Practice Rules To Remember (2.1) - Linear Inequalities - IB 10 Mathematics

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10 questions

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6 sample questions

Question 1.
Solve and graph: 2x - 5 > 1
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Isolate x by adding 5 to both sides.
Question 2.
Graph: y < 3
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Consider where y is less than 3.
3Question 3.
What happens to the inequality sign when multiplying by a negative number?
- True
- False
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Remember the rules of transformations in inequalities.
4Question 4.
Which inequality uses a dashed line when graphed?
- x ≥ 5
- x < 5
- x ≤ 5
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Think about open versus closed intervals.
Question 5.
Create and solve a linear inequality based on a real-world scenario involving time management. For example, if a student has 5 hours of study time per week and each homework assignment takes 1 hour, what is the maximum number of assignments they can complete?
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Translate the scenario into an inequality where your variable represents the constraint.
Question 6.
Graph the system of inequalities: x + y ≥ 9 and x - y < 3. Describe the solution region.
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Remember to shade the correct areas based on testing points for each inequality.

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