Transcript Word Problems Involving One

Word Problems Involving OneStep Equations and Inequalities
Observe,
Question,
Comment
10/31/11
10/31/11
Word Problems Reflection Word Problems Involving One-Step
Equations and Inequalities
Warm-Up:
25L
25R
Warm-Up: Write and solve inequalities
1) Thirteen plus a number n is greater than fifteen.
2) The sum of a number n and 3 is less than or equal to ten.
3) A number n multiplied by seven is less than or equal to 21.
4) A number n divided by 4 is greater than or equal to 3
5) The quotient of a number n divided by -5 is less than 9.
Observe,
Question,
Comment
10/31/11
10/31/11
Word Problems Reflection Word Problems Involving One-Step
Equations and Inequalities
Warm-Up:
25L
Standard:
25R

Algebra and Functions 4.0: Students solve

Algebra and Functions 1.1: Use variables

Algebra and Functions 1.4: Use algebraic
simple equation and inequalities over the
rational numbers
and appropriate operations to write an
equation that represents a verbal
description
terminology (e.g. equation, inequality)
correctly.
Observe,
Question,
Comment
10/31/11
10/31/11
Word Problems Reflection Word Problems Involving One-Step
Equations and Inequalities
Warm-Up:
Standard:
Objective:
25L
25R
 To
solve one-step equation
and inequalities.
Observe,
Question,
Comment
10/31/11
10/31/11
Word Problems Reflection Word Problems Involving One-Step
Equations and Inequalities
Warm-Up:
Standard:
Objective:
Vocabulary:
25L
25R

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
>  Is greater than
<  Is less than
≥  Is greater than or Equal to
≤  Is less than or Equal to
If < or >  Open Circle
If ≤ or ≥  Closed Circle
Inverse operation  opposite operation
Observe,
Question,
Comment
10/31/11
10/31/11
Word Problems Reflection Word Problems Involving One-Step
Equations and Inequalities
Warm-Up:
Standard:
Objective:
Vocabulary:
Notes/Examples:
25L
25R


Equation
[4:49]
Equation
• Jenny has 7 marbles and Kenny has 5. How
many do they have together?
Equation
• Jenny and Kenny together have 37 marbles,
and Kenny has 15. How many does Jenny
have?
Equation
• Jane is on page 79 of her book. The book has
254 pages. How many pages does she still
have to read?
Equations
• A used math book cost $17 less than the same
new math book. The used book cost $9.
About how much does the new book cost
Equation
• The United States population in 2005 was
twice the population in 1949. Find the 1949
population in millions, when in 2005 the
population was 5 million.
Observe,
Question,
Comment
10/31/11
10/31/11
Word Problems Reflection Word Problems Involving One-Step
Equations and Inequalities
Warm-Up:
Standard:
Classwork #1:
Objective:
Vocabulary:
Notes/Examples:
25L
25R
Write and Solve an Equation
1) Fred’s target heart rate is 130 beats per minute. This
is 58 beats per minute more than his resting heart rate
r. Find his resting heart rate.
2) Cora measures her heart rate at 123 beats per minute.
This is 55 beats per minute more than her resting
heart rate r. Find Cora’s resting heart rate.
3) Carol earns $8/h. How many hours must she work to
earn $288? [(rate)(time) = amount]
4) At a rate of $15 per month, how long does saving
$135 take? [(rate)(time) = amount]
Multiple Choice
• Mr. Menjivar’s DVR cost $328 less than his TV. His
DVR cost $179. About how much did his TV cost?
I.
About $175
II. About $300
III. About $325
IV. About $500
Write and solve an equation
1) The average distance from the sun to Jupiter is 778 million
km. This distance is 550 million km greater than the
average distance from the sun to mars. Find the average
distance d that Mars is from the sun.
2) The speed of sound through steel is 5,200 meters per
second (m/s). This is 2,520 m/s faster than the speed of
sound through silver. Find the speed of sound n through
silver.
3) Venus’s average distance from the sun is 108 million km.
This distance is 42 million km less than the average
distance from the sun to Earth. Find Earth’s average
distance d from the sun.
Observe,
Question,
Comment
10/31/11
10/31/11
Word Problems Reflection Word Problems Involving One-Step
Equations and Inequalities
Warm-Up:
Standard:
Classwork #1:
Objective:
Vocabulary:
Notes/Examples:
[Back to the Notes]
25L
25R


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
Inequality
[2:35]
Graphing Inequalities
[3:22]
Inequalities
• Nearly 512 megabytes (MB) of memory are
available in Mr. Menjivar’s digital camera. If
Mr. M used 128 MB, how much memory is
available for taking more pictures?
Inequalities
• An elevator can carry up to 2,500 lb. Suppose
the weight of an average adult is 150 lb. At
most how many average-sized adults can
safely ride the elevator at the same time?
Inequalities
• Mr. Menjivar has $50.00. He wants to buy
DVD’s and see a movie at Krikorian Theater.
Admission to the movie is $8.00. Each DVD
cost $12.00. Write and solve an inequality to
find how many DVD’s you can buy.
Inequalities
• Mary pay $0.06 per kilowatt-hour for
electricity. She has budgeted $72 for her
electricity. What is the greatest number of
kilowatt-hours Mary can use and stay within
her budget?
Observe,
Question,
Comment
10/31/11
10/31/11
Word Problems Reflection Word Problems Involving One-Step
Equations and Inequalities
Warm-Up:
Standard:
Classwork #1:
Objective:
Classwork #2:
Vocabulary:
Notes/Examples:
25L
25R
Write an inequality for each sentence.
Then solve the inequality
1) The total weight limit for a truck is 100,000 pounds.
The truck weighs 36,000 pound when the truck is
empty. What is the most that the truck’s load can
weigh?
2) Mr. Menjivar is saving to buy a bicycle that will cost at
least $120. Mr. Gonzalez gives him $45 toward the
bicycle. How much money will he have to save?
3) Jim has $87. He spends $6 for socks and at least $32
for shoes. How much does he have left to spend for
shirts?
Error Analysis
Multiple Choice
• Sue worked at least 13 hours last week. She
earns $5.75 per hour. What is the least
amount she earned?
I.
II.
III.
IV.
$75
$74.75
$65
$7.50