Write and Solve Two-Step Inequalities
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Objective
I can write, solve, and translate two-step inequalities from real-world situations.
Part 1 of 4
Warm-up video
Khan Academy · 2:01Vetted channel
We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
The phrase "at least 120,000 people" translates to a mathematical inequality using the greater than or equal to symbol.
- 2
The total audience from Las Vegas (l), Mesa (45,000), and Denver (33,000) combined must be greater than or equal to 120,000 people.
- 3
To solve the inequality l + 78,000 >= 120,000, you must subtract 78,000 from both sides, which shows that l >= 42,000.
Part 3 of 4
Practice
4 questions
A student needs to earn at least 75 points on a test to pass. They already have 30 points from a bonus question. Write an inequality to represent how many more points, p, the student needs to earn from the rest of the test.
Solve the following inequality for x: 3x - 10 < 23
Part 4 of 4
Exit ticket
Quick comprehension check
“A local charity is collecting canned goods. Their goal is to collect at least 300 cans. They have already collected 120 cans and plan to collect 15 cans per day for the next several days. Write an inequality to represent how many days (d) they need to collect cans to reach their goal. Then, solve the inequality to find the minimum number of days they need to collect cans.”
Sample answer included in the free materials
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