Carlos buys twenty-five pounds of starter feed to feed his flock of new baby chickens. Each week the chicks eat two pounds of food.
Define units for the time since Carlos bought starter feed and the amount of starter feed left.
After one week, how many pounds of starter feed does Carlos have left?
The baby chicks eat starter feed only for the first six weeks of their lives. How many pounds of starter feed will Carlos have left when the chicks are ready to move on to other food?
Enter a variable for the time since Carlos bought starter feed and use this variable to write an expression for the amount of starter feed left.
Use the Worksheet to complete the problem. The column labels describe the quantity from the problem scenario that the column is about. The row labels describe the type of value that goes in the row: quantity descriptions, units of measure, algebraic expressions, or numeric values to answer a question.
Quantity Name
Time
Starter Feed Left
Unit
After one week, how many pounds of starter feed does Carlos have left?
Question 1
The baby chicks eat starter feed only for the first six weeks of their lives. How many pounds of starter feed will Carlos have left when the chicks are ready to move on to other food?
Question 2
Expression
Units:
- Time: weeks
- Starter Feed Left: pounds
After one week, Carlos has 23 pounds of starter feed left (25 pounds - 1 week x 2 pounds/week = 23 pounds).
When the chicks are ready to move on to other food after six weeks, Carlos will have 13 pounds of starter feed left (25 pounds - 6 weeks x 2 pounds/week = 13 pounds).
Let t be the time in weeks since Carlos bought starter feed, then the expression for the amount of starter feed left is:
25 - 2t (in pounds)
The Fullerton Fire Company sells pins as a fundraiser. They spent $thirteen to make the pins and they are sold for five dollars each. The net revenue made from the fundraiser is the profit from the pins sold minus the cost of making the pins.
Define a unit for the net revenue.
Jared, a fire fighter, sold the first two pins yesterday. What is the fire company's total revenue so far?
After 2 days, the fire company has sold three pins. How much total revenue has the fire company made?
Enter a variable for the number of pins sold and use this variable to write an expression for the net revenue.
Use the Worksheet to complete the problem. The column labels describe the quantity from the problem scenario that the column is about. The row labels describe the type of value that goes in the row: quantity descriptions, units of measure, algebraic expressions, or numeric values to answer a question.
Quantity Name
Pins Sold
Net Revenue
Unit
pins
Jared, a fire fighter, sold the first two pins yesterday. What is the fire company's total revenue so far?
Question 1
After 2 days, the fire company has sold three pins. How much total revenue has the fire company made?
Question 2
Expression
Units:
- Pins Sold: pins
- Net Revenue: dollars
The unit for net revenue is dollars.
Jared sold 2 pins, so the fire company's total revenue so far is $10 (2 pins x $5/pin = $10).
After 2 days, the fire company has sold 3 pins, so their total revenue is $15 (3 pins x $5/pin = $15).
Let n be the number of pins sold, then the expression for the net revenue is:
5n - 13 (in dollars)
You and your friends record your favorite Shakespearean sonnets. You take seventeen seconds to introduce yourselves on the recording. Then you take four seconds to read each line of the sonnet.
Define a unit for the length of the recording.
What is the length of the recording in seconds after reading six lines of the sonnet?
How many seconds does it take you and your friends to read nine lines?
Enter a variable for the number of lines read and use this variable to write an expression for the length of the recording.
Use the Worksheet to complete the problem. The column labels describe the quantity from the problem scenario that the column is about. The row labels describe the type of value that goes in the row: quantity descriptions, units of measure, algebraic expressions, or numeric values to answer a question.
Quantity Name
Lines Read
Length of Recording
Unit
lines
What is the length of the recording in seconds after reading six lines of the sonnet?
Question 1
How many seconds does it take you and your friends to read nine lines?
Question 2
Expression
Units:
- Length of Recording: seconds
- Lines Read: lines
The unit for the length of the recording is seconds.
After reading six lines of the sonnet, the length of the recording is 41 seconds (17 seconds introduction + 4 seconds/line x 6 lines = 41 seconds).
To read nine lines, it takes you and your friends 53 seconds (17 seconds introduction + 4 seconds/line x 9 lines = 53 seconds).
Let n be the number of lines read, then the expression for the length of the recording is:
4n + 17 (in seconds)
Carrie rents a table at the local coffee shop for twenty-five dollars per week to use for tutoring. She charges students eight dollars per hour for her tutoring services.
Define units for the time that Carrie tutors and the amount Carrie earns.
If Carrie tutors a total of seven hours one week, how much money will she earn?
Next week is a busy week for Carrie. She is scheduled to tutor for eighteen hours. How much money will she earn?
Enter a variable for the time that Carrie tutors and use this variable to write an expression for the amount Carrie earns.
Use the Worksheet to complete the problem. The column labels describe the quantity from the problem scenario that the column is about. The row labels describe the type of value that goes in the row: quantity descriptions, units of measure, algebraic expressions, or numeric values to answer a question.
Quantity Name
Time Tutoring
Money Earned
Unit
If Carrie tutors a total of seven hours one week, how much money will she earn?
Question 1
Next week is a busy week for Carrie. She is scheduled to tutor for eighteen hours. How much money will she earn?
Question 2
Expression
Units:
- Time Tutoring: hours
- Money Earned: dollars
If Carrie tutors for a total of seven hours one week, she will earn $56 (7 hours x $8/hour = $56).
If she tutors for eighteen hours the next week, she will earn $169 (18 hours x $8/hour + $25/week = $169).
Let t be the time Carrie spends tutoring, then the expression for the amount Carrie earns is:
8t + 25 (in dollars)
While on the ocean, you see a dolphin that is twenty five meters behind you. It swims towards you at three meters per second. Represent distances behind your position as negative numbers. Represent distance in front of you as positive numbers.
Define units for the time that you see the dolphin swimming and the position of the dolphin compared to you.
After eight seconds, what is the dolphin's position relative to you?
After thirteen seconds, what is the dolphin's position relative to you?
Enter a variable for the time that you see the dolphin swimming and use this variable to write an expression for the position of the dolphin compared to you.
Use the Worksheet to complete the problem. The column labels describe the quantity from the problem scenario that the column is about. The row labels describe the type of value that goes in the row: quantity descriptions, units of measure, algebraic expressions, or numeric values to answer a question.
Quantity Name
Time
Position of Dolphin Compared to You
Unit
After eight seconds, what is the dolphin's position relative to you?
Question 1
After thirteen seconds, what is the dolphin's position relative to you?
Question 2
Expression
Units:
- Time: seconds
- Position of Dolphin Compared to You: meters
After eight seconds, the dolphin is two meters in front of you (25 meters - 8 seconds x 3 meters/second = 2 meters).
After thirteen seconds, the dolphin is 14 meters in front of you (25 meters - 13 seconds x 3 meters/second = 14 meters).
Let t be the time that you see the dolphin swimming, then the expression for the position of the dolphin compared to you is:
25 - 3t (in meters)
At the school carnival, the student council sold temporary tattoos of the school mascot. They purchased a batch of the tattoos for $ten, and sold each one for $four.
Define a unit for the amount of money made.
How much money did the student council make by selling five tattoos?
How much money did the student council make by selling nine tattoos?
Enter a variable for the number of tattoos sold and use this variable to write an expression for the amount of money made.
Use the Worksheet to complete the problem. The column labels describe the quantity from the problem scenario that the column is about. The row labels describe the type of value that goes in the row: quantity descriptions, units of measure, algebraic expressions, or numeric values to answer a question.
Quantity Name
Tattoos Sold
Money Made
Unit
tattoos
How much money did the student council make by selling five tattoos?
Question 1
How much money did the student council make by selling nine tattoos?
Question 2
Expression