word problems involving one- step equations and inequalities
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Word Problems Involving One-Step Equations and Inequalities
Word Problems Involving One-StepEquations and Inequalities
25R25L
Word Problems Reflection
Observe,Question,Comment
10/31/1110/31/11
Warm-Up:
Warm-Up: Write and solve inequalities1) 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.
Word Problems Involving One-StepEquations and Inequalities
25R25L
Word Problems Reflection
Observe,Question,Comment
10/31/1110/31/11
Warm-Up: Standard:
Algebra and Functions 4.0: Students solve simple equation and inequalities over the rational numbers
Algebra and Functions 1.1: Use variables and appropriate operations to write an equation that represents a verbal description
Algebra and Functions 1.4: Use algebraic terminology (e.g. equation, inequality) correctly.
Content Standards
Word Problems Involving One-StepEquations and Inequalities
25R25L
Word Problems Reflection
Observe,Question,Comment
10/31/1110/31/11
Warm-Up: Standard:
Objective:
Objectives
To solve one-step equation and inequalities.
Word Problems Involving One-StepEquations and Inequalities
25R25L
Word Problems Reflection
Observe,Question,Comment
10/31/1110/31/11
Warm-Up: Standard:
Objective:
Vocabulary:
> 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
Vocabulary (Shout Outs)
Word Problems Involving One-StepEquations and Inequalities
25R25L
Word Problems Reflection
Observe,Question,Comment
10/31/1110/31/11
Warm-Up: Standard:
Objective:
Vocabulary:
Notes/Examples:
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.
Word Problems Involving One-StepEquations and Inequalities
25R25L
Word Problems Reflection
Observe,Question,Comment
10/31/1110/31/11
Warm-Up: Standard:
Objective:
Vocabulary:
Classwork #1:
Notes/Examples:
Write and Solve an Equation1) 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 equation1) 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.
Word Problems Involving One-StepEquations and Inequalities
25R25L
Word Problems Reflection
Observe,Question,Comment
10/31/1110/31/11
Warm-Up: Standard:
Objective:
Vocabulary:
Classwork #1:
Notes/Examples:[Back to the Notes]
Inequality [2:35] Graphing Inequalities [3:22]
Brainpop
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?
Word Problems Involving One-StepEquations and Inequalities
25R25L
Word Problems Reflection
Observe,Question,Comment
10/31/1110/31/11
Warm-Up: Standard:
Objective:
Vocabulary:
Classwork #1:
Notes/Examples:
Classwork #2:
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. $75II. $74.75III. $65IV. $7.50