Algebra 2 Companion Book, Volume 2

8.2.3 Solving Radical Equations and Inequalities - Worksheet (continued)

Example 4: Solve each equation. 16. x ( 5) 3 1 2 − =

1 3 + =

1 2 + =

17. x (2 1)

18. x

x

2

(4 5)

1 3 − = −

1 2 + =

x x (45 9 ) 5 1 2 − = −

19. x 2( 50)

20. x 2( 1)

21.

10

1

Example 5: Solve each inequality. 22. x 5 1 4 + − ≤

23. x 2 6 10 + ≤

24. x 2 5 5 + <

Example 6: 25.  The formula s

d 21 = relates a stunt car’s speed s in miles per hour at the beginning of a skid to the length d of the skid in feet. A stunt driver must skid her car to a stop just in front of a wall. When the driver starts her skid, she is traveling at 64 mi/h. When the driver comes to a stop, how many feet will be between her car and the wall? Round to the nearest foot.

200 ft

skid

227

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