7th Grade: Solving Equations & Interpreting Solutions

A school is organizing a field trip. The cost for each student is $15, and the total cost for 30 students is $450. Write an equation to represent the total cost and check if the solution is accurate.

• Total Cost = 15 + 30 = 45

• Total Cost = 15 * 20 = 300

• Total Cost = 15 * 30 = 450

• Total Cost = 30 * 15 = 300

Maria and John are saving money for a concert. Maria has $20 more than John. If together they have $100, set up the equations to find out how much each has and interpret the solution in context.

• John has $50 and Maria has $50.

• John has $30 and Maria has $70.

• John has $40 and Maria has $60.

• John has $20 and Maria has $80.

A farmer has chickens and cows. If there are 50 animals in total and the number of chickens is twice the number of cows, set up the equations to find the number of each type of animal and check your solution.

• Cows: 20, Chickens: 30

• Cows: 10, Chickens: 40

• Cows: 25, Chickens: 25

• Cows: 16, Chickens: 34

In a bookstore, a novel costs $12 and a magazine costs $5. If a customer buys 3 novels and some magazines for a total of $51, set up the equation to find out how many magazines were bought and verify your answer.

• 4

• 3

• 2

• 5

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50 for a rental, set up the equation to find out how many miles they drove and check if your solution makes sense.

• 100 miles

• 150 miles

• 120 miles

• 80 miles

Two friends, Alex and Jamie, are collecting stickers. Alex has 5 more stickers than Jamie. If together they have 45 stickers, set up the equations to find out how many stickers each has and interpret the results in context.

• Jamie has 20 stickers and Alex has 25 stickers.

• Jamie has 10 stickers and Alex has 35 stickers.

• Jamie has 25 stickers and Alex has 20 stickers.

• Jamie has 15 stickers and Alex has 30 stickers.

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a batch that uses 12 cups of flour, how many cups of sugar will you need? Set up the equation and check if your solution is reasonable.

• 18 cups of sugar

• 12 cups of sugar

• 10 cups of sugar

• 15 cups of sugar

A concert hall has 200 seats. If 3/4 of the seats are filled, how many seats are empty? Set up the equation to find the number of empty seats and interpret the solution in context.

• 25

• 50

• 75

• 100

In a class, the ratio of boys to girls is 3:2. If there are 30 students in total, set up the equations to find out how many boys and girls are in the class and check your solution for accuracy.

• 20 boys and 10 girls

• There are 18 boys and 12 girls in the class.

• 12 boys and 18 girls

• 15 boys and 15 girls

A store sells pencils for $0.50 each and erasers for $1.00 each. If a customer buys a total of 10 items for $6.00, set up the equations to find out how many pencils and erasers were bought and verify your answer.

• 5 pencils and 5 erasers

• 8 pencils and 2 erasers

• 6 pencils and 4 erasers

• 7 pencils and 3 erasers