Differentiated Remediation continued
On-Level
Extension
• Practice (2 pages) Provides extra practice
for each lesson. For simpler practice
exercises, use the Form K Practice pages
found in the All-in-One Teaching Resources
and online.
Practice and Problem Solving Wkbk/
All-in-One Resources/Online
Practice page 1
Name
Class
Date
Practice
7-1
Form G
Zero and Negative Exponents
• Standardized Test Prep Focuses on all major exercises, all major question types,
and helps students prepare for the
high-stakes assessments.
Practice and Problem Solving Wkbk/
All-in-One Resources/Online
Practice page 2
Name
Class
7-1
Date
Practice (continued)
Form G
Zero and Negative Exponents
Evaluate each expression for a 5 24, b 5 3, and c 5 2 .
Simplify each expression.
1
2. 523 125
1. 130 1
3.
• Think About a Plan Helps students
develop specific problem-solving skills and
strategies by providing scaffolded guiding
questions.
3
243
324
4.
2
8
421
21. 3a21 2 34
1
22. b23 27
23. 4a2 b22 c3 512
9
24. 9a0 c4 144
1
25. 2a22 2 16
26. (2c)22 14
1
6. 4621 46
1
2 49
28.
1
1
80
2
9
12. a b
13. 3m28 p0 38
14.
m
23k23(mn)3
23p8m3n3
p28
1
1021
10
k3
17. 822 q3 r25
1
? (2y)0 x23 .
3
2m
b
3n
23
is acceptable if its diameter is within 3 ? 222 in. of the target diameter. Let
d represent the diameter of a pizza. Write an inequality for the range of
acceptable large pizza diameters in inches.
27n3
8m3
19.
v23
5m21
20.
9(ab)24 c7
5
xy4
3z3
52
incorrect; The student simplified (5a3)22
correct
as 522a29 instead of 522a26 . The
correct answer is 2 1 6
25a
2r23
5. Simplify 22 4
.
5
7q
9p
7q22
4
9p
2r23
5
5 22 ? 23
5
7q
2r
5
values of c21, c23, and c3 .
45p
14q22 r23
45pq22r23
5
14
8
, 3
Answers may vary. Sample: c 5 23 , c 21 5 32 , R c23 5 27
8 c 5 27
Prentice Hall Gold Algebra 1 • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
Practice and Problem3 Solving Wkbk/
All-in-One Resources/Online
Think About a Plan
Class
Date
Think About a Plan
Manufacturing A company is making metal rods with a target diameter of
1.5 mm. A rod is acceptable when its diameter is within 1023 mm of the target
diameter. Write an inequality for the acceptable range of diameters.
1.5 mm
1. What is the target diameter for the metal rods?
Class
Date
For Exercises 1–6, choose the correct letter.
81a4
B. 2 3
b c
3a4
C. 2 3
b c
if a 5 25 ? H
G. 25
H. 2
3a4c3
D.
b2
1
25
I.
1
25
3. Which of the following simplifies to a negative number? A
3. What is the problem asking you to determine?
an inequality for the acceptable
range of diameters
A. 2424
Class
14z
B. (24)24
Planning the Solution
G.
C. 424
D.
1
424
14z
y7
H.
z
y7
Zero and Negative Exponents
The diameter may not be greater than 1.50 1 0.001 mm or less than
1.5 2 0.001 mm.
5. What does this tell you about the type of inequality that you should use?
The inequality will use the symbols R and S.
A. 3
F.
27
125a3
G. 2
27
125a3
5a 23
b ? G
3
225 and 1 4 34
34 and 321
223 and 226
1
82 and 2
7
1 4 225 and 1 4 322
1 4 2 and 1 4 221
1 4 521 and 1 4 522
1
62 and 21
3
1
128
1
121
1
32
125a3
27
I. 2
1
16
3
2
4
49
1
36
1
2
32
1
3
125a3
27
Short Response
1
9
5
1
100
9
16
1
4
1
49
64
81
25
H.
1
72 and 2
6
2 and
z
D. 24
1
16
1022 and 1122
36
C. 4
B. 23
6. What is the simplified form of a2
4
222 and its reciprocal
I. 2 7
y
5. What is (2m) 23n if m 5 2 and n 5 224? A
4. What does the word “within” tell you about the acceptable range of
Date
Puzzle: Find the Power of 2
4. What is the simplified form of 2(14x)0 y 27 z ? I
F. 2 7
y
diameters?
Name
Answer each of the 12 clues below. Each time you find an answer, use an X to cross
out the numbers in the figure below.
within 1023 of 1.5 mm
2. How do you know if a rod is acceptable?
8
Online Teacher Resource Center
Activities, Games, and Puzzles
7-1
Zero and Negative Exponents
Multiple Choice
F. 225
as
Prentice Hall Algebra 1 • Teaching Resources
Standardized Test Prep
2. What is2a22
45p
14q 22r23
The correct answer
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
1. What is the simplified form of 3a4b22c3 ? D
Understanding the Problem
45pq2r3
14 .
Prentice Hall Gold Algebra 1 • Teaching Resources
Name
81a4c3
A.
b2
of
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
Practice and Problem4 Solving Wkbk/
All-in-One Resources/Online
Standardized Test Prep
7-1
Zero and Negative Exponents
1
25a9
9p
1514 R d R 1634
5a4b4
9mc7
b d
2(5a3)22 5 2522 a29
18z3
45pq22r23
instead
14
45pq2r3
is 14 .
7-1
d
6xy4
incorrect; The student simplified
Name
cd
instead of c4 . The correct answer is 240c
8 4.
4. Simplify 2(5a3)22.
32. A pizza shop makes large pizzas with a target diameter of 16 inches. A pizza
21
11xv3
y
240
5 8 4
b cd
incorrect; The student simplified cd24 as 1 4
1
.
3x3
2x(3z23)
2x 3z23
?
5 24
18
y24
y (18)
33. Open-Ended Choose a fraction to use as a value for the variable c. Find the
11xy21z0
2
3x3
3. Simplify 24 ?
18
y
150; The expression 1200 ? 2 represents the number of people who voted
early three weeks ago.
5
2a4c
25 ?
3z23
2x
8b28cd24
.
120
240b28cd24
8b28cd24
5
1
120
2. Simplify 25 ?
instead of 1. correct answer is
30. 8 ? 1024 0.0008
18. 2(10a)24 b0 10,000a4
64r 5
Zero and Negative Exponents
5
election. This week 1200 people voted early. The expression 1200 ? 2w models
the number of people who will vote early w weeks after this week. Evaluate the
expression for w 5 23. Describe what the value of the expression represents
in the situation.
20 14
Date
Enrichment
7-1
5
5a24
2c
16. a
q3
22
Class
incorrect; The student simplified (2y)0 as 2
29. 1023 0.001
10. 6bc0 6b
Name
(2)(1)x23
1
? (2y)0x 23 5
3
3
31. The number of people who vote early doubles every week leading up to an
11. 2(11x)0 21
15.
1
1023
1000
All-in-One Resources/Online
Enrichment
1. Simplify
Write each expression as a decimal.
1
8. 2(12x)22 2 144
x2
7. 260 1
9.
27.
• Activities, Games, and Puzzles
Worksheets that can be used for concepts
development, enrichment, and for fun!
For each exercise below, a student’s answer is below shown. Indicate below each
exercise whether each answer is correct or incorrect. For each incorrect answer,
indicate where the student made an error, and describe how to correct it. Then
write the correct answer.
Write each number as a power of 10 using negative exponents.
5. 2(7)22
• Enrichment Provides students with
interesting problems and activities that
extend the concepts of the lesson.
1
8
1
81
1
64
7. The number of bacteria in a culture quadruples every hour. There were
65,536 bacteria in the culture at 8:00 a.m. The expression 65,536 ? 4h models
the number of bacteria in the culture h hours after 8:00 a.m.
Getting an Answer
1
6. Write 1023 as a fraction and as a decimal. 10
, 0.1
a. What is the value of the expression for h 5 24?
b. What does the value of the expression in part a represent?
7. Find the acceptable range for the diameters of the rods. between 14.999 and 15.001 mm
256; the number of bacteria in the culture at 4:00 A.M.
After you follow all the clues, only two fractions should remain. Circle these fractions. When
you rearrange the digits of their denominators, you will find a positive power of 2. What is it?
(Hint: Every power of 2 has an even digit as its ones digit.)
13
8192 or 2
Puzzle answer: ___________________
14.99 R d R 15.001
8. Write your answer as a single inequality.
Prentice Hall Algebra 1 • Teaching Resources
Prentice Hall Algebra 1 • Teaching Resources
Prentice Hall Algebra 1 • Activities, Games, and Puzzles
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
2
7
61
Lesson Resources 419B
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