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WorksheetsEOY Word Problems
Total questions: 116
Worksheet time: 5hrs 50mins
SAT.7.1
Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total of $49.10.
Write an equation to determine the distance in miles (x) between the airport and Ann's home.
2.10x + 5 = 49.10
2.10x + 49.10 = 5
2.10x - 5 = 49.10
5-2.10x = 49.10
SAT.7.1a
Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total of $49.10.
How many miles were traveled?
Kindly round to the nearest whole number (if needed) and input the numerical value only.
(a)
SAT.7.2
At the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 oranges for a total harvest of 41790 oranges.
Write an equation to determine the initial number of orange trees (t) on MacDonald's farm.
Kindly enter your response without spaces
(a)
SAT.7.2a
At the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 oranges for a total harvest of 41790 oranges.
Find the initial number of orange trees on MacDonald's farm and kindly enter the numerical value only.
(a)
SAT.7.3
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was $43.25. He had to pay a $7 entrance fee and $1.25 for every minute he was on the trampoline.
Write an equation to determine the number of minutes (t) that Raymond was on the trampoline.
(a)
SAT.7.3a
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was $43.25. He had to pay a $7 entrance fee and $1.25 for every minute he was on the trampoline.
Find the number of minutes he was on the trampoline, and kindly enter the numerical value only.
(a)
SAT.7.4
In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of $5.88.
Write an equation to determine the original price per pound (p).
3(.75+p)=5.88
3+.75p=5.88
.75p-3=5.88
3p+.75=5.88
SAT.7.4a
In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of $5.88.
Find the original price per pound.
(a)
SAT.8.1
Ever since Katherine moved to her new home, she's been keeping track of the height of the tree outside her window.
The variable h models the height of the tree (in centimeters), t years since Katherine moved in.
h=210+33t
How tall was the tree when Renata moved in?
(a)
SAT.8.2
Ethan wants to fill a glass tank with spherical marbles and then fill the remaining space with water.
The variable w models the amount of water (in liters) Ethan uses if he uses n marbles.
w=32-0.05n
What is the volume of each marble?
(a)
SAT.8.3
We can measure temperature in two different common units: degrees Celsius and degrees Fahrenheit.
The variable F represents the temperature in degrees Fahrenheit that is equivalent to C, the temperature in degrees Celsius.
F=32+1.8C
What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 10 degrees Celsius?
(a)
SAT.8.4
Caleb and JohnDavid open a paintball arena and they charge an initial entrance fee plus a fixed price per ball.
The variable p models the total price (in dollars) as a function of n, the number of balls used.
p=0.80n+5.50
What is the entrance fee?
Kindly include the proper punctuation.
(a)
SAT.9.1
Peaches tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5 milliliters per second. After 17 seconds, 148.5 milliliters of slushy remained.
How much slushy was originally in the cup?
(a)
SAT.9.1a
Peaches tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5 milliliters per second. After 17 seconds, 148.5 milliliters of slushy remained.
How long did it take Peaches to drink all the slushy?
(a)
SAT.9.2
A big cruise ship dropped anchor off the Caribbean island of Barbuda. The heavy anchor was released from a height of 54 meters above the water's surface, and it fell at a constant rate. After 35 seconds, the anchor was 9 meters below the water's surface.
How fast did the anchor drop?
(a)
SAT.9.2a
A big cruise ship dropped anchor off the Caribbean island of Barbuda. The heavy anchor was released from a height of 54 meters above the water's surface, and it fell at a constant rate. After 35 seconds, the anchor was 9 meters below the water's surface.
How long did it take the anchor to reach the water's surface?
(a)
SAT.9.3
A big cruise ship dropped anchor off the Caribbean island of Antigua. The heavy anchor dropped into the water at a rate of 2.5 meters per second. After 45 seconds, the anchor was 40 meters below the water's surface.
From what height (above the water's surface) was the anchor released?
(a)
SAT.9.3a
A big cruise ship dropped anchor off the Caribbean island of Antigua. The heavy anchor dropped into the water at a rate of 2.5 meters per second. After 45 seconds, the anchor was 40 meters below the water's surface.
How long did it take the anchor to reach the water's surface?
(a)
SAT.9.4
A battery was charged. When the charging began, it was 23 percent full. After 30 minutes of charging, the battery was 89 percent full.
How fast was the battery charged?
(a)
SAT.9.4a
A battery was charged. When the charging began, it was 23 percent full. After 30 minutes of charging, the battery was 89 percent full.
How long did it take the battery to be fully charged?
(a)
SAT.10.1
Grace is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove to get to the safe zone at 24 meters per second. After 4 seconds of driving, she was 70 meters away from the safe zone.
Let y represent the distance (in meters) from the safe zone after x seconds.
Complete the equation for the relationship between the distance and number of seconds.
(a)
SAT.10.3
Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 for each hour of work. Her total fee for a 4-hour job, for instance, is $32.
Let y represent Carolina's fee (in dollars) for a single job that took x hours for her to complete.
Complete the equation for the relationship between the fee and number of hours.
(a)
SAT.11.1
Harry took a loan from the bank.
D represents Harry's remaining debt (in dollars) after t months.
D=-200t+9000
What was the size of Harry's loan?
Kindly include the dollar sign in your answer.
(a)
SAT.11.2
Mr. Mole left his burrow and started digging his way down.
A represents Mr. Mole's altitude relative to the ground (in meters) after t minutes.
A=-2.3t-7
How far below the ground does Mr. Mole's burrow lie?
(a)
SAT.11.3
Laura mows lawns. She charges an initial fee and a constant fee for each hour of work.
F represents Laura's fee (in dollars) for working t hours.
F=6+12t
How much does Laura charge for each hour of work?
Kindly include the "$" in your answer
(a)
SAT.11.4
Agent Houlihan is transferring classified files from the CIA mainframe into their flash drive.
S represents the size of the files on the drive (in megabytes) after t seconds.
S=5t+45
How many megabytes are transferred every 10 seconds?
(a)
SAT.L7.2a
Kevin is 2 times as old as Gabriela. 12 years ago, Kevin was 6 times as old as Gabriela.
How old is Gabriela now?
Kindly enter the numerical value only
(a)
SAT.L7.2b
Ben is 12 years older than Ishaan. Ben and Ishaan first met two years ago. Three years ago, Ben was 4 times as old as Ishaan.
How old is Ben now?
Kindly enter the numerical value only
(a)
SAT.L7.2c
Kevin is 4 times as old as Daniel and is also 6 years older than Daniel.
How old is Kevin?
Kindly enter the numerical value only
(a)
SAT.L7.2d
Ishaan is 2 times as old as Christopher. 35 years ago, Ishaan was 7 times as old as Christopher.
How old is Ishaan now?
Kindly enter the numerical value only
(a)
SAT.L7.3a
Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10.
How much does a liter of milk cost?
(a)
SAT.L7.3b
Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10.
How much does a loaf of bread cost?
(a)
SAT.L7.3c
Dr. Potter provides vaccinations against polio and measles.
Each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. Last year, Dr. Potter gave a total of 60 vaccinations that consisted of a total of 184 doses.
How many measles vaccinations were given?
(a)
SAT.L7.3d
Dr. Potter provides vaccinations against polio and measles.
Each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. Last year, Dr. Potter gave a total of 60 vaccinations that consisted of a total of 184 doses.
How many polio vaccinations were given?
(a)
SAT.L7.3e
Each chef at "Sushi Emperor" prepares 15 regular rolls and 20 vegetarian rolls daily. On Tuesday, each customer ate 2 regular rolls and 3 vegetarian rolls. By the end of the day, 4 regular rolls and 1 vegetarian roll remained uneaten.
How many chefs were in "Sushi Emperor" on Tuesday?
(a)
SAT.L7.3f
Each chef at "Sushi Emperor" prepares 15 regular rolls and 20 vegetarian rolls daily. On Tuesday, each customer ate 2 regular rolls and 3 vegetarian rolls. By the end of the day, 4 regular rolls and 1 vegetarian roll remained uneaten.
How many customers were in "Sushi Emperor" on Tuesday?
(a)
SAT.L7.3g
The combined average weight of an okapi and a llama is 450 kilograms. The average weight of 3 llamas is 190 kilograms more than the average weight of one okapi.
On average, how much does an okapi weigh?
(a)
SAT.L7.3h
The combined average weight of an okapi and a llama is 450 kilograms. The average weight of 3 llamas is 190 kilograms more than the average weight of one okapi.
On average, how much does a llama weigh?
(a)
SAT.L7.4a
A
B
C
D
SAT.L7.4b
A
B
C
D
SAT.L7.4c
A
B
C
D
SAT.L7.2a
Kevin is 2 times as old as Gabriela. 12 years ago, Kevin was 6 times as old as Gabriela.
How old is Gabriela now?
Kindly enter the numerical value only
(a)
SAT.L7.2b
Ben is 12 years older than Ishaan. Ben and Ishaan first met two years ago. Three years ago, Ben was 4 times as old as Ishaan.
How old is Ben now?
Kindly enter the numerical value only
(a)
SAT.L7.2c
Kevin is 4 times as old as Daniel and is also 6 years older than Daniel.
How old is Kevin?
Kindly enter the numerical value only
(a)
SAT.L7.2d
Ishaan is 2 times as old as Christopher. 35 years ago, Ishaan was 7 times as old as Christopher.
How old is Ishaan now?
Kindly enter the numerical value only
(a)
SAT.L7.3a
Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10.
How much does a liter of milk cost?
(a)
SAT.L7.3b
Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10.
How much does a loaf of bread cost?
(a)
SAT.L7.3c
Dr. Potter provides vaccinations against polio and measles.
Each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. Last year, Dr. Potter gave a total of 60 vaccinations that consisted of a total of 184 doses.
How many measles vaccinations were given?
(a)
SAT.L7.3d
Dr. Potter provides vaccinations against polio and measles.
Each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. Last year, Dr. Potter gave a total of 60 vaccinations that consisted of a total of 184 doses.
How many polio vaccinations were given?
(a)
SAT.L7.3e
Each chef at "Sushi Emperor" prepares 15 regular rolls and 20 vegetarian rolls daily. On Tuesday, each customer ate 2 regular rolls and 3 vegetarian rolls. By the end of the day, 4 regular rolls and 1 vegetarian roll remained uneaten.
How many chefs were in "Sushi Emperor" on Tuesday?
(a)
SAT.L7.3f
Each chef at "Sushi Emperor" prepares 15 regular rolls and 20 vegetarian rolls daily. On Tuesday, each customer ate 2 regular rolls and 3 vegetarian rolls. By the end of the day, 4 regular rolls and 1 vegetarian roll remained uneaten.
How many customers were in "Sushi Emperor" on Tuesday?
(a)
SAT.L7.3g
The combined average weight of an okapi and a llama is 450 kilograms. The average weight of 3 llamas is 190 kilograms more than the average weight of one okapi.
On average, how much does an okapi weigh?
(a)
SAT.L7.3h
The combined average weight of an okapi and a llama is 450 kilograms. The average weight of 3 llamas is 190 kilograms more than the average weight of one okapi.
On average, how much does a llama weigh?
(a)
SAT.L7.4a
A
B
C
D
SAT.L7.4b
A
B
C
D
SAT.L8.2a
Ifede can use a limited number of spells to defeat trolls and goblins. It takes the same number of spells to defeat each troll, and it takes 3 spells to defeat each goblin.
Let T represent the number of trolls and G represent the number of goblins that Ifede can defeat without running out of spells.
5T+3G≤85
How many spells are required for each troll?
Kindly enter numerical value only.
(a)
SAT.L8.2b
Ifede can use a limited number of spells to defeat trolls and goblins. It takes the same number of spells to defeat each troll, and it takes 3 spells to defeat each goblin.
Let T represent the number of trolls and G represent the number of goblins that Ifede can defeat without running out of spells.
5T+3G≤85
What's the maximum amount of spells that Ifede can use?
Kindly enter numerical value only.
(a)
SAT.L8.2c
Ifede can use a limited number of spells to defeat trolls and goblins. It takes the same number of spells to defeat each troll, and it takes 3 spells to defeat each goblin.
Let T represent the number of trolls and G represent the number of goblins that Ifede can defeat without running out of spells.
5T+3G≤85
Can Ifede defeat 15 goblins with 7 spells without running out of spells?
Yes
No
SAT.L8.2d
Kindly enter numerical value only.
(a)
SAT.L8.2e
In order to win a quiz contest, Olga must score more than 400 points. She earns 12 points for each right answer, and loses 4 points for each wrong answer.
Write an inequality that represents the number of right answers (R) and wrong answers (W) Olga can give to win the contest.
(a)
SAT.L8.2f
Given the inequality:
25W+40J<120
Mwamini wants to drink water and juice within a certain time limit. She drinks juice at a constant rate, and she drinks water at a rate of 25 seconds per liter.
Let W represent the number of liters of water and J represent the number of liters of juice that Mwamini can drink within her time limit.
At what rate does Mwamini drink juice?
(a)
SAT.L8.2g
Given the inequality:
25W+40J<120
Mwamini wants to drink water and juice within a certain time limit. She drinks juice at a constant rate, and she drinks water at a rate of 25 seconds per liter.
Let W represent the number of liters of water and J represent the number of liters of juice that Mwamini can drink within her time limit.
What's Mwamini's time limit?
(a)
SAT.L8.2h
Given the inequality:
25W+40J<120
Mwamini wants to drink water and juice within a certain time limit. She drinks juice at a constant rate, and she drinks water at a rate of 25 seconds per liter.
Let W represent the number of liters of water and J represent the number of liters of juice that Mwamini can drink within her time limit.
Can Mwamini drink 2 liters of water and 1 liter of juice within their time limit?
Yes
No
SAT.L8.3a
A
B
C
D
SAT.L8.3b
Kindly enter numerical value only
(a)
SAT.L8.3c
A cupcake requires 35 grams of sugar and 50 grams of flour, and a muffin requires 30 grams of sugar and 65 grams of flour.
Shawna needs to use up at least 460 grams of sugar to make cupcakes and muffins, and she wants to use at most 970 grams of flour.
Let C denote the number of cupcakes she makes and M the number of muffins she makes.
Write an inequality that represents the condition based on the number of grams of sugar.
35c+30m≥460
50c+65m≥970
35c+30m>460
35c+30m≤460
50c+65m>970
SAT.L8.3d
A cupcake requires 35 grams of sugar and 50 grams of flour, and a muffin requires 30 grams of sugar and 65 grams of flour.
Shawna needs to use up at least 460 grams of sugar to make cupcakes and muffins, and she wants to use at most 970 grams of flour.
Let C denote the number of cupcakes she makes and M the number of muffins she makes.
Write an inequality that represents the condition based on the number of grams of flour.
35c+30m≥970
50c+65m≥970
35c+30m>460
35c+30m≤460
50c+65m>970
SAT.L8.3e
A
B
C
D
SAT3.4.2d
Hint: Eliminate any answers that would cause the denominator to equal zero
-5
-4
-2
3
1
SAT3.4.2c
Hint: Eliminate any answers that would cause the denominator to equal zero
-5
-3
-2
0
1
SAT3.4.2b
Hint: Eliminate any answers that would cause the denominator to equal zero
-5
-3
-2
0
1
F.4.1
A
B
C
F.4.2
B
C
F.4.3
A
B
C
F.4.4
A
B
C
F.4.5
A
B
C
F.4.6
A
B
C
F.4.7
A
B
C
F.4.8
A
B
C
F.4.9
A
B
C
F.4.10
A
B
C
F.4.11
A
B
C
F.4.12
A
B
C
F.6.3.Bonus1
What's the domain of this prompt?
The number of days from the time the plant was purchased
The height of the plant measured in centimeters
The height of the plant at its tallest
When the plant began sprouting
How long Pooja had the plant
F.6.3.Bonus2
Which represents the set of inputs for this prompt?
The number of days from the time the plant was purchased
The height of the plant measured in centimeters
The height of the plant at its tallest
When the plant began sprouting
How long Pooja had the plant
F.6.3.Bonus3
Which represents the set of range for this prompt?
The number of days from the time the plant was purchased
The height of the plant measured in centimeters
The height of the plant at its tallest
When the plant began sprouting
How long Pooja had the plant
F.6.3.Bonus4
Which represents the set of outputs for this prompt?
The number of days from the time the plant was purchased
The height of the plant measured in centimeters
The height of the plant at its tallest
When the plant began sprouting
How long Pooja had the plant
F.6.3.Bonus5
Which of the following would be based on the x-axis?
The number of days from the time the plant was purchased
The height of the plant measured in centimeters
The height of the plant at its tallest
When the plant began sprouting
How long Pooja had the plant
F.6.3.Bonus6
Which of the following would be based on the y-axis?
The number of days from the time the plant was purchased
The height of the plant measured in centimeters
The height of the plant at its tallest
When the plant began sprouting
How long Pooja had the plant
F.6.3b
Kindly define the interval of the domain
(a)
F.6.3.Bonus7
What's the domain of this function
Candy bars
Price
Price of all candy bars
Price of each candy bar
The maximum number of candy bars that can be sold
F.6.3.Bonus8
What's the range of this function
Candy bars
Price
Number of candy bars in the shop
Price of each candy bar
The maximum number of candy bars that can be sold
F.6.3.Bonus9
Which represent the input of this function
Candy bars
Price
Number of candy bars in the shop
Price of each candy bar
The maximum number of candy bars that can be sold
F.6.3.Bonus10
Which represent the output of this function
Candy bars
Price
Number of candy bars in the shop
Price of each candy bar
The maximum number of candy bars that can be sold
F.6.3.Bonus11
Which would be graphed on the y-axis
Candy bars
Price
Number of candy bars in the shop
Price of each candy bar
The maximum number of candy bars that can be sold
F.6.3.Bonus12
Which would be graphed on the x-axis
Candy bars
Price
Number of candy bars in the shop
Price of each candy bar
The maximum number of candy bars that can be sold
F.6.3c
Integers: Candy bars can only be purchased in whole number intervals
Real Numbers: Candy bars can be purchased using both whole numbers and decimal values
Integers: Candy bars can be purchased using both whole numbers and decimal values
Real Numbers: Candy bars can only be purchased in whole number intervals
F.6.3d
Kindly define the interval of the domain
(a)
F.6.3.Bonus13
Which of the following would be on the x-axis
Steps Mason moved
Height above the ground
Where Mason started on the ladder
Height on the ladder
Steps above the ground
F.6.3.Bonus14
Which of the following represents the "input"?
Steps Mason moved
Height above the ground
Where Mason started on the ladder
Height on the ladder
Steps above the ground
F.6.3.Bonus15
Which of the following represents the "output"?
Steps Mason moved
Height above the ground
Where Mason started on the ladder
Height on the ladder
Steps above the ground
F.6.3.Bonus16
Which of the following represents the domain?
Steps Mason moved
Height above the ground
Where Mason started on the ladder
Height on the ladder
Steps above the ground
F.6.3.Bonus17
Which of the following represents the range?
Steps Mason moved
Height above the ground
Where Mason started on the ladder
Height on the ladder
Steps above the ground
F.6.3.Bonus18
Which of the following would be graphed on the y-axis?
Steps Mason moved
Height above the ground
Where Mason started on the ladder
Height on the ladder
Steps above the ground
F.6.3e
Integers: Steps can be either positive or negative based on moving up or down the ladder
Real Numbers: Steps can be either positive or negative based on moving up or down the ladder
Integers: The height difference can be either positive or negative based on moving up or down the ladder
Real Numbers: The height difference can be either positive or negative based on moving up or down the ladder
Integers: Steps taken on a ladder can only be positive whole numbers
F.6.3f
Kindly define the interval of the domain
(a)
F.6.3g
Which number type is more appropriate for the domain of H?
Integers: Years can be measured in whole numbers exclusively
Real Numbers: Years can be measured in whole numbers exclusively
Integers: Home runs can average as decimal values
Real Numbers: Home runs can average as decimal values
Real Numbers: Seasons are routinely measured by both the year and the number of days into the season
F.6.3h
Kindly select the appropriate domain.
0≤y≤73
0≤y≤2010
42≤y≤73
2000≤y≤2010
F.7.8
"In Super Smash Bros, Daniel always has 3 more wins than twice the number of his losses."
Identify all that are true
This is a function
This is not a function
An output has multiple inputs
An input has multiple outputs
Each input only has one output
F.7.9
Grace and Ashley are selling high-speed golf cart rides to help classmates escape a zombie apocalypse. Once participants sign away the guarantee of their health and safety, Grace and Ashley proceed to zip them away at top speeds. Daniel (but which one Mr. Larry?) proposes they rank their classmates in order to establish a priority list of who to save first.
The system:
Classmates whose likeability is rated less than 3 out of 5 pay $50
Classmates whose likeability is rated at 3 out of 5 or greater pay $1
Is the likeability rating a function of the price paid?
This is a function
This is not a function
An output has multiple inputs
An input has multiple outputs
Each input only has one output
F.10.3b
Identify the statement that aligns with:
Relative maximum or minimum
The fastest possible growth rate is 2.6 millimeters per year
At sea level, the tree grows by 1.4 millimeters each year
As the altitude surpasses 7 kilometers above sea level, the growth rate of the tree declines
At 1.4 millimeters above sea level, the tree grows by 0 millimeters each year
The fastest possible growth rate is 3 millimeters per year
F.10.3c
Identify the statement that aligns with:
Increasing or decreasing interval
The fastest possible growth rate is 2.6 millimeters per year
At sea level, the tree grows by 1.4 millimeters each year
As the altitude surpasses 7 kilometers above sea level, the growth rate of the tree declines
At 1.4 millimeters above sea level, the tree grows by 0 millimeters each year
As the altitude surpasses 8 kilometers above sea level, the growth rate of the tree declines
SP.2.5
The mixture has less than the intended volume and has more than the intended percent of butterfat.
The mixture has the intended volume and has more than the intended percent of butterfat.
The mixture has the intended volume and has the intended percent of butterfat.
The mixture has more than the intended volume and has the intended percent of butterfat.
SP.2.6
Marcelina spends the intended amount of money and buys the intended amount of corn.
Marcelina spends the intended amount of money and buys more than the intended amount of corn.
Marcelina spends less than the intended amount of money and buys the correct amount of corn.
Marcelina spends less than the intended amount of money and buys less than enough corn.
SP.2.7
A number of books and their cost where the subscription with the annual fee costs less
A number of books and their cost where the subscription that charges per book costs less
A number of books and their cost where both subscriptions cost the same
A number of books and their cost that is not possible with either subscription
SP.2.8
Chana's distance from the starting line at a time when she is behind Josiah
Josiah's distance from the starting line at a time when he is behind Chana
Chana's and Josiah's distance from the starting line at the time when Chana catches up with Josiah
Chana's distance from the starting line at a time when she is farther than Josiah
