Exploring Everyday Inequalities: Graphing & Solving Skills

A local gym charges a monthly fee of $30 plus $5 for each class attended. If you want to spend no more than $100 in a month, how many classes can you attend? Solve the inequality and graph it.

• 16

• 10

• 12

• 14

A school is planning a field trip and needs to collect at least $500 to cover costs. If each student contributes $15, how many students need to participate? Write and solve the inequality, then graph the solution.

• 30

• 40

• 25

• 34

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you want to keep your total cost under $100, how many miles can you drive? Set up the inequality, solve it, and graph the result.

• 249 miles

• 150 miles

• 300 miles

• 200 miles

A bookstore is having a sale where you can buy books for $8 each. If you have $50 to spend, how many books can you buy? Write the inequality, solve it, and represent it on a graph.

• 5

• 7

• 6

• 8

A concert venue has a maximum capacity of 200 people. If 75 tickets have already been sold, how many more tickets can be sold? Create an inequality to represent this situation, solve it, and graph the solution.

• 150

• 100

• 200

• 125

A farmer has 120 acres of land and wants to plant corn and soybeans. If he plants corn on at least 40 acres, how many acres can he plant soybeans on? Write the inequality, solve it, and graph the solution.

• The farmer can plant soybeans on at most 80 acres.

• The farmer can plant soybeans on at most 100 acres.

• The farmer can plant soybeans on at most 60 acres.

• The farmer can plant soybeans on at most 40 acres.

A student has a budget of $60 for school supplies. If notebooks cost $3 each and pens cost $2 each, how many notebooks and pens can the student buy? Set up the inequality, solve it, and graph the possible combinations.

• (5, 25)

• (15, 15)

• The student can buy combinations of notebooks and pens such as (0, 30), (1, 28), (2, 26), ..., (20, 0) within the budget.

• (10, 20)

A factory produces widgets and has a goal to produce at least 500 widgets per day. If they currently produce 350 widgets, how many more do they need to produce? Write the inequality, solve it, and graph the solution.

• 150

• 250

• 200

• 100

A pizza shop sells large pizzas for $12 each. If you want to spend no more than $60 on pizzas for a party, how many pizzas can you buy? Create the inequality, solve it, and graph the result.

• 6

• 5

• 4

• 3

A charity event aims to raise at least $1,000. If each ticket sold is $25, how many tickets need to be sold? Write the inequality, solve it, and graph the solution.

• At least 20 tickets need to be sold.

• At least 50 tickets need to be sold.

• At least 30 tickets need to be sold.

• At least 40 tickets need to be sold.