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GEOMETRY<br />

REVIEW<br />

The volume of<br />

clay equals the<br />

difference of the<br />

volumes of two<br />

cylinders.<br />

REVIEW<br />

TAKS Preparation<br />

p. 674;<br />

TAKS Workbook<br />

REVIEW<br />

TAKS Preparation<br />

p. 146;<br />

TAKS Workbook<br />

68. CHALLENGE In your pottery class, you are given a<br />

lump of clay with a volume of 200 cubic centimeters and<br />

are asked to make a cylindrical pencil holder. The pencil<br />

holder should be 9 centimeters high and have an inner<br />

radius of 3 centimeters. What thickness x should your<br />

pencil holder have if you want to use all of the clay?<br />

QUIZ for Lessons 4.5–4.7<br />

Solve the equation.<br />

3 cm<br />

x cm<br />

1. 4x 2 5 64 (p. 266) 2. 3(p 2 1) 2 5 15 (p. 266) 3. 16(m 1 5) 2 5 8 (p. 266)<br />

4. 22z 2 5 424 (p. 275) 5. s 2 1 12 5 9 (p. 275) 6. 7x 2 2 4 526 (p. 275)<br />

Write the expression as a complex number in standard form. (p. 275)<br />

7. (5 2 3i) 1 (22 1 5i) 8. (22 1 9i) 2 (7 1 8i) 9. 3i(7 2 9i)<br />

10. (8 2 3i)(26 2 10i) 11.<br />

4i<br />

} 26 2 11i<br />

3 cm x cm<br />

12.<br />

3 2 2i<br />

} 28 1 5i<br />

Write the quadratic function in vertex form. Then identify the vertex. (p. 284)<br />

x cm<br />

13. y 5 x 2 2 4x 1 9 14. y 5 x 2 1 14x 1 45 15. f(x) 5 x 2 2 10x 1 17<br />

16. g(x) 5 x 2 2 2x 2 7 17. y 5 x 2 1 x 1 1 18. y 5 x 2 1 9x 1 19<br />

x cm<br />

Top view Side view<br />

MIXED REVIEW FOR TAKS<br />

69. TAKS PRACTICE If quadrilateral MNPQ is<br />

reflected in the line y 5 3, in which quadrant will<br />

the image of point N appear? TAKS Obj. 7<br />

A Quadrant I B Quadrant II<br />

C Quadrant III D Quadrant IV<br />

9 cm<br />

70. TAKS PRACTICE A hose adds 120 gallons of water to a swimming pool<br />

in 1.5 hours. How many hours will it take for the hose to fill a different<br />

swimming pool that holds 600 gallons of water? TAKS Obj. 9<br />

F 5h G 6.25 h H 7.5 h J 8h<br />

19. FALLING OBJECT A student drops a ball from a school roof 45 feet above<br />

ground. How long is the ball in the air? (p. 266)<br />

EXTRA PRACTICE for Lesson 4.7, p. 1013<br />

TAKS PRACTICE at classzone.com<br />

y<br />

ΠP<br />

M N<br />

1<br />

24232221 1 2 3 4 x<br />

ONLINE QUIZ at classzone.com<br />

291

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