Name ________________________________________ Date __________________ Class__________________
Practice B
LESSON
2-2
Proportional Reasoning
Solve each proportion.
1.
28
36
=
g
81
2.
________________________
4.
5
8
=
f −1
56
________________________
z
1.75
=
64
21
3.
_________________________
5.
2.4
1.8
=
0.004
y
_________________________
3
0.6
=
1.05
n
________________________
6.
5
v +6
=
4
12
________________________
Solve.
7. UXYZ has vertices X (0, 0), Y (0, 10), and
Z (−10, 10). UXWT is similar to UXYZ
and has a vertex at W (0, 4). Graph UXYZ
and UXWT on the same grid.
8. Dan works as a house painter. He knows that it
is safe to place the base of his 10-foot ladder
3 feet from the base of a house. Today he has
to use a 25-foot ladder. Dan wants to keep the
same ratios in order to be safe. How far should
Dan place the base of his 25-foot ladder from
the base of the house?
_________________________________________________________________________________________
9. The school newspaper took a survey. Of the students
polled, 15% said they did not have too much homework.
Sixty students were polled for the survey. How many
students said they did not have too much homework?
_________________________________________________________________________________________
10. Cheryl wants to measure the distance across a
stream. She took some measurements and drew a
diagram. How wide is the stream?
__________________________________________
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2-12
Holt Algebra 2
3. 3.5 × 44 = 154
2. 9 ⋅ 9;
8 × 19 = 152; not a proportion
4. c = 15
5. a = 3.5
1
6. x = 2
3
7. f = −48
2
8. k =
7
9. w = −27
10.
15
a
=
; a = 204
100 1360
11.
1
10
= ; m = 6.2
1.62 m
40.5 x
40.5
81
=
3. 4t = 17 ⋅ 32;
40.5
4t
4
=
;2
544
4
; 136
4. x = 126
12.
20 b
= ; b = 78
8 31
5.
15
x
=
; 15 ⋅ 680; x = 102
100 680
6.
72
x
=
; 100x = 72 ⋅ 5000; x = 3600
100 5000
7.
40
h
=
; 40 ⋅ 169; 6760;
104 169
Practice B
1. g = 63
1
2. z = 5
3
3. h = 0.21
4. f = 36
5. y = 0.003
6. v = 9
104h 6760
=
; 65; 65
104
104
Challenge
1. a. 17 to 16
7.
b. 629
c. 391
2.
5
3
3. 729
4. 1095 born, 657 died 5. 1
2
3
Problem Solving
1. 0.125 inch or
8. 7.5 ft
10. 22
9. 9 students
1
inch
8
2. 0.17 feet or about 2 inches
2
yd
3
3. 8
1
inches
3
1. n = 7.5
2. w = 6.5
4. No; possible answer: the caterpillar would
have a radius of about 7.5 ft so it wouldn’t
fit in a shoe box.
3. a = 7
4. d = −8
5. A
6. B
5. m = 4
6. c = 2
7. B
8. D
7. $1,485,200
8. $714,548
Practice C
9. $1,234,567
11. 6 ft 9 in.
Reading Stategies
10. 750 students
12. 42 rupees
1.
Reteach
1. 78;
3.
26n 234
=
;9
26
26
50
75
30
y
2.
4.
75
50
15 y
=
10 30
5. Multiply 15 times 30 and multiply y times
10.
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A15
Holt Algebra 2