Solving Word Problems: Graphing Equations for 8th Grade

A farmer has 100 meters of fencing to create a rectangular pen for his sheep. The length of the pen is 10 meters more than its width. Formulate the equations and graph them to find the dimensions of the pen.

• Width: 15 meters, Length: 25 meters

• Width: 20 meters, Length: 30 meters

• Width: 25 meters, Length: 35 meters

• Width: 30 meters, Length: 40 meters

Two friends, Alex and Jamie, are selling lemonade and cookies at a local fair. Alex sells lemonade for $2 per cup and Jamie sells cookies for $3 each. Together, they want to make $60. Write the equations and graph them to find how many cups of lemonade and cookies they need to sell.

• (5, 25)

• They need to sell combinations of lemonade and cookies such as (0, 20), (15, 10), (30, 0), etc.

• (10, 15)

• (20, 5)

A school is planning a field trip and has a budget of $300. The cost per student for the bus is $15, and the cost for admission to the museum is $10. Create the equations and graph them to determine how many students can attend the trip within the budget.

• 12

• 20

• 10

• 15

In a concert, tickets for adults cost $20 and tickets for children cost $10. If the total revenue from ticket sales is $500 and there are 30 tickets sold, formulate the equations and graph them to find the number of adult and child tickets sold.

• 25 adult tickets and 5 child tickets were sold.

• 15 adult tickets and 15 child tickets were sold.

• 10 adult tickets and 20 child tickets were sold.

• 20 adult tickets and 10 child tickets were sold.

A store sells two types of shirts: plain shirts for $15 each and graphic shirts for $25 each. If a customer spends $200 and buys a total of 10 shirts, write the equations and graph them to find out how many of each type of shirt the customer bought.

• 5 plain shirts and 5 graphic shirts

• 7 plain shirts and 3 graphic shirts

• 6 plain shirts and 4 graphic shirts

• 8 plain shirts and 2 graphic shirts

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Another company charges a flat fee of $30 plus $0.30 per mile. If a customer wants to know at what distance the costs will be the same, formulate the equations and graph them to find the distance.

• 150 miles

• 250 miles

• 200 miles

• 100 miles

A local gym offers two membership plans. Plan A costs $30 per month, while Plan B has a one-time fee of $100 and $20 per month. If a person wants to know after how many months the costs will be equal, create the equations and graph them to find the answer.

• 12 months

• 5 months

• 8 months

• 10 months

A bakery sells muffins for $2 each and cupcakes for $3 each. If they want to make at least $100 in sales and sell a total of 50 items, write the equations and graph them to determine how many muffins and cupcakes they need to sell.

• They need to sell 25 muffins and 25 cupcakes to meet the conditions.

• 20 muffins and 30 cupcakes

• 30 muffins and 20 cupcakes

• 40 muffins and 10 cupcakes

Two types of tickets are sold for a school play: adult tickets for $12 and student tickets for $8. If the total sales from 50 tickets is $480, formulate the equations and graph them to find out how many adult and student tickets were sold.

• 20 adult tickets and 30 student tickets were sold.

• 25 adult tickets and 25 student tickets were sold.

• 15 adult tickets and 35 student tickets were sold.

• 10 adult tickets and 40 student tickets were sold.

A charity event is selling two types of raffle tickets: $5 for a regular ticket and $10 for a premium ticket. If they want to raise $1,000 and sell a total of 200 tickets, create the equations and graph them to find the number of each type of ticket sold.

• 0 regular tickets and 200 premium tickets

• 100 regular tickets and 100 premium tickets

• 200 regular tickets and 0 premium tickets

• 150 regular tickets and 50 premium tickets