Interpreting Linear Equations

Joseph is saving money for his vacation. He already has some money in his bank account and adds a set amount each week when he gets paid. His savings can be shown with this equation

y = 125 + 25x. In this case, y is ...

• the amount he started with

• the amount he saves each week

• the total amount he needs to save for vacation

• the amount he has saved after x number of weeks

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A small tree is planted in the school garden. It grows at a steady rate each week. Its height can be represented by the equation

y = 20 + 2x . In this case, x is .....

• the initial height of the tree

• the weekly growth of the tree

• the total growth after 20 days

• the number of weeks

Tags

CCSS.HSF.LE.B.5

A man-made lake starts the day partly filled with water. More water is being added each minute from a nearby stream. The water is measured in gallons. This equation can be used to describe the amount of water in the lake

y = 10,000 + 50x. In this case, 10,000 is...

• the amount of water in the lake at the beginning of the day

• the amount of water added each minute

• the number of minutes it takes to fill the lake completely

• the total amount of water after x minutes

Tags

CCSS.HSF.LE.B.5

After a day of fishing, a family decides to take their boat from the middle of a lake back toward the dock. It travels at a constant speed measured in kilometers per hour. The equation is

y = 75 – 30x. How many kilometers does the boat travel each hour?

Tags

CCSS.HSF.LE.B.5

Julia is an Uber driver. Customers pay a rate for each mile to their destination and also a tip. The more miles Julia drives, the more money she makes. However, she must pay for the gas that is used. More miles traveled means more gas used. This equation shows her total for one customer

y = 1.50x + 5 - 0.25x. Which part of the equation represents the number of miles driven on this trip?

• -0.25

• 1.50

• 5

• x

• y

Tags

CCSS.HSF.LE.B.5

A small tree is planted in the school garden. It grows at a steady rate each week. Its height can be represented by the equation

y = 20 + 2x . How many inches does the tree grow each week?

• 20

• 2

• x

• y

Tags

CCSS.HSF.LE.B.5

The total daily expenses to operate the school cafeteria are the daily pay for workers and the food costs. There are six employees who are all paid at the same daily rate. There is a standard food cost for each student meal that is served. The expression showing the cafeteria costs for one day is

6(105) + 2.75x. What does the term 6(105) represent?

• The cost for one employee for the week

• The number of meals served to all grade levels in one day

• The cost for all employees for one day

• The cost to feed one student for 6 months

Tags

CCSS.HSA-SSE.A.1A

Joseph is saving money for his vacation. He already has some money in his bank account and adds a set amount each week when he gets paid. His savings can be shown with this equation

y = 125 + 25x. How much does he save each week?

• 25
• 125

• x

• y

Tags

CCSS.HSF.LE.B.5

A couple is renting a car for a road trip. The car rental company charges a fee per day for renting the car. In addition, customers pay a one-time cost for each registered driver. Mileage is unlimited. They do not pay any extra cost no matter how many miles they go. This is good because they plan to travel for over a week. The total cost for a rental is represented by the equation

y = 2(25) + 65x . What is the cost per registered driver?

• 2

• 25

• 65

• x

• y

Tags

CCSS.HSF.LE.B.5

After a day of fishing, a family decides to take their boat from the middle of a lake back toward the dock. It travels at a constant speed measured in kilometers per hour. The equation is

y = 75 – 30x. In this case, 75 represents...

• the distance traveled each hour

• the distance remaining after x hours

• the starting distance from the boat to the dock

• the speed of the boat

Tags

CCSS.HSF.LE.B.5