Exploring Proportional Relationships in 7th Grade Algebra

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write an equation to represent the total cost (C) in terms of miles driven (m). How much would it cost to drive 50 miles?

• $50

• $40

• $60

• $30

Maria is saving money to buy a new bike. She saves $15 each week. Write an equation to represent her total savings (S) after w weeks. How much will she have saved after 4 weeks?

• 75

• 45

• 60

• 30

A recipe calls for 2 cups of flour for every 3 cups of sugar. If you want to make a larger batch using 8 cups of sugar, how many cups of flour will you need?

• 5.33 cups of flour

• 6 cups of flour

• 4 cups of flour

• 3 cups of flour

The temperature in a city increases by 3 degrees every hour. If the current temperature is 15 degrees, write an equation to represent the temperature (T) after h hours. What will the temperature be after 5 hours?

• 30 degrees

• 35 degrees

• 20 degrees

• 25 degrees

A school is planning a field trip. The cost per student is $25, and there are 40 students going. Write an equation to find the total cost (C) for the trip. How much will the trip cost?

• $750

• $500

• The trip will cost $1000.

• $1200

A store sells pencils for $0.50 each. If you buy x pencils, write an equation for the total cost (C) of the pencils. How much will it cost to buy 10 pencils?

• $2.00

• $7.50

• $5.00

• $10.00

A gardener is planting flowers in rows. Each row has 5 flowers. Write an equation to represent the total number of flowers (F) in r rows. How many flowers are there in 8 rows?

• 40

• 25

• 30

• 50

A train travels at a speed of 60 miles per hour. Write an equation to represent the distance (D) traveled in t hours. How far will the train travel in 3 hours?

• 90 miles

• 240 miles

• 150 miles

• 180 miles

A phone plan costs $40 per month plus $0.10 per text message. Write an equation to represent the total cost (C) in terms of the number of text messages (m). How much will the plan cost if you send 100 messages?

• $60

• $40

• $50

• $70

A recipe requires 4 eggs for every 2 cups of milk. If you want to use 12 cups of milk, how many eggs will you need? Write an equation to represent the relationship.

• 30 eggs

• 10 eggs

• 18 eggs

• 24 eggs