Creating /solving two-step inequalities & equations (real-world)

Hannah buys a notebook for $6.50 and x pens for $2.25 each. She spends less than $20.00 in all. Select all of the numbers of pens, x, Hannah could have bought.

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Tags

CCSS.7.EE.B.4B

Sawyer is participating in a fundraiser by swimming laps. He has raised $120 and will raise an additional $8 for each lap he swims. His goal is to raise $200.

How many laps does Sawyer need to swim to reach his goal of $200?

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Tags

CCSS.7.EE.B.4A

A company plans to rent an ice skating rink for an event. The rink charges an initial fee of $50.00 plus $35.00 per hour for ice skating. The company wants to spend less than $250. What inequality represents the number of hours, h, the company can rent the ice skating rink for?

• 50 + 35h ≤ 250

• 50 + 35h < 250

• 50 + 35h > 250

• 50 + 35h ≥ 250

Tags

CCSS.7.EE.B.4B

Lars, Fredrick, and Molly collect 50 rocks for a school project. Lars collects 16 rocks. Fredrick and Molly each collect the same number of rocks. What equation represents the number of rocks Fredrick and Molly each collect, r?

• 16 + 2r = 50

• 16 + r = 50

• 16 - 2r = 50

• 16 - r = 50

Tags

CCSS.HSA.CED.A.3

Olivia earns $15 per hour, plus a $5 commission for each magazine subscription she sells. Her goal is to make more than $75 in one hour. What is the least number of magazine subscriptions she can sell in one hour to reach her goal?

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Tags

CCSS.7.EE.B.4B

Paul spends $100 on supplies to make T-shirts. He sells each T-shirt for $12. Which inequality can Paul use to determine how many T-shirts, t , he needs to sell in order to make a profit of at least $210 so he can buy tickets to attend the Kendrick Lamar and SZA concert this summer?

• 12t - 100 ≥ 210

• 12t + 100 ≤ 210

• 100 + 2t ≥ 210

• 12t - 100 < 210

Tags

CCSS.7.EE.B.4B

A truck weighs 35,000 pounds before being loaded with 20 barrels of road salt. Each barrel contains w pounds of road salt. The truck’s total weight, including the barrels of road salt, is 80,000 pounds. Create an equation that can be used to find the weight in each barrel.

• 35,000 + 20w =80,000

• 35,000 - 20w =80,000

• 35,000w - 20 = 80,000

• 35,000w + 20 = 80,000

Bill earns $50 per day plus $10 in commission for each sale, s. He wants to earn at least $200 on Monday. Which inequality models this situation?

• 10s + 50 ≥ 200

• 10s + 50 ≤ 200

• 10s + 50 = 200

• 10s + 50 < 200

Tags

CCSS.7.EE.B.4B

Nick's band earns $250 for every show it performs. The band has earned $1500 so far this summer. Create an equation that shows how many shows, s, the band needs to perform to have earned $2000 this summer.

• 250s + 1500 = 2000

• 250 + 1500s = 2000

• 1500 - 250s = 2000

• 1500s - 250 = 2000

Tags

CCSS.HSA.CED.A.3

Adam sells blenders at a department store. He earns $72 per day plus $12 for each blender he sells. He wants to earn more than $250 in one day. What is the least number of blenders Adam needs to sell to reach his goal?

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