Solving Equations & Graphing Inequalities: Grade 7 Challenge

A store sells pencils for $0.50 each. If you buy x pencils, write an equation to represent the total cost. How many pencils can you buy with $5?

• 10

• 5

• 15

• 20

Maria has 3 times as many marbles as John. If John has y marbles, write an equation to express the number of marbles Maria has. If John has 10 marbles, how many does Maria have?

• 25

• 15

• 20

• 30

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write an equation to represent the total cost C for driving m miles. How much would it cost to drive 100 miles?

• $50

• $35

• $20

• $15

The temperature in a freezer must be below -5 degrees Celsius to keep food frozen. Write an inequality to represent this situation. If the current temperature is -8 degrees, is the food safe?

• The temperature is too warm for freezing.

• Yes, the food is safe.

• No, the food is not safe.

• Food can be stored safely at 0 degrees Celsius.

A school is planning a field trip and needs to raise at least $300. If each student contributes x dollars, write an inequality to represent the total amount raised by n students. How much must each student contribute if there are 20 students?

• Each student must contribute at least $15.

• Each student must contribute at least $25.

• Each student must contribute at least $20.

• Each student must contribute at least $10.

A gardener has a rectangular garden that is 4 feet longer than it is wide. If the width is w feet, write an equation for the perimeter P of the garden. If the perimeter is 48 feet, what are the dimensions of the garden?

• Width: 8 feet, Length: 12 feet

• Width: 12 feet, Length: 16 feet

• Width: 10 feet, Length: 14 feet

• Width: 6 feet, Length: 10 feet

A movie theater has a seating capacity of 200. If x seats are reserved for a special event, write an inequality to represent the number of seats available for regular customers. If 50 seats are reserved, how many are left for regular customers?

• 100

• 200

• 75

• 150

A bike shop sells bikes for $150 each. If they have a total of y bikes, write an equation to find the total revenue R from selling all the bikes. How much revenue is generated if they sell 30 bikes?

• 6000

• 4500

• 3000

• 450

A school has a rule that students must be at least 12 years old to join the basketball team. Write an inequality to represent this situation. If a student is 11 years old, can they join the team?

• Yes, the student can join the team.

• The student can join if they play well.

• The student can join if they have a parent permission.

• No, the student cannot join the team.

A recipe requires 2 cups of flour for every 3 cups of sugar. Write an equation to express the relationship between the cups of flour f and sugar s. If you have 6 cups of sugar, how many cups of flour do you need?

• 2 cups of flour

• 4 cups of flour

• 3 cups of flour

• 6 cups of flour