Exam 3 Review Math PDF

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This is the review of Exam 3...

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Unit%3%Review! % 1. Find%the%domain%for%the%following.%Write%in%both%set% and%interval%notation.% a)

x 2 - 64 %%%%% 5 x - 40

b)

-15 6 5 % = x - 4 x +3 x -3 4 x -4

2 x -8 x % 3 x - 15 x 2 + 12 x

2

3

c)

!"#$ "%&

=(

&) " * %&

"%$

+ ( "#&%

d)

7 5 % = 5 x -2 4x

3x - 12 x 2 - 16 % ÷ 2 2 x -10x + 25 x - 3x - 10

e)

5 3 = % m +4 m -2

8t t−2 2t 2 − 2t ÷ 2 i 2 % 2 t − 6t + 8 t + 5t t − 9t + 20

%

a)

w 2 +10w + 25 w 2 − 3w %%%%% i w+5 w2 − 9

b)

c)

% 3. Perform%the%indicated%operations%and%simplify.%

x -3 x +7 + % 3 x +15 5 x + 25

b)

x- 3 x+ 4 % - 2 x -6x +8 x -x -12

c)

x -6 x +2 x +1 + % 2 x -4 x +2 3x - 6

2

% 4. Perform%the%indicated%operations%and%simplify.%

a)

4 3 10 % = 3y y 3

x + 5x % x -12x + 35

% 2. Perform%the%indicated%operations%and%simplify.%

a)

a)

2

2

c)

x -3 x +4 ÷ 2 % x -6x +8 x -x -12 2

6. Solve%for%the%variable.%

2

b)

b)

( 7x y 3

4

- 21x 2y 3 + 28xy 2 )÷ (7xy ) %

7. Marta%can%assemble%a%crate%of%toys%in%4%fewer%hours% than%Caleb.%%Together,%they%can%assemble%a%crate%of% toys%in%1.5%hours.%%How%long%would%it%take%each%of% them%to%assemble%a%crate%of%toys%alone?% 8. The%height%of%a%pole%in%a%photo%is%2%cm%and%the%tree% beside%it%is%5%cm.%%If%the%pole%is%actually%8%feet%tall,% how%tall%is%the%tree?% 9. The%Lemon%River%flows%at%a%rate%of%5.2%mph.%%If%a% boat%can%travel%24%miles%downstream%in%the%same% time%it%takes%to%travel%18%miles%upstream,%how%fast% would%the%boat%be%traveling%in%still%water?% % 10. Solve%for%the%indicated%variable.%

60 x7 + 44 x5 - 28 x3 % b) 4x 3

a) D =

nW solve for n. % W + nr

5. Simplify.%%%%%%%

9x2 - y2 xy % a) x 3 -y 2y

b) %

2 3 1 + = solve for x. % x y w

c) t =

(n+ 4 ) x 5

solve for n. %

Unit%3%Review! % 11. Simplify.%%%%

3

−256x 8 yz 3 %

%

14. %Simplify%and%rationalize%the%denominators.%

% %

a)

7a % 32

b)

12m5 % 125n 7

12. Simplify.%%Write%answers%in%radical%forms.%

a)

0

𝑤𝑥 . 𝑦 ( ∙ ( 𝑤 $ 𝑥𝑦%%%

%

2xy 2 z 5 i

b)

8x 4 yz 2 %

6 3

c)

%

3− 5

c)

3

144w14 x 9 y 2 % 15. Solve.%

d)

e)

45 i

a)

2w + 9 = 5 %

b)

3x + 15 + 23 = 8 %

c)

27 - 3x = x - 3%

d)

x - 5 + 4 = x - 3%

250 %

24x 4 y 5 8x 7

%

% 16. The%function% D = 1.2 h can%be%used%to% approximate%the%distance%D,%in%miles,%that%a%person%

%

can%see%to%the%horizon%from%a%height% ,%in%feet.%%% 13. %Perform%the%indicated%operations%and%simplify.%%

a) %From%on%top%of%a%tower,%you%can%see%30.4%miles%

a) 3 150 − 2 54 + 7 96 %

b) 5 32 − 108 + 2 256 %

c)

(

to%the%horizon.%%How%tall%is%the%tower?%(round% your%answer%to%tenths%of%a%foot)%

b) Looking%out%the%airplane%window,%the%pilot%can% see%230%miles%to%the%horizon.%%What%is%the% altitude%(in%feet)%of%the%airplane?%(round%your% answer%to%tenths%of%a%foot)%

)

6 3 15 − 4 40 %

%

d)

e)

2x

(

)

3x 3 − 4 6x %

( 3+ 2 5)( 3− 2 5) %

%...