Problem Solving with Simple Inequalities

Solving Real-World Problems

with Inequalities

Tuesday, September 10, 2024

DO NOW!
(Stand Up, Hand up, Pair Up)

You want to buy new sneakers for $150.

You’ve saved $50 already and plan to make
money by washing cars. You charge $10 per
car.

How many cars do you need to wash to afford the sneakers?”

How can you write as an inequality?

OBJECTIVE

I will solve word problems leading to
inequalities, graph the solution set, and interpret it in the context of a real-world solution

Open Ended

What is the topic of today's lesson??

VOCABULARY

Inequality

Rational
Numbers

Greater
Than (>)

Less

Than (<)

Greater
Than or
Equal To

(≥)

Less

Than or
Equal To

(≤)

Multiple Choice

Which one of these is NOT one of our vocabulary words for today?

• Inequality

• Coefficient

• Rational Numbers

• Less than

Multiple Choice

Justin is trying to save $475.63 to buy a new cell phone.

He already has $125 and will save $27 a week by walking dogs.

Choose the inequality that represents the situation.

• 
  $$27x-125>475.63$$

• $$27x+125<475.63$$

• $$27x-125<475.63$$

• $$27x+125>475.63$$

Open Ended

Tyler started his own babysitting business: Ty Cares. He charges a fee of $20 per hour for one child, and an added flat fee of $30 for each additional child.

He wants to make at least $250 this week babysitting for a family of three. His sister told him that he will need to work at least 12 hours to make $250 this week, but Tyler disagrees.

To determine whether or not Tyler’s sister is correct, find the minimum number of hours Tyler must work.

Today's Assignments

• Complete Delta Math Assignment

• Complete IXL Recommended