Solving Multi-Step Inequalities Practice

1. B
2. A
3. D
4. C
5. A
6. D
7. B
9. B
9. D
10. C

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5 answers

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Solving Multi-Step Inequalities Quiz 1

1. C
2. 17
3. 7
4. 4
5. -2
6. C
7. D
8. D
9. B
10. 40

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Solving Multi-Step Inequalities Quiz 2

"A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve."
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Solving for x:

15x >(with an underline) 200

Isolate x by dividing.

x >(with an underline) 200 / 15

x >(with an underline) 40/3

The minimum hours: $200, 14 hours.

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Write in your own words. ❤️
To solve the problem, we first need to write an inequality to represent the situation. Since the painter earns $15 per hour and wants to earn at least $200, we can write the inequality as 15x ≥ 200, where x represents the number of hours he must work.

To solve the inequality, we isolate x by dividing both sides by 15. This gives us x ≥ 200/15, which simplifies to x ≥ 40/3. This means that the painter must work at least 40/3 hours, or 13 hours and 20 minutes, to earn at least $200.