Practice A 8-1 - Scarsdale Public Schools

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Practice A
8-1 Ratios and Rates
Use the table to write each ratio.
Caroline’s Pet Fish
1. angel fish to tiger barbs
2. red-tail sharks to clown loaches
3. catfish to angel fish
4. clown loaches to tiger barbs
Tiger Barbs
5
Catfish
1
Angel fish
4
Red-tail sharks
1
Clown loaches
3
5. catfish to red-tail sharks
6. Write three equivalent ratios to compare the
number of black triangles in the picture with
the total number of triangles.
Use the table to write each ratio.
7. gray male kittens to gray female kittens
Caroline’s Kittens
White
Gray
8. white female kittens to white male kittens
Male
3
2
Female
5
5
9. A candy store sells 2 ounces of chocolate for $0.80 and
3 ounces of chocolate for $0.90. How much does the store
charge per ounce for the 2 ounces of chocolate? How much
does the store charge per ounce for the 3 ounces of chocolate?
Which is the better deal?
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
8
Holt Middle School Math Course 1
CHAPTER
8
Exploration Recording Sheet
8-1 Ratios and Rates
Are You Ready? Recording Sheet
LESSON
Ratio, Proportion, and Percent
Choose the best term from the list to complete each sentence.
fraction
numerator
angle
triangle
denominator
quadrilateral
triangle
1. A(n)
is a four-sided polygon.
pentagon
quadrilateral
is a three-sided polygon, and a(n)
fraction
2. A(n)
A TV network offers the numbers of shows each week shown
in the table.
Type of TV Show
Number of Shows
You can compare the
numbers of TV shows by
Comedy
14
using ratios. A ratio is a
Drama
14
comparison of two quantities
Science fiction
3
that uses division. For
example, the ratio of science
Game show
7
fiction shows to drama shows
Talk show
15
3
!, which can also be
is !
News
14
14
written 3:14 or 3 to 14.
Morning show
10
equivalent
is used to name a part of a whole.
3. When two numbers have the same value, they are said
equivalent
to be
.
4. When writing 0.25 as a fraction, 25 is the
denominator
and 100 is the
Write each fraction in simplest form.
3
!!
5
6
5. !1!
0
numerator
.
3
!!
4
9
!
6. !
12
1
Write three equivalent fractions for each given fraction. Possible
1 2 3
!!, !!, !!
4 8 12
4
8. !1!
6
5
!
9. !
10
1 10 25
!!, !!, !!
2 20 50
10 15 20
!!, !!, !!
12 18 24
3
12. !4!
0.3
5
13. !8!
0.75
Write each decimal as a fraction in simplest form.
15. 0.5
1
!!
2
16. 0.35
7
!!
20
11
!
14. !
12
0.625
17. 0.08
2
!!
25
15:6 or 5:2
5. Discuss whether the ratios in Exercises 1!4 compare part
to part, part to whole, or whole to part.
Possible answer: The ratios compare part to part.
3
!!
25
6. Discuss whether order is important when calculating ratios.
19. 0.42 • 10
4.2
20. 0.3 • 52
21. 20.5 • 0.25
5.125
22. 6.75 • 0.40
25. 0.52 • 0.64
10:5 or 2:1
Think and Discuss
Multiply.
23. 9.8 • 0.2
2. game shows to news shows
4. talk shows to sports shows
0.916!
18. 0.12
14:7 or 2:1
7:14 or 1:2
3. morning shows to late-night shows
Write each fraction as a decimal.
3
!
11. !
10
6
1. comedy shows to game shows
answers given.
5
10. !6!
5
Sports
Find each ratio.
4
1!3! or !3!
8
7. !6!
Late-night show
1.96
0.3328
Possible answer: Order is important when calculating ratios.
2.7
24. 0.8 • 7.4
5.92
26. 0.75 • 8.9
6.675
3
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
news
sports
! equivalent to !!?)
(Hint: Is !
sports
news
15.6
7
3
Holt Middle School Math Course 1
Practice A
8-1 Ratios and Rates
Use the table to write each ratio.
4:5
2. red-tail sharks to clown loaches
5. catfish to red-tail sharks
1. lions to elephants
Caroline’s Pet Fish
1:3
1:4
3:5
4. clown loaches to tiger barbs
1:1
6. Write three equivalent ratios to compare the
number of black triangles in the picture with
the total number of triangles.
2. giraffes to otters
Tiger Barbs
5
Catfish
1
Angel fish
4
Red-tail sharks
1
4. seals to elephants
Clown loaches
3
5. elephants to lions
3. lions to seals
Possible answer: 2:6, 1:3, 4:12
9:12 or 3:4
Animals in the Zoo
8:16 or 1:2
9:10
Elephants
12
Giraffes
8
Lions
9
10:12 or 5:6
Seals
10
12:9 or 4:3
Otters
16
6. Write three equivalent ratios to compare
the number of diamonds with the number
of spades in the box.
Possible answer: 6:9, 2:3, 12:18
Use the table to write each ratio as a fraction.
Use the table to write each ratio.
7. gray male kittens to gray female kittens
Caroline’s Kittens
White
Gray
2:5
8. white female kittens to white male kittens
5:3
Male
3
2
Female
5
5
9. A candy store sells 2 ounces of chocolate for $0.80 and
3 ounces of chocolate for $0.90. How much does the store
charge per ounce for the 2 ounces of chocolate? How much
does the store charge per ounce for the 3 ounces of chocolate?
Which is the better deal?
8
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
12
6
!! or !!
7
15
5
!! or !!
3
8. Orioles losses to Orioles wins 9
14
!!
15
9. Titans losses to Orioles losses
9
3
!! or !!
4
10. Orioles wins to Titans wins 12
7. Titans wins to Titans losses 14
Baseball Team Stats
Titans
12. Barry earns $36.00 for 6 hours of yard work.
Henry earns $24.00 for 3 hours of yard work.
Who has the better hourly rate of pay?
Holt Middle School Math Course 1
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
110
9
Orioles
Wins
12
9
Losses
14
15
11. A 6-ounce bag of raisins costs $2.46. An 8-ounce bag
of raisins costs $3.20. Which is the better deal?
$0.40; $0.30; the 3 ounces of chocolate
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Middle School Math Course 1
LESSON
Use the table to write each ratio.
3. catfish to angel fish
7
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Practice B
8-1 Ratios and Rates
LESSON
1. angel fish to tiger barbs
3
7
The ratio !! is not equivalent to !!.
the 8-ounce bag
Henry
Holt Middle School Math Course 1
Holt Middle School Math Course 1