Algebra and Trigonometry, 5th Edition

3 Chapter Test

Solve. Find exact solutions.

1. 1. $(2x-1)(x+5)=0$

2. 2. $6x^2-36=0$

3. 3. $x^2+4=0$

4. 4. $x^2-2x-3=0$

5. 5. $x^2-5x+3=0$

6. 6. $2t^2-3t+4=0$

7. 7. $x+5\sqrt{x}-36=0$

8. 8. $\frac{3}{3x+4}+\frac{2}{x-1}=2$

9. 9. $\sqrt{x+4}-2=1$

10. 10. $\sqrt{x+4}-\sqrt{x-4}=2$

11. 11. $|x+4|=7$

12. 12. $|4y-3|=5$

Solve and write interval notation for the solution set. Then graph the solution set.

1. 13. $|x+3|\le 4$

2. 14. $|2x-1|<5$

3. 15. $|x+5|>2$

4. 16. $|3-2x|\ge 7$

5. 17. Solve $\frac{1}{A}+\frac{1}{B}=\frac{1}{C}$ for B.

6. 18. Solve $R=\sqrt{3np}$ for n.

7. 19. Solve $x^2+4x=1$ by completing the square. Find the exact solutions. Show your work.

8. 20. The tallest structure in the United States, at 2063 ft, is the KTHI-TV tower in Blanchard, North Dakota (Source: The Cambridge Fact Finder). How long would it take an object falling freely from the top to reach the ground? (Use the formula $s=16t^2$, where ...