Math Problem Statement
NATIONAL MATHEMATICS PROGRAM Modelling Real-Life Situations Using Algebraic Expressions Quarter 1- Week 3: Day 4
Translate the following statements to algebraic expressions or equations.
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Half the speed that the car was travelling
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Ana (A) is three years younger than her sister (s).
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The area of a rectangle with length (1) and width five feet less than the length.
Read the situation then answer the questions.
Situation 1: Tom, Jerry and their friends are planning on a road trip. The car that they will be using has a fuel consumption rate of 15 miles per gallon and the price of fuel is 180.00 pesos per gallon.
Questions:
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If they want to travel d miles, write an algebraic expression that represents the cost of fuel.
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If they want to travel as far as 100 miles (back and forth), how much money will they prepare for the cost of fuel? How much will each share be if there are five of them?
Situation 2: You are planning a family reunion. The venue you want to book charges 10,000 pesos for the space. Catering costs is 250 pesos per person, and there is an additional miscellaneous fee of 1,000 pesos.
Questions:
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Let p be the number of attendees in the family reunion, write an algebraic expression to represent the total cost of the payment needed.
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If there is a total of 120 attendees, how much will be the total cost?
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If each person will contribute an equal amount, how much will be the share of each person?
Situation: Cathy turns her hobby of hand crafting beaded bracelets into a small business. She sells each bracelet for twenty-five pesos. Additionally, she ran a promotion where customers who bought more than 5 bracelets received a 10% discount on their total purchase.
Questions:
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Write an algebraic expression to determine the total regular sales (not discounted items) of x pieces of bracelets sold.
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Write an algebraic expression to determine the discounted sales of x pieces of bracelets sold?
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What is the total sales if there are 35 pieces of bracelets with no discounts and 10 pieces of discounted bracelets sold.
What skills and knowledge do you need to master in order to model real-life situations using algebraic expressions accurately?
How does modeling real-life situations using algebraic expression help in solving problems?
Solution
Translating Statements to Algebraic Expressions
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Half the speed that the car was travelling: where is the speed of the car.
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Ana (A) is three years younger than her sister (s):
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The area of a rectangle with length and width five feet less than the length:
Situation 1: Road Trip Fuel Cost
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Algebraic expression for the cost of fuel to travel miles: Simplifying this:
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Cost to travel 100 miles (round trip): [ \text{Total distance} = 2 \times 100 = 200 \
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Math Problem Analysis
Mathematical Concepts
Algebraic Expressions
Equations
Rates and Ratios
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9
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