Lesson 8.2: Write 2-step inequalities

GRADE 7 Module 8 Lesson 2.
Write Two-Step Inequalities for Situations

Open Ended

A worker wants to save enough money to buy new headphones, which cost $119. He makes $7 per hour at his job. He wants to figure out the least number of hours he can work to have enough money to buy the headphones. Write an inequality and solve.

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I Can.

I Can write two-step inequalities for

real-world scenarios and determine

whether given values are solutions.

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Spark Your Learning.

A small business owner is planning to upgrade the computer system. A new system will

cost $1,200, but the total cost can be more with installation. The owner has saved $300

and will continue to save $30 from profits each day for the new system. How many days

will it take the business owner to save enough money to purchase the new computer

system?

Select the inequality that represents this situation. Describe what each part of the

inequality represents.

300 + 30x ≥ 1,200

300 + 30x ≤ 1,200

300 + 30x < 1,200

300 + 30x > 1,200

Math Response

Caitlyn wants to buy sheets of trumpet music at the price shown. She has only $25, and she first needs to pay back $5 to her friend. How many sheets can Caitlyn buy?

Type answer here

Correct Answer: 6

Deg^°

Rad

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Step It Out • Task 2 ACTIVITY..

Kyle is renting a boat with his family at a lake. The rental company

initially charges $50 for the boat plus the hourly fee shown. The family

plans to spend no more than $250 on the boat rental.

A.

Describe how this problem represents an inequality situation.

B.

What are the values in the problem that cannot change?

C.

What value in the problem can vary? How can this be

represented?

D.

Write an inequality for how many hours the family can rent the

boat.

Twenty five dollars per hour.

Math Response

A manager wants to buy headsets for the customer service team members to use. The headsets cost $12 each. The budget allows $155 to be used for customer service equipment, but the manager wants to save more than $20 for later in case it is needed for something else. How many headsets can the manager buy?

Type answer here

Correct Answer: 11

Deg^°

Rad

Open Ended

Ms. Alomry drives to school every day. Today she has 5 gallons of gas in her car. The fuel warning light comes on if the amount of gas in the tank drops below 2 gallons. She uses about 1/2 gallon of gas per round trip. How many round trips can Ms. Alomry take before her warning light turns on? Write and solve an inequality for the number of trips (t) she can take.

Open Ended

Pedro’s parents agreed to let him get a dog as long as he pays for it. The animal shelter requires a $110 rehoming fee. Pedro has $30 saved. He earns $17 per day from his part-time job. Write an inequality to determine the minimum number of days he will have to work to save enough for the new dog.