t
15 - 3t
Numeric Value (next year)
12
Numeric Value (in three years)
6
Expression (for remaining nesting sites)
15 - 3t
An ecologist presents her findings at a town hall meeting. She estimates that there are fifteen hawk nesting sites on the town's nature preserve. She estimates the number of nesting sites will decrease by three nesting sites each year.
Define a unit for the amount of time.
Based upon her prediction, how many nesting sites will be on the preserve next year?
How many nesting sites will be on the preserve in three years based upon her prediction?
Enter a variable for the amount of time and use this variable to write an expression for the number of nesting sites remaining.
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
Remaining Nesting Sites
Unit
nesting sites
Based upon her prediction, how many nesting sites will be on the preserve next year?
Question 1
How many nesting sites will be on the preserve in three years based upon her prediction?
Question 2
Expression
17 answers
town hall meeting. She estimates that there are fifteen hawk nesting sites on the town's nature preserve. She estimates the number of nesting sites will decrease by three nesting sites each year.
Define a unit for the amount of time.
Based upon her prediction, how many nesting sites will be on the preserve next year?
How many nesting sites will be on the preserve in three years based upon her prediction?
Enter a variable for the amount of time and use this variable to write an expression for the number of nesting sites remaining.
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
Remaining Nesting Sites
Unit
nesting sites
Based upon her prediction, how many nesting sites will be on the preserve next year?
Question 1
How many nesting sites will be on the preserve in three years based upon her prediction?
Question 2
Expression
Define a unit for the amount of time.
Based upon her prediction, how many nesting sites will be on the preserve next year?
How many nesting sites will be on the preserve in three years based upon her prediction?
Enter a variable for the amount of time and use this variable to write an expression for the number of nesting sites remaining.
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
Remaining Nesting Sites
Unit
nesting sites
Based upon her prediction, how many nesting sites will be on the preserve next year?
Question 1
How many nesting sites will be on the preserve in three years based upon her prediction?
Question 2
Expression
t
15 - 3t
Numeric Value (next year)
12
Numeric Value (in three years)
6
Expression (for remaining nesting sites)
15 - 3t
15 - 3t
Numeric Value (next year)
12
Numeric Value (in three years)
6
Expression (for remaining nesting sites)
15 - 3t
The Fullerton Fire Company sells pins as a fundraiser. They spent $twenty three to make the pins and they are sold for four 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.
Diego, 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 seven 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
Diego, 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 seven pins. How much total revenue has the fire company made?
Question 2
Expression
Define a unit for the net revenue.
Diego, 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 seven 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
Diego, 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 seven pins. How much total revenue has the fire company made?
Question 2
Expression
dollars
$8
$27
p (number of pins sold)
4p - 23
$8
$27
p (number of pins sold)
4p - 23
Flavio invested some money in the stock market and is keeping track of his earnings. Unfortunately, it is a bad month for the stock market. On the first day of the month, Flavio checks the account and sees that he has lost money! He now has negative one hundred thirty-seven dollars in earnings. It keeps getting worse; his earnings change by negative sixteen dollars per day.
Define units for the number of days after the first day of the month and Flavio's earnings.
After six days, what are Flavio's earnings?
What are Flavio's earnings after twenty days?
Enter a variable for the number of days after the first day of the month and use this variable to write an expression for Flavio's earnings.
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
Earnings
Unit
After six days, what are Flavio's earnings?
Question 1
What are Flavio's earnings after twenty days?
Define units for the number of days after the first day of the month and Flavio's earnings.
After six days, what are Flavio's earnings?
What are Flavio's earnings after twenty days?
Enter a variable for the number of days after the first day of the month and use this variable to write an expression for Flavio's earnings.
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
Earnings
Unit
After six days, what are Flavio's earnings?
Question 1
What are Flavio's earnings after twenty days?
Question 2
Variable Name
d (number of days after the first day of the month)
Expression
-137 - 16d
Numeric Value (after six days)
-$233
Numeric Value (after twenty days)
-$497
Variable Name
d (number of days after the first day of the month)
Expression
-137 - 16d
Numeric Value (after six days)
-$233
Numeric Value (after twenty days)
-$497
Lois hoped to make her fortune telling fortunes. She borrowed $twenty five from her little sister to buy a glowing crystal ball, and set it in the window with high hopes. However, the crystal ball required new batteries often, increasing her debt by five dollars a day, and Lois couldn't find a single person who wanted his or her fortune told. Unfortunately.
Define units for the amount of time that Lois had the crystal ball and Lois' financial state.
Show Lois' financial state two days after she got the glowing crystal ball.
Show Lois' financial state seventeen days after she bought the glowing crystal ball, when she removed the batteries and stuffed it under her bed.
Enter a variable for the amount of time that Lois had the crystal ball and use this variable to write an expression for Lois' financial state.
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 Lois Had Crystal Ball
Lois' Financial State
Unit
Show Lois' financial state two days after she got the glowing crystal ball.
Question 1
Show Lois' financial state seventeen days after she bought the glowing crystal ball, when she removed the batteries and stuffed it under her bed.
Question 2
Expression
Define units for the amount of time that Lois had the crystal ball and Lois' financial state.
Show Lois' financial state two days after she got the glowing crystal ball.
Show Lois' financial state seventeen days after she bought the glowing crystal ball, when she removed the batteries and stuffed it under her bed.
Enter a variable for the amount of time that Lois had the crystal ball and use this variable to write an expression for Lois' financial state.
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 Lois Had Crystal Ball
Lois' Financial State
Unit
Show Lois' financial state two days after she got the glowing crystal ball.
Question 1
Show Lois' financial state seventeen days after she bought the glowing crystal ball, when she removed the batteries and stuffed it under her bed.
Question 2
Expression
days
-$30
-$80
t (amount of time Lois had the crystal ball)
25 + 5t - 2t
-$30
-$80
t (amount of time Lois had the crystal ball)
25 + 5t - 2t
The Pirates baseball team was down by four runs. They scored four runs in each inning that followed, and their opponent scored no runs.
How many runs ahead were they after another four innings?
How many runs ahead were they after an additional six innings?
Enter a variable for the number of additional innings and use this variable to write an expression for the number of runs ahead.
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
Additional Innings
Runs Ahead
Unit
innings
runs
How many runs ahead were they after another four innings?
Question 1
How many runs ahead were they after an additional six innings?
Question 2
Expression
How many runs ahead were they after another four innings?
How many runs ahead were they after an additional six innings?
Enter a variable for the number of additional innings and use this variable to write an expression for the number of runs ahead.
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
Additional Innings
Runs Ahead
Unit
innings
runs
How many runs ahead were they after another four innings?
Question 1
How many runs ahead were they after an additional six innings?
Question 2
Expression
16
28
i (number of additional innings)
4i
28
i (number of additional innings)
4i
One statistic in hockey is a player's plus-minus rating. A hockey player gets a negative point if he is on the ice while the other team scores a goal. The hockey player gets a positive point if he is on the ice while his team scores a goal. At the beginning of November, one hockey player has a plus-minus rating of negative seven points. He averages negative two points per game for the rest of the season.
What will the hockey player's plus-minus rating be if he plays two games in the rest of the season?
What will the hockey player's plus-minus rating be if he plays five games in the rest of the season?
Enter a variable for the number of additional games played and use this variable to write an expression for the player's plus-minus rating.
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
Additional Games
Plus-Minus Rating
Unit
games
points
What will the hockey player's plus-minus rating be if he plays two games in the rest of the season?
Question 1
What will the hockey player's plus-minus rating be if he plays five games in the rest of the season?
Question 2
Expression
What will the hockey player's plus-minus rating be if he plays two games in the rest of the season?
What will the hockey player's plus-minus rating be if he plays five games in the rest of the season?
Enter a variable for the number of additional games played and use this variable to write an expression for the player's plus-minus rating.
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
Additional Games
Plus-Minus Rating
Unit
games
points
What will the hockey player's plus-minus rating be if he plays two games in the rest of the season?
Question 1
What will the hockey player's plus-minus rating be if he plays five games in the rest of the season?
Question 2
Expression
-11
-17
g (number of additional games)
-2g - 7
-17
g (number of additional games)
-2g - 7
Christina solved the equation: eight is equal to z over negative three plus four. She calculated z is equal to negative twelve.
Use the Solver to check Christina's solution.
Check Christina's work.
View Solution History
Substitute for Variable
$$ eight is equal to z over negative three plus four
Enter the value to be substituted for the variable.
eight z over negative three plus four
z =
Enter the expression with the substituted value.
Enter the result.
Use the Solver to check Christina's solution.
Check Christina's work.
View Solution History
Substitute for Variable
$$ eight is equal to z over negative three plus four
Enter the value to be substituted for the variable.
eight z over negative three plus four
z =
Enter the expression with the substituted value.
Enter the result.
Substitute for Variable
$$ eight is equal to z over negative three plus four
Enter the value to be substituted for the variable.
eight
z over negative three plus four =
Enter the expression with the substituted value.
$$ 8 = z/-3 + 4$$
-4 = z/-3
Enter the result.
-12
$$ eight is equal to z over negative three plus four
Enter the value to be substituted for the variable.
eight
z over negative three plus four =
Enter the expression with the substituted value.
$$ 8 = z/-3 + 4$$
-4 = z/-3
Enter the result.
-12
Enter the value to be substituted for the variable.
g over negative two plus six seven
g =
Enter the expression with the substituted value.
Enter the result.
g over negative two plus six seven
g =
Enter the expression with the substituted value.
Enter the result.
Substitute for Variable
$$ g over negative two plus six seven
Enter the value to be substituted for the variable.
seven
g over negative two plus six seven =
Enter the expression with the substituted value.
$$\frac{7}{-2 + 67} $$
Enter the result.
-0.11
$$ g over negative two plus six seven
Enter the value to be substituted for the variable.
seven
g over negative two plus six seven =
Enter the expression with the substituted value.
$$\frac{7}{-2 + 67} $$
Enter the result.
-0.11
1 answer