Writing Multi-Step Inequalities

Bartle Doo wants to make party grab bags for a total cost of less than $75. If the cost of each bag will be $3, how many bags can he make?

A box contains 600 crayons. At least two-thirds of the crayons are red. The rest are blue. How many crayons are blue?

• at least 200 crayons

• no more than 200 crayons

• at least 400 crayons

• no more than 400 crayons

The local carnival charges $10 admission and $1.25 per ride. Choose the inequality that represents the number of rides you can go on with $50.

You have $18.50 to spend on pizza. It costs $14 plus $0.75 for each additional topping. Tell how many toppings the pizza can have.

Mathematical Equivalence

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Bobo has 40-pound bags of gravel in his truck that weigh a total of 3,600 pounds. The truck's capacity is at most 3,000 pounds. How many bags does Bobo have to remove in order to meet the truck's capacity?

Mathematical Equivalence

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The University drama club is performing a play to benefit a local philanthropy. Tickets are $5 each. They also received donations of $565. They want to raise at least $1,500. Write an inequality that represents this scenario.

Jablonski has $6 to spend. A dessert costs $3.25 plus $0.65 per topping. Write an inequality to model this situation.

There are more than 250,000 species of beetles. A science museum has a collection representing 320 of these species. Write an inequality to model this scenario.

Suppose you rent a Segway for either $35 a day plus $0.40 per mile driven or for $20 a day plus $0.55 per mile driven. After how many miles driven will the cost for each pricing model be equivalent?

Hint: Write an equation to solve the problem.

Mathematical Equivalence

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