Foundations of Math 3 Unit 5 Worksheet 5

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Solve and check for extraneous solutions. 3

3

3

1. 343 = 𝑥 2

2. 4𝑥 2 = 2048

3. 32 = 8 + 3(2𝑥 + 42)2

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2

1

5

4. 3𝑥 3 − 7 = 5

5.

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7. √𝑥 = 3

8.

2

𝑥 7 + 13 = 29

√𝑥 − 9 = 12

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10. 𝑥 − 5 = √3𝑥 − 17

11. 𝑥 = √42 − 𝑥

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4

6. (2𝑥)3 = 256

______________ 9. √3𝑥 + 12 = 6

______________ 12. √7 − 𝑥 + 4 = √3𝑥 + 7

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3

13. √4𝑥 + 4 = −2 − √2𝑥 − 2

14. √2𝑥 + 3 = −2

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4

6

16. √𝑥 + 6 = 1

17. −7 √𝑥 + 4 = 7

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15. 5 3√3𝑥 − 1 + 4 = −11

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18. 3 √𝑥 + 7 = 5

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II. Solve each inequality. 19. 2√𝑥 − 5 ≥ 3

20. √𝑥 − 4 ≤ 5

21. 2√−(𝑥 − 4) − 6 ≤ 0

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22. −√𝑥 + 2 > −4

23. −√𝑥 − 3 + 6 < 2

24. √1 − 2𝑥 > −10

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