Download Problem Solving 1-4

Name
LESSON
Date
Class
Problem Solving
1-4 Solving Equations by Multiplying or Dividing
Write the correct answer.
1. Brett is preparing to participate in a
250-kilometer bike race. He rides a
course near his house that is 1.25 km
long. Write an equation to determine
how many laps he must ride to equal
the distance of the race.
2. The average life span of a duck is
10 years, which is one year longer
than three times the average life
span of a guinea pig. Write and solve
an equation to determine the lifespan
of a guinea pig.
3. The speed of a garden snail is onefifth that of a three-toed sloth. If a
garden snail can travel at 0.03 mi/h,
what is the speed of a three-toed
sloth? Write an equation and solve.
4. In 2002, the movie with the highest
box office sales was Titanic, which
made about 2.74 times the box
office sales of the number 25 movie,
Mrs. Doubtfire. If Titanic made
$600.8 million, about how much did
Mrs. Doubtfire make? Write an
equation and solve.
Choose the letter for the best answer.
5. An inch is 2.54 times bigger than a
centimeter. If a pencil is 18 cm long,
how many inches long is it?
A 45.72 in.
C 15.45 in.
B 20.54 in.
D 7.1 in.
6. When Maria doubles a recipe, she
uses 8 cups of flour. How many cups
of flour are in the original recipe?
F 2 cups
H 8 cups
J 16 cups
G 4 cups
7. The depth of water is often measured
in fathoms. A fathom is six feet. If the
maximum depth of the Gulf of Mexico
is 2395 fathoms, what is the maximum
depth in feet?
C 29,250 ft
A 14,370 ft
B 98,867 ft
D 175,464 ft
8. Four times as many pet birds have
lived in the White House as pet
goats. Sixteen pet birds have lived in
the White House. How many pet
goats have there been?
H 12
F 4
G 20
J 64
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
41
Holt Pre-Algebra
Holt Middle
School Math
Puzzles, Twisters & Teasers
1-4 Bird-a-cology?
Problem Solving
1-4 Solving Equations by Multiplying or Dividing
LESSON
LESSON
What is the technical term for the study of birds?
Write the correct answer.
2. The average life span of a duck is
10 years, which is one year longer
than three times the average life
span of a guinea pig. Write and solve
an equation to determine the lifespan
of a guinea pig.
1. Brett is preparing to participate in a
250-kilometer bike race. He rides a
course near his house that is 1.25 km
long. Write an equation to determine
how many laps he must ride to equal
the distance of the race.
1.25l ⴝ 250
Solve the equations below. Match the letter above the equations with the
answers in the decoder to solve the mystery.
1. O
5x ⴝ 25
xⴝ5
3y ⴙ 1 ⴝ 10; y ⴝ 3
3. The speed of a garden snail is onefifth that of a three-toed sloth. If a
garden snail can travel at 0.03 mi/h,
what is the speed of a three-toed
sloth? Write an equation and solve.
4. In 2002, the movie with the highest
box office sales was Titanic, which
made about 2.74 times the box
office sales of the number 25 movie,
Mrs. Doubtfire. If Titanic made
$600.8 million, about how much did
Mrs. Doubtfire make? Write an
equation and solve.
共15兲s ⴝ 0.03; s ⴝ 0.15 mi/h
2.74m ⴝ 600.8;
4. R
6. When Maria doubles a recipe, she
uses 8 cups of flour. How many cups
of flour are in the original recipe?
F 2 cups
H 8 cups
J 16 cups
G 4 cups
嘷
7. The depth of water is often measured
in fathoms. A fathom is six feet. If the
maximum depth of the Gulf of Mexico
is 2395 fathoms, what is the maximum
depth in feet?
C 29,250 ft
A 14,370 ft
嘷
B 98,867 ft
D 175,464 ft
8. Four times as many pet birds have
lived in the White House as pet
goats. Sixteen pet birds have lived in
the White House. How many pet
goats have there been?
H 12
F 4
嘷
G 20
J 64
Holt Pre-Algebra
Holt Middle
School Math
41
Exploration Recording Sheet
1-5 Solving Simple Inequalities
xⴝ6
40 boxes
2.5(25) ⴝ 62.5 2.5(40) ⴝ 100
50 boxes
11. O
2.5(30) ⴝ 75
s
10. 3 2
2 3 4 5 6 7 8
s6
13. 8g 32
greater than
0 1 2 3 4 5 6
greater than or
g4
equal to
not equal
16. t ⴚ 4 7
8 9 10 11 12 13 14
2–5. Situations
will vary.
t 11
5. 25x 500
x 20
O
R
N
I
T
H
O
L
O
G
Y
5
6
10
2
13
7
4
8
11
9
3
Holt Pre-Algebra
Holt Middle
School Math
42
2. 5(3)
5. 9 ⴙ 9
3. 15 ⴚ 7
14
16
6. 10(6)
7
65
8. 4b 8
9. n ⴚ 1 2
0 1 2 3 4 5 6
b2
0 1 2 3 4 5 6
n3
11. z ⴚ 5 5
12. 9 ⴙ p 14
6 7 8 9 10 11 12
z 10
3 4 5 6 7 8 9
p5
w
14. 2 6
15. 5z 35
8 9 10 11 12 13 14
w 12
3 4 5 6 7 8 9
z7
17. 11r 55
18. y ⴙ 14 22
0 1 2 3 4 5 6
r5
4 5 6 7 8 9 10
y8
19. An elevator has a maximum weight of 3000 pounds. How many
150-pound people can safely ride the elevator? Write and solve
an inequality to answer the question.
Think and Discuss
150n 3000; n 20; no more than 20
6. Discuss the strategies you used for solving the inequalities
in Exercises 1–5.
20. The maximum speed of a cheetah is 70 miles per hour. A giraffe
is running at a speed that is less than half the maximum speed
of a cheetah. At what speed is the giraffe running? Write and
solve an inequality to answer the question.
Possible answer: Undo the operation being performed.
7. Explain what is meant by the phrase “solution of an inequality.”
2g 70; g 35; less than 35 mi/h.
Possible answer: The possible answers that satisfy an inequality.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
28
a4
equal to
x 14
12
0 1 2 3 4 5 6
less than or
x
4. 2 7
7. a ⴙ 3 7
less than
x 18
s ⴝ 11
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
30 boxes
2.5(50) ⴝ 125
x7
99
ⴝ 9
s
xⴝ8
4. 3(7)
You can use the inequality 2.5b 100, which means “2.5 times
a number b is greater than or equal to 100,” to model the problem.
3. x ⴚ 6 12
yⴝ4
Solve and graph.
50 boxes
2. x ⴙ 5 12
hⴝ7
56
ⴝ 7
x
1. 3 ⴙ 8
25 or 30 boxes
Give a real-world situation for each
inequality and solve each inequality.
9. O
15y ⴝ 60
Use or .
40 boxes
25 boxes
cⴝ9
8. H
6h ⴝ 42
10. L
1. Which of the numbers of boxes of cookies below gives Angela
b. exactly $100?
xⴝ3
LESSON
To raise money for a school trip, Angela sells cookies for $2.50
a box. She has to raise at least $100 from the cookie sales.
c. more than her goal of $100?
9c ⴝ 81
Practice A
1-5 Solving Simple Inequalities
LESSON
a. less than her goal of $100?
6. G
7x ⴝ 21
d ⴝ 10
5. An inch is 2.54 times bigger than a
centimeter. If a pencil is 18 cm long,
how many inches long is it?
A 45.72 in.
C 15.45 in.
B 20.54 in.
D 7.1 in.
嘷
y ⴝ 13
5. Y
72
ⴝ 12
x
Choose the letter for the best answer.
3. T
2y ⴝ 26
yⴝ2
7. N
7d ⴝ 70
m ⴝ $219.3 million
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
2. I
16y ⴝ 32
44
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Pre-Algebra
Holt Middle
School Math
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
114
45
Holt Pre-Algebra
Holt Middle
School Math
Holt Pre-Algebra
Holt Middle
School Math