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
%