Exam%1% % % Name:%_____________________________________% % % % % RHS%Alg%2%&%Trig%%Part%I%–%Multiple%Choices%(4%points%each)%1. The%expression% %is%equivalent%to%

%1)% %2)% %

3)% %

4)% %

%%

2. The%expression% %is%equivalent%to%

%1)%

%

2)%%

3)%%

4)%%

%

3. The%expression% %is%equivalent%to%

%1)%

%

2)%%

3)%%

4)% %%

4. If% %and% ,%what%is%the%value%of%the%expression% ?%

%1)%

%

2)% %3)%

%

4)%%

%

5. The%expression% %is%equivalent%to%%

1)%%

2)%%

3)%%

4)%%

%%%%%Part%II%–%Free%Response%(8%points%each)%%

6. What%is% %when%it%is%expanded?%

%%%%%%%%

7. Multiply%then%simplify%%

%.%

%%%%%%%%

8. Express% %with%a%rational%denominator,%in%simplest%radical%form.%

%%%%%%%%

9. Express% %in%simplest%radical%form.%%%%%%%%%%%

10. Express% 2x−1/2y1/3 ,%using%radicals.%%

%%%%%%%%%%

11. Simplify%and%express%the%given%using%positive%exponents.%%2!!!!!3! !!!!%

%%%%%%%%%%

12. Evaluate% 2− 3 ! 2+ 3 %%%%%%%%%%%%%

13. Multiply%and%simplify.%2! 3!!! ! 6!" − ! 3! %

%%%%%%%%%%14. Simplify%

2!!!!

!! !4!!

!%

%%%%%%%%%%%15. Simplify%

24!!!!3!!!

%

Exam%2% % % Name:%__________________________________________________% % % RHS%Alg$2$&$Trig$$Part$$I$–$Multiple$choices$(4$pts$each)$1. The$expression$ $is$equivalent$to$

$1)$ $2)$ $3)$ $4)$ $$$$

2. What$is$the$conjugate$of$− 12+ 32i ?$

$1)$ $

2)$ $

3)$ $

4)$ $

$$$$

3. Which$expression$is$equivalent$to$ ?$

$1)$ $

2)$ $3)$ $

4)$$

$$$$4. Which$expression$is$equivalent$to$ i75 ?$

$1)$ 1$2)$ $3)$ i$4)$ $

$$5. The$product$of$(3− 2!)$$and$(3+ 2!)$$is$

$1)$ 0$2)$ 9$3)$ 6− 4!$4)$ 13$$$$$Part$II$–$Free$response$(8$pts$each)$6. Factor$completely$$

x3 + 3x2 − 4x −12 $$$$$$$$$$$$

7. Simplify$the$following$using$positive$integer$exponents$and$radicals.$

(x2 −1)−23 $

$$$$$$$$$$

8. What$is$the$sum$of$ $and$ $expressed$in$ "form?$$$

$$$$$$$$$

9. Simplify$the$following$by$rationalizing$the$denominator.$23− i

$

$$$$$$$$$$

10. Evaluate$$3− 5i $$$$$$$$$$$$

11. Factor$completely$x4 −16 $$$$$$$$$$$$

12. Determine$the$value$of$n$in$simplest$form:$$ i13 + i18 + i27 + n = 0 .$$$$$$$$$$$

13. Factor$completely.$$9!! − !! − 8!!$$$$$$$$$$$

14. Simplify$$! − ! ! − ! + ! !!$$$$$$$$$$$$

15. Find$the$solution$for$the$given$equation.$2!! − 8! = 0$

Exam%3% % % Name:%___________________________________________________% % % RHS%Alg%2%&%Trig%%Part%I%–%Multiple%Choice%%1. When% %is%divided%by% ,%the%quotient%equals%

%1)% 1%2)% %

3)% %4)% %

%%%%2. When%2!! − 3! + 5%is%subtracted%from%3!! + 3! − 4,%the%difference%is%

%1)%% −!! − 6! + 9%2)% !! + 6! − 9%3)% 5!! + 1%4)% !! − 9%%%%

3. The%simplest%form%of% %is%

%1)% %

2)% %

3)% %

4)% %

%%%%4. What%is%the%solution%set%of% ! − 3 = 5?%

1) −2 %2) −2, 8 %3) 2 %4) 2,−3 %

%%%%

%

5. The%expression% %is%equivalent%to%

%1)% %

2)% %

3)% %

4)% %

%%%%%%%Part%II%–%Free%Response%%6. Simplify%

!! − 4!!! − 4!%%%%%%%%%%%

7. Express%in%the%simplest%form:%%2! − 69− !! ∙

!! + 6! + 94! + 12 %

%%%%%%%%%%%%%

8. Express%in%the%simplest%form:%%1! +

1!

1!! −

1!!%

%%%%%%%%%%%%9. Find%the%values%of%!%for%

3! − 9 = 5%%%%%%%%%%%%%%%

10. Find%the%values%of%!%for%6− ! − 5 = 10%%%%%%%%%%%%%%%%%

11. Add%and%express%in%the%simplest%form.%1

! − 3+! − 23− !%

%%%%%%%%%%%%

12. Express%in%the%simplest%form:%%1− 2! −

3!!

1! +

1!!

%

%%%%%%%%%%%%%%13. If%2%and%8%are%the%solutions%for%an%absolute%value%equation,%what%is%an%absolute%value%%equation%with%

those%solutions?%%%%%%%%%%%

%%%%%

14. What%is%the%expression% %is%equivalent%to?%

%%%%%%%%%%%%%%%15. Peter%solved%the%given%absolute%value%as%shown%below.%%State%the%mistake(s)%that%Peter%made%and%find%

the%correct%solution.%%%

%%%%%

2x − 7 = 5 %%

Case%1% Case%2%2x − 7 = 5+ 7 + 7

2x = 12

x = 6

%

2x + 7 = 5− 7 − 7

2x = −2

x = −1

%