
+
�−12
(�+3)(�−2)

19. 8.
3
�+1
+
�
�−1
9.
3�
�2−25
−
1
�2−10�+25