Math 2412 Extra Credit(Due with Final Exam)

What kind of tree did the algebra teacher try to grow?

Solve each equation; match your answer with the lettered answers below, and place the letter in

the corresponding box at the bottom to get the answer to the riddle.

1) 2 2 7x − = 2)

2 1 26x + = 3) 2 4 4x + = 4)

2 27x− = −

5) 2 18 17x − = − 6)

2 1 7x + = 7) 22 4 22x + = 8)

21 3x− = −

9) 23 1 11x− + = − 10)

210 2 2x= − 11) 21

22 7x − = 12)

213

1 2x − =

13) 2 1 24

9 9x − = 14)

24 5 4x − = 15) 281 16x= 16)

29 5x− = −

A. 0 C. 4 E. 2 G. 6 H. 1

I. 3 3 N. 3 2 O. 3 Q. 5 R. 6

S. 3

2 T.

5

3 U.

5

3 W.

9

4

7 11 8 15 4 13 5 14 2 16 3 6 9

10 12 1 13 14

What is the name and nationality of the mathematician associated with

a theorem about right triangles?

Solve for x; match your answer with the lettered answers below, and place the letter in the

corresponding box at the bottom to get the answer to the question.

1) 2 25 0x − = 2)

2 12 52x − = 3) 2 8 3x − = 4)

23 27x =

5) 22 14 18x − = 6)

25 100x = 7) 24 136 264x − = 8)

212

2x =

9)

10) 11) 12)

A. 8 E. 4 G. 3 H. 5 K. 2 5

O. 10 P. 13 R. 6 3 S. 11 T. 2

Y. 20 A. 6

10 12 8 1 2 4 7 11 9 3

4 11 5 5 6

;

After math professor Francis Oliver Fex passed away, what was the

headline of his obituary? Find a correct formula for the following 12 function tables in the list below. Write the letter

which corresponds to that formula in the box above the function number at the bottom of the

page.

1 2 3 4 5 6

x ( )f x x ( )f x x ( )f x x ( )f x x ( )f x x ( )f x

1 5 1 1 1 3 1 2 1 1 1 12

2 9 2 8 2 6 2 4 2 12 2 2

3

3 13 3 27 3 11 3 8 3 13 3 O

4 F 4 S 4 18 4 16 4 E 4 45

5 21 5 125 5 A 5 C 5 15 5 5

6

7 8 9 10 11 12

x ( )f x x ( )f x x ( )f x x ( )f x x ( )f x x ( )f x

2− 2 3− 1− 1 2 1 2 4− T 1 32

1− 1 1− 0 2 6 2 5 2− 0 2 34

0 I 0 E 3 12 3 8 0 1 3 12

1 1 1 1 4 20 4 11 2 2 4 38

2 2 3 2 5 N 5 F 4 3 5 O

A. 2 2x + C.

3x D. 1

x E. 4 1x + F. x H.

1

x

x +

N. 1

2

x + O. 2x S. ( )1x x + T. 3 1x − U. 1

2

x+ X.

3

2x

To complete the answer to the riddle, compute the missing value in each function table using the

appropriate formula, and write the corresponding letter in the box above the function value at

the bottom of the page.

14 4 7 14 12 6 3 64 32 1 27 9 1

2 5

10 34 17 11 8 2 −1 0 3

10 30

What did the female function, ( )f x x= 2, say when she gave birth to

the baby function ( )b x x= 3?

Determine whether the following functions are odd, even, or neither, and then follow the

instructions at the bottom to find the answer to the riddle.

1) ( ) 2f x x= 2) ( ) 5f x x= 3) ( )f x x= − 4) ( ) 2 1f x x= +

5) ( ) 3 1f x x= − 6) ( )f x x= 7) ( ) 3 5f x x x= − 8) ( ) 2 1f x x= +

9) ( ) 4 2f x x x= + 10) ( ) 5 3f x x x= + 11) ( ) 2 3f x x x= + 12) ( ) ( )1f x x x= − −

13) ( ) 2 2f x x x= + − 14) ( ) 35f x x= 15) ( ) 2f x = 16) ( ) 29f x x= −

17) ( )f x x= 18) ( ) 33 7f x x= − 19) ( ) 225f x x= + 20) ( ) 6f x x= −

21) ( ) 2 1

xf x

x=

+ 22) ( ) 3

1f x

x= 23) ( )

2xf x

x= 24) ( )

2

1

xf x

x=

+

1ST row – Cross out letters corresponding to even functions.

A A B E D V E K N L I I D D 23 16 1 8 20 2 5 4 10 6 13 19 15 9

2nd row – Cross out letters corresponding to odd functions.

T H T S I G N K I R T S M O D E D T 18 1 7 3 4 21 20 5 11 14 17 12 10 19 24 22 8 2

Use the remaining letters to spell out the answer to the riddle.

‘

What happens to a function when given a contaminated input value? Match each function with its lettered domain below, and write the letter in the corresponding box at the bottom

to get the answer to the riddle.

1) ( ) 2 2f x x= − 2) ( )f x x= 3) ( )f x x= 4) ( ) 4f x x=

5) ( ) 2f x x= − 6) ( )1

f xx

= 7) ( )1

2f x

x=

− 8) ( ) 2

1

4f x

x=

−

9) ( ) 3 2f x x= − 10) ( )1

f xx

= 11) ( ) 3 6f x x= + 12) ( ) 6 3f x x= −

13) ( ) 3 2 7f x x x= − + 14) ( )1

2f x

x=

+ 15) ( ) 2 4f x x= − 16) ( ) 24f x x= −

A. ( ,2− B. ( ) ( ), 2 , 2,− − − D. ( ) ( ),2 , 2,− E. ( ) ( ) ( ), 2 , 2,2 , 2,− − −

G. ( ) ( ),0 , 0,− H. ( , 2− − I. ( ),− M. )2,

N. )0, O. ( )0, P. )2,− O. ( )1,

S. 2,2− T. ( ), 2 , 2,− − W. no real numbers

3 15 6 8 20 16

7 18 5 12 9 14 11 18 13 17 10 2 1 4 19

17) 18)

19)

20)

What did the student cheer after solving the cubic equation ( )x + =3

1 0?

Match the following polynomial functions with the lettered graphs below, and write the letter in

the corresponding numbered box below to get the answer to the riddle.

1) ( ) 2 5f x x x= + 2) ( ) 2 4 4f x x x= − + 3) ( ) 2 2f x x x= − +

4) ( ) 2 2 8f x x x= − − + 5) ( ) 4 33f x x x= − − 6) ( ) 3 4f x x x= −

7) ( ) 3 22 4 8f x x x x= − − + 8) ( ) 4 25 4f x x x= − + 9) ( ) 5 4 36 9f x x x x= − + −

!

!

!

9 6 8 9 6 8 9 6 8

(

)

6 4 9 5 7 1 2 9 3 3 4

A. H. T.

P. L. I.

O. R. E.

Where did the group of female algebra teachers stay when they

attended a conference on women’s rights?

Solve the following inequalities; match your answer with the lettered answers below, and write

the letter in the corresponding box at the bottom to get the answer to the riddle.

1) 2 2 0x x− 2)

24 0x− 3) 2 4 4 0x x+ +

4) 2 4 4 0x x+ + 5)

23 5 2 0x x− − 6) 2 4 3 0x x− − −

7) 3 4 0x x− 8)

2 32 0x x− 9) 32 4 0x x+

10) 4 16 0x − 11)

4 210 9 0x x− + 12) 5 4 32 3 0x x x− −

T. 0,2 Q. ( ,0− S. )1,0 , 3,−

A. 1

,23

−

O. )1

, , 2,3

− −

E. ( , 1 , 0,3− −

I. 2− H. ( ,2− Y. )2,0 , 2,−

N. ( ), 2 , 2,− − W. no solution I. ( ), 3 , 1,1 , 3,− − −

L. ( ), 3 , 1,− − − U. ( ),−

1 8 12 11 2 10 12 9 4 5 6 3 1 7

What mathematical topic is discussed by the musicians in a German

beer house?

Match each exponential equation with its equivalent lettered logarithmic equation below, and

write the letter in the corresponding box at the bottom to get the answer to the riddle.

1) 32 8= 2)

23 9= 3) 129 3= 4) 1 1

55

− =

5) 02 1= 6) 34 64= 7)

138 2= 8)

238 4=

9) ba x= 10)

xb a= 11) ax b= 12)

xa b=

A.8

2log 4

3= B. logb x a= C. 8

1log 2

3

=

E.

8

1log 2

3=

G. 9

1log 3

2= H. 4log 64 3= H. 2log 1 0= K. 64log 4 3=

L. 2log 8 3= M. log x b a= R. loga b x= R. 5

1log 1

5

= −

S. loga x b= T. 3log 9 2= X. 3log 2 9= Y. logb a x=

1 8 3 7 12 4 6 10 2 5 11 9

When lumberjacks play music, why do they use a large soup can

instead of a bass drum? Match the value of x which solves the given equation with the lettered answer below, and write

the letter in the corresponding box a the bottom to get the answer to the riddle.

1) 2log 4 x= 2) 2log 3x = 3) 4log 64 x= 4) 2log 64 x=

5) log 81 2x = 6) 5log 2x = 7) log 7 1x = 8) 4

1log

2x = −

9) 8

1log

3x = 10) 7log 1x = − 11)

64

1log

2x = 12) 5log 4x =

13) 3

1log

3x

=

14) log 1000 3x = 15) 5

2

2log

5x

=

16) 5log 1 x=

17) 2

log 43

x = 18) 2

1log

4x

=

19) 2log 0x = 20)

8

2log

3x = −

21) 12

log 1x = − 22) 8

10log 10 x= 23) 4log 1x = 24) 16

1log

2x =

25) 13log 169 x= 26) 3

log 1254

x = 27) 3

log 2x = 28) 13

log 2x = −

29) 23

9log

4x

=

30) ( )log .1 1x = − 31)

81

1log

4x = 32)

1log 5

2x =

33) 1

log 14

x

= −

34) log 1a x= 35) loga a x= 36) ( )log .001 3x = −

A. 2 B. 6 C. 1

7 D. 11 E. 4 F. 4− G. 625 H. 0 I.

1

2 J. 5

L. 1 M. 3 N. 25 O. 10 R. 1− S. 8 T. 2− U. 7 W. 1

4 Y. 9

10 36 3 27 14 6 19 30 12 26 33 13

15 16 5 18 34 31 2 9 35 20 21 28 17

7 11 23 1 4 25 22 24 29 8 32

Who is the female mathematician who was killed in 415 A. D. partly

because of her knowledge and ideas?

Perform the indicated multiplication; match your answer with the lettered answers below, and

place the letter in the corresponding box at the bottom to get the answer to the question.

1) ( )( )3 2x x+ + 2) ( )( )4 5x x− + 3) ( )( )5 2x x− −

4) ( )2

6x + 5) ( )( )6 6x x+ − 6) ( )( )3 7x x+ −

7) ( )( )2 1 3x x+ − 8) ( )( )3 4 3 4x x− + 9) ( )( )9 1x x− +

10) ( )( )4 2 2 3x x− + 11) ( )( )2 2x x− + 12) ( )2

7x −

13) ( )( )1 1x x− + 14) ( )( )6 3 2x x− +

A. 2 7 10x x− + D.

2 36x − E. 2 5 6x x+ + F.

2 20x x+ − H. 2 4 21x x− −

I. 2 8 9x x− − L.

2 12 36x x+ + N. 29 16x − O.

22 5 3x x− − P. 2 4x −

R. 2 14 49x x− + T.

26 9 6x x+ − X. 28 8 6x x+ − Y.

2 1x −

6 13 11 3 14 9 3 7 2

3 4 1 10 3 8 5 12 9 3

What did the two binomials say when they were caught in the act of

multiplying?

Multiply the following binomials; match your answers with the lettered choices below, and place

the letter of the matching answer in the labeled blanks at the bottom to get the answer to the

riddle.

1) ( )( )3 6x x− − 2) ( )( )6 6x x+ − 3) ( )( )3 3x x− − 4) ( )( )9 9x x+ −

5) ( )( )9 3x x+ − 6) ( )2

6x + 7) ( )( )3 3x x− + 8) ( )2

9x −

9) ( )( )3 1 3 1x x+ − 10) ( )( )3 1 1x x+ − 11) ( )( )2 3 2 3x x− + 12) ( )2

3 1x −

13) ( )( )9 4 1x x+ − 14) ( )( )3 2 2x x+ − 15) ( )( )9 2 1x x− + 16) ( )2

3 2x +

A. 2 18 81x x− + D.

2 6 9x x− + O. 2 9 18x x− + E.

2 6 27x x+ −

E. 2 9x − K.

2 36x + A. 2 36x − U.

2 81x −

S. 2 12 36x x+ + T.

2 27x − F. 29 1x − S.

29 6 1x x− +

P. 23 1x − R.

23 2 1x x− − L. 24 9x − B.

29 4x +

G. 23 4 4x x− − N.

29 5 4x x− − C. 29 7 2x x+ − I.

29 12 4x x+ +

15 4 10 12 5 6 9 1 16 11 7 3 2 14 8 16 13

Factor each expression. Use the code to learn who was the first woman

in space.

1. 2 4x − E. ( )( )9 9x x− +

2. 2 49x − E. ( )( )3 2 3 2x x− +

3. 2 100x − T. ( )( )10 10x x− +

4. 2 25x − V. ( )( )6 6x x− +

5. 2 1x − R. ( )( )4 4x x− +

6. 2 9x − N. ( )( )2 2x x− +

7. 2 16x − V. ( )( )7 7x x− +

8. 2 36x − S. ( )( )10 9 10 9x x− +

9. 2 64x − A. ( )( )5 5x x− +

10. 2 81x − A. ( )( )1 1x x− +

11. 24 9x − T. ( )( )3 3x x+ −

12. 29 4x − L. ( )( )8 8x x− +

13. 225 1x − N. ( )( )9 2 2x y x y− +

14. 281 4x − H. ( )( )2 3 2 3x x− +

15. 249 16x − I. ( )( )9 2 9 2x x− +

16. 264 49x − E. ( )( )5 1 5 1x x− +

17. 2100 81x − O. ( )( )7 4 7 4x x− +

18. 2 236 9x y− K. ( )( )8 7 8 7x x− +

8 4 9 13 1 3 14 18 5

6 10 7 12 17 11 16 15 2 4

What does a sorceress cheering for her favorite team have in common

with rational exponents?

Evaluate the following expressions; match your answer to one of the lettered answers below, and

place the letter in the corresponding box at the bottom to get the answer to the riddle?

1) 1249 2)

16− 3)

1225

36

4) 32− 5) 2327

6) 1225

− 7)

3481 8)

324 9)

5416 10)

438

11) 1 13 33 9 12)

1532 13)

131

8

14) 123 15)

1327

64

−

16) ( )17

7

5 17) ( )14

2

36 18) 0

1

5

4− 19)

168 20)

18625

P. 16 S. 7 O. 1

5 S.

1

6 A. 5

N. 6 H. 27 O. 2 D. 4

3 E. 3

O. 5

6 H. 4 E. 32 R. 9 W.

1

2

A. 1

8 S. 3 T. 5 S. 2 R. 8

1 7 9 18 4 19 10 12 13 11 5 14

16 17 15 8 3 6 20 2

Why did 9 refuse to discuss anything with his brothers 3 9 , 1

9, and −9 ?

Simplify the following radical expressions; match your answer with one of the lettered answers

below, and place the letter above the corresponding number at the bottom to get an answer to the

riddle. Assume that all variables represent positive numbers.

1) 36 2) 16− 3) 8 4) 12 5) 6

6) 1− 7) 3 9 8) 48 9) 2 8 10) 12

20

11) 3 27− 12) 3 8− 13) 3 216 14) 3 1− 15) 3 16

16) 3 64 17) 314

128 18) 3 24− 19) 3 33 9 20) 3 36 9

21) 24x 22) 12x 23)

650x 24) 816x 25)

3 28x y

26) 82 25x y 27)

63 8x 28) 63 27xy 29)

123 64x 30) 3 43 x y−

31) 93 125x 32)

332 16xy−

A. 1− B. 1 D. 4− E. 4 E. 6 F. 9

G. 3− H. 3 I. 3 2 J. 2 2− K. 2 2 L. 32 2

M. 2 3 N. 5 O. 2− P. 4 3 R. 33 2 S. 32 3

T. 32 3− U. Can’t

simplify

W. Not a real

number A.

35x B. 25x E.

35 2x

I. 2x L. 22x N.

44x O. 2 3x P. 2 2xy x R. 410x y

S. 34 2y x− T. 3xy y− W. 2 33y x

22 29 9 28 31 32 17 20 20 14 18 21 12 29 6 15

22 29 13 3 1 25 30 12 10

26 13 8 16 6 18 17 24 11 19 21 4 32 9 15 7

22 29 9 2 31 32 5 10 26 23 6 27

WHAT DO YOU HAVE TO GET OFF OF

IN ORDER TO BE AT THE TOP IN A

MATH CLASS? Find the first five terms of the following series. Place the corresponding letter of each correct

answer into the numbered box below to get the answer to the question.

1) ( )2

1

2

n

n

=

− 2) ( )1

1n

n

=

−

3) ( )1

3 1

n

n

=

+ 4) ( )3

1

2 3n

n

−

=

−

5) ( )

1

1

1n

nn

+

=

− 6) ( )

1

3 2

n

n

=

+

7) ( )2

2n

n n

=

− 8) 2

1

2

nn n

=+

9) ( )( )

1

2

2 1 2 1n

n n

=− + 10) ( )

1

0

2 1n

n

−

=

+ −

T. 4 7 10 13 16+ + + + B. 8 162 43 9 27 81

1+ + + + M. 1 1 1 12 3 4 5

1− + − +

O. 1 3 1 3 1+ + + + F. 1 1 13 3 3

3 3+ + + + B. 2 6 12 20 30+ + + +

H. 1 1 1 1 1− + − + O. 1 1 1 1 1− + − + − J. 1 1 1 12 4 8 16

1+ + + +

T. 1 1 1 1 12 4 8 16 32+ + + + T. 2 2 2 2 2

3 15 35 63 99+ + + + N. 1 1 1 1

2 3 4 51+ + + +

R. 1 2 7 14 23− + + + + O. 1 1 1 13 6 10 15

1+ + + + U. 5 8 11 14 17+ + + +

Y. 2 29 3

2 6 18− + − +

4 2 6 1 7 8 3 9 10 5

WHAT’S THE BEST ADVICE FOR BEING

SUCCESSFUL IN A MATH CLASS? Find the sum (if it exists) of each of the following geometric series. Place the corresponding

letter of the correct answer in the numbered box below to get the answer to the question.

1) 1 1 1 12 4 8 16+ + + + 2) 1 1

3 99 3 1+ + + + +

3) 1 19 3

1 3+ + + + 4) 1 1 1 110 100 1000 10000− + − +

5) 16 3 949 3 4 16

1− + − + + 6) 1 1 12 4 8

1− + − +

7) 1 133

3 1+ + + + 8) .5 .05 .005 .0005+ + + +

9) .123 .000123 .000000123+ + + 10) 1 1 1 118 36 72 144+ + + +

11) 2 31 x x x+ + + +

where 1 1x−

12) 2 3 4

1 1 1 11x x x x

− + − + − +

where 1x or 1x −

13) 2 3 41 1 1 11x x x x

+ + + + +

where 1x or 1x −

14) ( ) ( ) ( )2 3

1 2 2 2x x x+ − + − + − +

where 1 3x

A. 1 M. 1

x

x − K.

1

11 D. 1 E. diverges F.

1

1 x−

G. 3 3 3

2

+ H.

41

333 I.

5

9 L.

1

x

x− O.

64

63 R.

1

9

S. 0 or 1 T. 3 3+ U. 27

2 N.

2

3 W.

1

1x − Y.

1

x

x

−

+

1 5 12 5 2 10 11 10 8 7 7 8 6

!!! 9 5 13 3 14 5 10 4