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Name_________________________________________________________
Date __________
6.1 Puzzle Time
Why Do Bees Have Sticky Hair?
Write the letter of each answer in the box containing the exercise number.
Simplify the expression. Write your answer using only
positive exponents, when necessary.
1.
 90
2. 42
3.
 63
4.
5.
122
6.
130
7. 15x0 y 2
E.
A.
8 3
40
1
3
1
512
H.
N.
92 
33 
1
98
125x5
y10
Y. 27 y 9
O.
21
x5
S.
y8
81
Y.
1
144
M.
121
x2
C.
y3
8. 21x 5 y 0
B. 
102 x  4
y0
10.
14 x 0 y 2
21 z 3
12.
13.
 x7 
14. 912  94
15.
y2  y4
y3
9.
11.
5
x

 11 
3 4 x 0
y 8
E.
 1 
3
 3y 
2
5
Copyright © Big Ideas Learning, LLC
All rights reserved.
11
4
13
V.
1
x 35
E.
1
16
T.
15
y2
H.
28z 3
y2
3
18. 
14
9
1
100x 4
O. 1
 2x4
2
1
216
H. 16x 4
52 y 10
51 z 0 x 5
16.
17. 
7
Answers
16
1
12
6
18
15
8
17
3
10
Algebra 1
Resources by Chapter
203
Name _________________________________________________________ Date _________
6.2 Puzzle Time
Why Did The Mother Skunk Take Her Baby To See
The Doctor?
Write the letter of each answer in the box containing the exercise number.
Rewrite the expression in rational exponent form.
1.
8
3.
 9
3
2.
5
4.
6

Answers
43
7

 51
O. 64
11
E.
Rewrite the expression in radical form.
12
6. 802
9.
25
125
8. 163 2
5121 3
15.
128
57
 16 

 625 
5
10.
12.
18. 
C.
1
32
16

3
 32
I.
11. 243
14.
125
16.
34
343
19.
U.
15
13. 645 6
256
1
17.  
 64 
43
U. 95 3
W. 8
Evaluate the expression.
3

17
5. 191 4
7.
 5111 7
S.
2 3
20.
34

O. 625
12
5

2
B.  2
A. 81 2
F. 32
8
125
T. 43
O.
56
1
49
16
S.  32
E. 5
1
14
R.
81
21. The volume of a number cube is 36 cubic millimeters.
T.
Find the length of one side of the number cube.
1
3
4
D. 9
19
A.
7
802
O. 3
10
4
17
16
7
2
204 Big Ideas Math Green
Resources by Chapter
6
3
15
18
13
9
14
19
5
21
11
12
1
8
20
Copyright © Big Ideas Learning, LLC
All rights reserved.
Name_________________________________________________________
Date __________
6.3 Puzzle Time
How Do You Find A Train?
Write the letter of each answer in the box containing the exercise number.
Determine whether the equation or table represents an
exponential function.
1.
3.
4.
y  215
x
2.
y  611
−2
−1
0
1
2
y
1
5
25
125
625
7
8
9
10
11
y
2
6
10
14
18
x
S. no
L. yes
x
x
Answers
W.  36
T. 
I. 48
Evaluate the function for the given value of x.
5.
y  4x ; x   2
7.
y   72 ; x   5
9.
f  x  
7
32
F.
6.
y  35 ; x  2
8.
f  x  0.25 ; x   4
x
1
16
A. 256
x
1 x
6 ; x  3
6
10.
x
y 
T. 1
1
2
27 x ; x 
9
3
C. 75
O. all real numbers; y  1
Describe the domain and range of the function.
11.
f  x  2 x  3
12.
R. all real numbers; y  8
f  x  5 x  4
K. all real numbers; y  0
x
1
13. y      8
6
14.
y  9x 1  1
O. all real numbers; y  3
15. The function y  32 represents the population of
x
bees in a beehive, where x represents the number of
days. How many bees are in the beehive after 4 days?
5
11
3
1
14
Copyright © Big Ideas Learning, LLC
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9
15
7
4
10
13
8
6
12
2
Algebra 1
Resources by Chapter
205
Name _________________________________________________________ Date _________
6.4 Puzzle Time
What Looks Like Half A Lemon?
Write the letter of each answer in the box containing the exercise number.
Evaluate the function when t  4. Round your answer to
the nearest hundredth.
1.
y  2751  0.85
2.
y  91  0.03
3.
f t   161.7
4.
pt   8.211.09
t
t
Answers
t
L. 11.59
T. 0.02
t
E. 10.13
Evaluate the function when t  7. Round your answer to
the nearest hundredth.
5.
y  7251  0.1
 11 

 12 
7. r t   
R. 0.54
6. g t   3600.45
t
t
t
 3
5
8. ht   0.8 
H. 346.77
t
E. 1.35
A. 3221.21
Write a function that represents the situation.
H. 133.63
9. A $33,000 vehicle decreases in value by 27% each year.
F.
f t   51  0.125
H.
f t   9.561.03
T.
f t   40001.01
O.
f t   33,0001  0.27
t
10. Your hourly wage of $9.56 increases by 3% each year.
11. The amount of five fruit flies increases by 12.5% each day.
12. A $4000 deposit that earns 2% annual interest compounded
t
semiannually after t years.
8
5
2
9
12
3
6
7
10
2t
t
1
4
11
Name _________________________________________________________ Date _________
Copyright © Big Ideas Learning, LLC
206 Big Ideas Math Green
Resources by Chapter
6.5
All rights reserved.
Puzzle Time
How
Did The
Beetle Uncover The Ant's Secret Plan?
Circle the letter of each correct answer in the boxes below. The circled letters will
spell out the answer to the riddle.
Solve the equation. Check your solution.
1. 78 x  716
2. 9 x  5  911
3. 410 x  46 x12
4. 85 x  8x 8
5. 3x  81
6. 6 x  3  36 x
7. 343x  7 x8
8. 125x  5x12
x
1
9.    128
 2
11. 100
x 7
10.
 1 
 

 1000 
x 7
1
 45 x 1
256
 1 
12. 

 243 
x 3
 272 x  3
Use a graphing calculator to solve the equation. Round your answer to the
nearest hundredth.
1
 4
6x2
13. 6 x  5  9
14.  
15. 4 x  3  8x  2
16. 2 x  4  3 x
 7x
D
I
F
T
G
K
B
V
U
G
H
G
L
B
E
C
15
4
 28
16
 24
8
 3.77
24
2
7
15
4
19
0.48
7
 0.01
D
K
I
N
T
O
S
P
P
Q
H
B
O
W
N
E
3
28
6
 0.55
6
19
3
8
0.77
24
1
 0.48
0.27
0.01
2
1.55
Copyright © Big Ideas Learning, LLC
All rights reserved.
Algebra 1
Resources by Chapter
207
Name _________________________________________________________ Date _________
6.6 Puzzle Time
How Does A Penguin Make Pancakes?
Write the letter of each answer in the box containing the exercise number.
Find the common ratio of the geometric sequence.
Answers
2. 49, 7, 1, 1 ,
7
1. 5, 20, 80, 320,
S. 3
3. 2 ,  2, 18, 162,
9
4. 0.023, 0.23, 2.3, 23,
5. 1 ,  1 , 1 ,  1 ,
2
4 8 16
6. 6, 18, 54, 162,
I. 1
7
H. 2
L. 10
Write the next three terms of the geometric sequence.
7. 192, 48, 12, 3,
8. 6, 12, 24, 48,
R. 3072
10. 500, 100,  20,  4,
9. 100, 10, 1, 0.1,
E. 4
I.  3
Write an equation for the nth term of the geometric sequence.
Then find a6 .
11. 3, 12, 48, 192,
12. 2.88, 1.44, 0.72, 0.36,
13.  1 ,  1 ,  1 ,  1 ,
81 27
9 3
14.  256, 64, 16, 4,
F. 0.09
T.  1
2
P. 1
4
15. There were 32 chess players in the competition. After the first
round, 16 players remained. After the second round, 8 players
remained. Write an equation for the nth term of the geometric
sequence. How many players remained after the fifth round?
T.  9
P.  0.01, 0.001,  0.0001
S. 3 , 3 , 3
4 16 64
W.  4 ,  4 ,  4
5
25 125
I. 96,192,384
10
8
3
15
208 Big Ideas Math Green
Resources by Chapter
2
5
7
12
4
13
9
14
1
11
6
Copyright © Big Ideas Learning, LLC
All rights reserved.
Name_________________________________________________________
Date __________
6.7 Puzzle Time
What Do Cats Read For Current Events?
Write the letter of each answer in the box containing the exercise number.
Write the first six terms of the sequence.
1. a1  1, an  an 1  3
2. a1  9, an  an 1  6
3. a1  4, an  2an 1
4. a1   6, an   1 an 1
2
Answers
H. 4, 8, 16, 32, 64, 128
E. 1, 4, 7, 10, 13, 16
A. 9, 3, 3, 9, 15,  21
Write a recursive rule for the sequence.
5. 7, 15, 23, 31, 39,
6. 625, 125, 25, 5, 1,
7. 0, 8, 16,  24, 32,
8. 9, 18, 36,  72, 144,
3 3 3 3
, ,
2 4 8 16
I.  6, 3,  ,
E. a1  0, an  an 1  8
Write an explicit rule for the recursive rule.
M. a1  2, an  an 1  5
9. a1   2, an  an 1  2 10. a1  14, an  0.5an 1
11. a1   3, an  6an 1
12. a1  5, an  an 1  16
E. a1  625, an 
D. a1  6, an  an 1  12
Write a recursive rule for the explicit rule.
13. an  84
n 1
15. an  10
14. an   5n  7
n 1
1
an 1
5
S. a1  9, an  2an 1
L. a1   6, an  an 1  12
16. an  12n  18
P. a1  8, an  4an 1
17. The first term of a sequence is 6. Each term of the sequence
is 12 less than the preceding term. Write a recursive rule
for the sequence.
R. a1  1, an  10an 1
T. a1  7, an  an 1  8
Y. an  2n  4
A. an   36
n 1
W. an  16n  11
P. an  140.5
5
3
7
17
11
Copyright © Big Ideas Learning, LLC
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4
16
9
14
1
12
8
10
2
13
6
n 1
15
Algebra 1
Resources by Chapter
209
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