5-3 OG OA Problem Solving

MSM07G6_RESBK_Ch05_019-026.pe
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Name
Date
LESSON
Class
Problem Solving
5-3 Adding and Subtracting Mixed Numbers
Write the correct answer in simplest form.
1. Of the planets in our solar system,
Jupiter and Neptune have the
greatest surface gravity. Jupiter’s
16
stronger
gravitational pull is 2
25
than Earth’s, and Neptune’s is
1
15 stronger. What is the difference
between Jupiter’s and Neptune’s
surface gravity levels?
2. Escape velocity is the speed a rocket
must attain to overcome a planet’s
gravitational pull. Earth’s escape
9
miles per second! The
velocity is 6
10
2
Moon’s escape velocity is 55 miles
per second slower. How fast does a
rocket have to launch to escape the
moon’s gravity?
Jupiter’s is 111 higher.
11 miles per second
25
2
3. The two longest total solar eclipses
occurred in 1991 and 1992. The first
5
one lasted 66 minutes. The eclipse
1
of 1992 lasted 53 minutes. How
much longer was 1991’s eclipse?
4. The two largest meteorites found in
the U.S. landed in Canyon Diablo,
Arizona, and Willamette, Oregon.
1
The Arizona meteorite weighs 331
0
1
tons! Oregon’s weighs 162 tons.
How much do the two meteorites
weigh in all?
11 minutes
493 tons
2
5
Circle the letter of the correct answer.
1
6. It takes about 53 minutes for light
from the Sun to reach Earth. The
Moon is closer to Earth, so its light
19
reaches Earth faster—about 560
minutes faster than from the Sun.
How long does light from the Moon
take to reach Earth?
5. Not including the Sun, Proxima
Centauri is the closest star to Earth.
11
light years away! The next
It is 4
50
closest star is Alpha Centauri. It is
13
light years farther than Proxima.
100
How far is Alpha Centauri from Earth?
7
light years
A 42
嘷
0
3
of a minute
F 10
13
light years
B 4
100
1
of a minute
G
嘷
60
6
C 42
light years
5
1
D 45
light years
0
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
1
H 3 of a minute
4
of a minute
J 15
24
Holt Mathematics
Problem Solving
5-3 Adding and Subtracting Mixed Numbers
Challenge
5-3 Maximum Snakes
LESSON
LESSON
The bar graph below shows the maximum lengths for the
longest snakes in the world. Use the graph to find how much
each of the snakes in the City Zoo is below its maximum
length.
Write the correct answer in simplest form.
1. Of the planets in our solar system,
Jupiter and Neptune have the
greatest surface gravity. Jupiter’s
16
stronger
gravitational pull is 2
25
than Earth’s, and Neptune’s is
1
15 stronger. What is the difference
between Jupiter’s and Neptune’s
surface gravity levels?
World’s Longest Snakes
42
Boa constrictor
5
4
55
King cobra
6
Snake
Diamond python
Indian python
2
5
Jupiter’s is 111 higher.
8
10
4
6
8
7
10
10
2
3. The two longest total solar eclipses
occurred in 1991 and 1992. The first
5
one lasted 66 minutes. The eclipse
1
of 1992 lasted 53 minutes. How
much longer was 1991’s eclipse?
1
2
Reticulated python
2
11 miles per second
25
3
75
Anaconda
0
2. Escape velocity is the speed a rocket
must attain to overcome a planet’s
gravitational pull. Earth’s escape
9
velocity is 61
miles per second! The
0
2
Moon’s escape velocity is 55 miles
per second slower. How fast does a
rocket have to launch to escape the
moon’s gravity?
12
4. The two largest meteorites found in
the U.S. landed in Canyon Diablo,
Arizona, and Willamette, Oregon.
1
The Arizona meteorite weighs 33
10
1
tons! Oregon’s weighs 162 tons.
How much do the two meteorites
weigh in all?
Maximum Length (m)
11 minutes
Length
(in meters)
Difference from
Maximum Length
Kevin (king cobra)
1
32
Annie (anaconda)
53
Bob (boa constrictor)
34
Ivy (Indian python)
47
Reggie (reticulated python)
3
85
3
21
meters
0
1
36 meters
3
12
meters
0
11
33
meters
5
1
21
meters
0
1
24
meters
0
Snake
1
1
2
3
48
Diana (diamond python)
23
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
493 tons
2
Snakes in the City Zoo
5
Circle the letter of the correct answer.
1
6. It takes about 53 minutes for light
from the Sun to reach Earth. The
Moon is closer to Earth, so its light
19
reaches Earth faster—about 5
60
minutes faster than from the Sun.
How long does light from the Moon
take to reach Earth?
5. Not including the Sun, Proxima
Centauri is the closest star to Earth.
11
light years away! The next
It is 450
closest star is Alpha Centauri. It is
13
light years farther than Proxima.
100
How far is Alpha Centauri from Earth?
7
light years
A 42
0
13
3
F 1
of a minute
0
6
1
of a minute
G 6
0
1
1
H 3 of a minute
light years
B 4
100
C 42
light years
5
D 45
light years
0
Holt Mathematics
4
J 1
of a minute
5
24
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Puzzles, Twisters & Teasers
5-3 Work Before Play
Reading Strategies
5-3 Summarize
LESSON
LESSON
2
1
3
4
Down
5
1
2
1
To add 3 4, the denominators must be the same.
1. The whole number part of the answer: 76 22.
First, multiply the denominators to get a common denominator.
2. When you have ____ denominators,
3 4 12
4. you must find the ____.
4
Across
Multiply the denominators of the fractions.
2
1
2. What is the common denominator of 3 and 4?
4
7
3
3. 3 is the ____ of 7.
5
1
4
4
1
5. The fractional part of the answer: 76 22
7
7. The numerator of 8.
3
8
12
n
1
2
2 3
3
3
3
1. Solve for n.
12
Next, change both fractions into equivalent fractions with 12 as the
denominator.
2
3
1
6. The common denominator of 25 32.
1. How do you get a common denominator for two fractions?
3
12
1
3
2
F
O U R
I
N
L
V
Finally, add the fractions together.
3
Look at the drawing above to answer each question.
2
3. What equivalent fraction is formed when 3 is changed into twelfths?
R E
5
8
12
C
O N
I
K
P R
E
–
O C
A
4
L
C
6
T
H
I
R D
E
1
4. What equivalent fraction is formed when 4 is changed into twelfths?
7
3
12
8
3
?
5. What is 12
12
11
12
S
E
V
E
N
The circled letters in the crossword will give you the answer.
What two letters can keep you from doing your homework?
T
V
6. Write how you would add two fractions that have different denominators.
Possible answer: Find a common denominator, find equivalent fractions
for each, and add.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
25
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
88
26
Holt Mathematics
Holt Mathematics