7th Grade Linear Equations & Inequalities Challenge

A store sells pencils for $0.50 each. If you buy x pencils, how much will you spend? Write an equation to represent the total cost and solve for 10 pencils.

• $7.50

• $2.00

• $10.00

• $5.00

Maria has 3 times as many marbles as John. If John has y marbles, write an equation to represent the number of marbles Maria has and find out how many marbles Maria has if John has 5 marbles.

• 25

• 10

• 20

• 15

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 and calculate the cost for driving 100 miles.

• $20.15

• $35.00

• $50.00

• $40.00

A gardener is planting flowers in rows. If each row has 8 flowers and there are r rows, write an equation to find the total number of flowers planted. How many flowers are there if there are 5 rows?

• 56

• 40

• 48

• 32

A book costs $15. If you have a budget of b dollars, write an inequality to represent how many books you can buy. How many books can you buy if your budget is $50?

• 5

• 2

• 4

• 3

A school is organizing a field trip. The cost per student is $30. If there are s students, write an equation for the total cost T of the trip and find the total cost for 25 students.

• The total cost for 25 students is $750.

• The total cost for 25 students is $500.

• The total cost for 25 students is $900.

• The total cost for 25 students is $600.

Tom has $50. He spends x dollars on a video game. Write an equation to represent how much money he has left and solve for x if he has $30 left.

• 15

• 25

• 10

• 20

A recipe requires 2 cups of sugar for every 3 cups of flour. If you have f cups of flour, write an equation to find the amount of sugar needed and calculate how much sugar is needed for 9 cups of flour.

• 10 cups of sugar

• 4 cups of sugar

• 8 cups of sugar

• 6 cups of sugar

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 does the train travel in 3 hours?

• 180 miles

• 150 miles

• 120 miles

• 200 miles

A concert ticket costs $45. If you want to buy t tickets, write an equation for the total cost C and find the total cost for 4 tickets.

• The total cost for 4 tickets is $120.

• The total cost for 4 tickets is $200.

• The total cost for 4 tickets is $150.

• The total cost for 4 tickets is $180.