Name ———————————————————————
LESSON
1.2
Date ————————————
Challenge Practice
For use with pages 8–12
In Exercises 1 and 2, insert grouping symbols in the expression
4 1 7 3 32 2 2 1 5 3 6 so that the value of the expression is a.
1. a 5 25
2. a 5 83
3. Insert grouping symbols in the expression 24 4 3 1 9 2 4 3 6 1 10 so that the
value of the expression is (a) the minimum value and (b) the maximum value.
4. A type of tree doubles its diameter every 10 years. If the tree is currently 1 inch in
diameter, in how many years will the tree be 16 inches in diameter?
5. Due to improvements in design and manufacturing, the speed of a new computer
1
doubles every 1}2 years. In how many years from now will computers be
approximately 1000 times faster than they are now?
6. Due to improvements in manufacturing, the cost of a model of computer decreases
1
1
by }2 every 1}2 years. How many years will it take before a $2000 computer decreases
16
Copyright © Holt McDougal. All rights reserved.
LESSON 1.2
in price to $250?
Algebra 1
Chapter 1 Resource Book
Lesson 1.2, continued
1. 4 1 (7 3 3
) 2 (2 1 5) 3 6
2. 4 1 7 3 (3 2 2) 1 5 3 6
2
ANSWERS
2
3. (a) 262 (b) 208 4. 40 years 5. 15 years
1
6. 4} years
2
Focus On 1.2
Practice
1. never 2. always 3. always 4. sometimes
5. sometimes 6. sometimes 7. sometimes
8. always 9. never 10. sometimes 11. never
12. sometimes 13. 24 2 a; sometimes; The
number of students in Ms. Baker’s class is an
even whole number. If an odd number of students
are absent, then the expression represents an odd
whole number.
Review for Mastery
1. always 2. always 3. never 4. never
5. sometimes 6. sometimes
Lesson 1.3
Practice Level A
70
1
1. b 1 7 2. 11x 3. } 4. } y 5. 18 2 c
m
3
n
6. t 1 20 7. } 8. 25p 9. 3b 10. 4 2 m
15
3
11. w 1 4 12. }
p 13. 2 ft/sec 14. 3 ft/sec
15. 88 ft/sec 16. 0.25p; $3 17. a. 10 1 p b. 17
18. a. 10 1 3c b. $28
Practice Level B
y
2
1. 9 2 n 2. } 3. 57 1 b 4. } x 5. c 2 18
22
3
8
6. 25 1 2m 7. } 8. 2 1 r 2 9. 40 2 d
2z
c
10. b 1 1 11. } 12. 60h 13. 120.27 ft/sec
4
14. 3 ft/sec 15. 0.43 ft/sec 16. 22.5 1 5x;
$62.50 17. Last season: 0.78 runs/game; This
season: 0.80 runs/game; This season 18. 28 mi
19. 6x 1 3y; 36 ft
Practice Level C
y28
1
1. c 4 } 2. 24 2 3b 3. 5 1 6x 4. }
2
3
3
5. 8m3 6. x2 1 4 7. 10(b 1 9) 8. 18 1 } t
4
1 2
d
9. } 10. 4(d 1 0.75) 11. 12 1 2x
15
12. 88 ft/sec 13. 11.75 ft/sec 14. 141.53 ft/sec
15. 66.5 1 3.8p; $134.90 16. 2.75 mi 17. $450
18. 4x 1 6y; 52 ft; 11 pieces
Review for Mastery
26
1
1. 3m 2 5 2. }
p 4. 9 1 k 2 5. 1.25n
n 3. }
3
6. 2(5 1 m) 7. 5 ft/sec 8. 1 ft/sec 9. 4 ft/sec
10. 9 ft/sec
Challenge Practice
1. 375 jars
n(n 1 1)(2n 1 1)
2. 12 1 22 1 . . . 1 n2 5 }}
6
3. 2870
n(n 1 1) 2
4. 13 1 23 1 . . . 1 n3 5 }
5. 44,100
2
F
Lesson 1.4
Practice Level A
1. C 2. A 3. D 4. B 5. 8 1 n 5 15
b
6. 5y ≥ 22 7. x 2 6 5 19 8. } > 25 9. yes
7
10. no 11. yes 12. no 13. yes 14. no
15. 5 16. 12 17. 20 18. 5 19. 12 20. 18
21. Eleven is the width of each locker, x is the
number of lockers, and 165 is the total length of
the available space; 15 lockers
22. $72 23. 132 1 x ≤ 150; no
Practice Level B
1. c 2 17 > 33 2. 3x ≤ 21 3. 14 1 2y 5 78
m
4. 22 2 } 5 54 5. 7 1 3b ≥ 12 6. yes
4
7. no 8. no 9. yes 10. yes 11. yes
12. 8 13. 17 14. 6 15. 64 16. 8 17. 6
18. 80 1 x ≤ 150; no 19. $60; $15
20. 30x ≤ 145; yes 21. t 1 2r 5 26; 16 in.
Practice Level C
1. 2c 2 10 ≤ 42 2. 24 1 3y 5 56
m
3. 32 2 } 5 80 4. 3b 1 33 ≥ 35
7
A2
Algebra 1
Chapter 1 Resource Book
G
Copyright © Holt McDougal. All rights reserved.
Challenge Practice