Real-Life Equations and Graphs: Grade 7 Challenges

A store sells pencils for $2 each and erasers for $3 each. If a student buys a total of 10 items and spends $24, how many pencils and erasers did they buy? Create an equation to represent this scenario.

• 6 pencils and 4 erasers

• 5 pencils and 5 erasers

• 4 pencils and 6 erasers

• 7 pencils and 3 erasers

Maria has twice as many marbles as John. If John has x marbles and together they have 30 marbles, create an equation to find out how many marbles each of them has.

• John has 12 marbles and Maria has 18 marbles.

• John has 15 marbles and Maria has 15 marbles.

• John has 5 marbles and Maria has 25 marbles.

• John has 10 marbles and Maria has 20 marbles.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer pays $70, how many miles did they drive? Write an equation to solve this problem.

• 100 miles

• 50 miles

• 200 miles

• 150 miles

In a school, the number of boys is 5 more than twice the number of girls. If there are g girls, create an equation to express the total number of students in the school.

• 4g + 5

• 3g + 5

• 2g + 5

• g + 5

A gardener is planting flowers in two types of pots. The small pots hold 3 flowers each, and the large pots hold 5 flowers each. If the gardener has 30 flowers and uses a total of 8 pots, create an equation to find the number of each type of pot used.

• 2 small pots and 6 large pots

• 4 small pots and 4 large pots

• 5 small pots and 3 large pots

• 6 small pots and 2 large pots

A movie theater sells adult tickets for $12 and child tickets for $8. If a family buys a total of 6 tickets and spends $60, create an equation to determine how many adult and child tickets were purchased.

• 4 adult tickets and 2 child tickets

• 2 adult tickets and 4 child tickets

• 5 adult tickets and 1 child ticket

• 3 adult tickets and 3 child tickets

A bike shop sells mountain bikes for $300 and road bikes for $400. If a customer buys a total of 5 bikes and spends $1,800, create an equation to find out how many of each type of bike was bought.

• 4 mountain bikes and 1 road bike

• 2 mountain bikes and 3 road bikes

• 1 mountain bike and 4 road bikes

• 3 mountain bikes and 2 road bikes

In a classroom, the number of boys is 3 less than three times the number of girls. If there are g girls, create an equation to express the total number of boys in the classroom.

• 2g + 3

• 3g - 3

• 4g - 3

• g + 3

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? Create an equation to represent this relationship.

• 18 cups of sugar

• 21 cups of sugar

• 12 cups of sugar

• 15 cups of sugar

A bookstore sells novels for $15 each and textbooks for $25 each. If a customer buys a total of 4 books and spends $70, create an equation to find out how many novels and textbooks were purchased.

• 3 novels and 1 textbook

• 1 novel and 3 textbooks

• 4 novels and 0 textbooks

• 2 novels and 2 textbooks