Valentina's hens can produce 5 eggs each day.
If Valentina collects the eggs from her hens for y days, write an algebraic expression for the total number of eggs.
Find the number of eggs Valentina will have after 30 days.
Explain how you got your answer to part (b).
John breeds dogs for sale. Each of his d dogs gives birth to p puppies.
Write an algebraic expression for the total number of puppies.
Can the value of p be a fraction?
If he has 3 dogs, find the total number of puppies.
Judy has 72 pencils, which she shares evenly among the students in her class.
If there are q students in her class, write an algebraic expression for the number of pencils given to each student.
If there are 18 students in the class, how many pencils does each student receive?
If there are 36 students in the class, how many pencils does each student receive?
As the number of students in the class increases, does the number of pencils each student receives increase or decrease?
At John's birthday party, cake slices are shared evenly among his 8 guests.
If John shares x slices, write an algebraic expression for the number of slices given to each guest.
If John shares 32 cake slices, find the number of slices given to each guest.
Kenneth uses a watering can to give each of his plants an equal amount of water.
If his watering can contains m mL of water and he has n plants, write an algebraic expression for how much water is given to each plant.
As n increases, do the plants receive more or less water?
Robert visits a carnival that costs \$5 to enter, and each ride costs \$1 per person.
If Robert decides to go on b rides, write an algebraic expression for the total amount he spends at the carnival.
If Robert goes on 6 rides, calculate the amount of money he spend in total.
Ben has 241 GB of available space on an external hard drive. He decides to transfer his files to this drive.
If the transferred files have a total size of x GB , write an algebraic expression for the amount of space left on the external drive.
Find the space left if Ben transfers 16 GB in total.
To get to school, Amelia walks for 9 minutes to the bus stop and waits 2 minutes for the bus to arrive. She rides the bus for the rest of the way to school.
If the bus trip takes n minutes, write an algebraic expression for the total time it takes Amelia to get to school.
Yesterday the bus trip took 15 minutes. Find the total time it took for Amelia to get to school yesterday.
In a Year 7 class, students are either twelve years old or thirteen years old.
If there are k twelve year-old and m thirteen year-old students, write an algebraic expression for the total number of students in the class.
If there are 4 twelve year-old and 16 thirteen year-old students, find the number of students are in the class.
Tennis coach Luigi has 5 balls left. To ensure he has enough for the next training session, he orders one new pack of balls for each of his y students.
If the new tennis balls come in packs of 4, write an algebraic expression for the total number of tennis balls Luigi will have.
Find the number of tennis balls Luigi will have if he coaches 7 students.
Sarah has 14 cookies in her cookie jar. Her 2 children each eat a cookie every day.
Write an algebraic expression for the number of cookies left in the jar after y days.
Are the number of cookies decreasing by the same amount each day?
Vanessa has \$700 in her bank account. She only uses the account to pay her mobile phone bill each month.
If each monthly bill is \$14, write an algebraic expression for how much Vanessa has in her account after c months.
Find the amount of money she will have in her account after she pays her bill for 4 months.
Sally attends a dessert festival. Each ice cream costs \$6 and each milkshake costs \$8.
If Sally buys c ice creams and m milkshakes, write an algebraic expression for the total cost.
How much would two ice creams and one milkshake cost?
Using algebra, how much would c ice creams and no milkshakes cost?
Laura has a piggy bank in which she collects 20c and 50c coins. After some time, she loses track of how many coins are in the piggy bank.
Let m represent the number of 20c coins and n represent the number of 50c coins. Write an algebraic expression for the total value of Laura’s coins in cents.
Laura breaks her piggy bank and discovers that she has thirteen 20c and twenty-seven 50c coins. Find the total value of these coins in dollars.
Valerie places a bird feeder in her garden. That day, she sees 3 birds use the feeder. The next day she sees 6 birds, and on the third day she sees 9 birds.
If the number of birds continues to follow the pattern, find the number of birds that Valerie will see on the fourth day.
If the pattern continues, write an algebraic expression for the number of birds Valerie sees on the x th day.
Water is dripping from a tap into a large bucket, so that:
After 1 hour, the water level in the bucket is 5 cm
After 2 hours the water level is at 10 cm
After 3 hours the water level reaches 15 cm
If the tap stops leaking after a hours, write an algebraic expression for the water level in the bucket at this time.
Is the water level increasing by the same amount each hour?
Fred likes to go kayaking. He takes his boat down to the lake which is 400 m away from his house.
After 1 minute of paddling he is 490 m away from his house
After 2 minutes of paddling he is 580 m away from his house
After 3 minutes of paddling he is 670 m away from his house
Fred paddles for n minutes in total. Write an algebraic expression for the distance from his house at this time.
How far does Fred travel in the kayak per minute?
Is Fred is paddling at a constant pace for the first n minutes?
If Fred kayaks for 10 minutes, how far does he travel from his house altogether?
Kathleen cuts squares from 1 cm grid paper:
The first square is 2 \text{ cm} \times 2 cm and has an area that contains four 1 cm^2 pieces
The second square is 3 \text{ cm} \times 3 cm and has an area that contains nine 1 cm^2 pieces
The third square is 4 \text{ cm} \times 4 cm and has an area that contains sixteen 1 cm^2 pieces
If the pattern continues, find the number of 1 cm^2 pieces that fit in a square that is 5 \text{ cm} \times 5 cm.
Write an algebraic expression for the number of 1 cm^2 are in a square with a side length of h cm.