ࡱ>  I!bjbj_W_W ~====Ippppp$t """""",SxNpNppc pp  #)IN y0p NN 6:   Algebra 2 6.1,6.2,6.3,6.6 Review True/False Indicate whether the statement is true or false. ____ 1. The radical  can be written in rational form as 45. Multiple Choice Identify the choice that best completes the statement or answers the question. Simplify the radical expression. Use absolute value symbols if needed. ____ 2.  a.b.c.d. ____ 3.  a.b.c.d. ____ 4.  a.b.c.d. Multiply and simplify if possible. ____ 5.  a.b.c.d.not possible ____ 6.  a.3b.3c.d.not possible ____ 7. Simplify . Assume that all variables are positive. a.c.b.d.none of these ____ 8. Simplify . Assume that all variables are positive. a.c.b.d.none of these Divide and simplify. Assume that all variables are positive. ____ 9.  a.b.c.d. ____ 10.  a.c.b.d.none of these Add if possible. ____ 11.  a.c.b.d.not possible to simplify ____ 12.  a.c.b.d.not possible to simplify Subtract if possible. ____ 13.  a.c.b.d.not possible to simplify ____ 14.  a.c.b.d.not possible to simplify Solve the equation. ____ 15.  a.14b.8c.4d.6 ____ 16. 3 a.83b.11c.27d.64 ____ 17.  a.25b.14c.34d.16 ____ 18.  a.11b.15; 1c.3d.1; 1 ____ 19.  a.2b.14; 14c.10d.2; 14 Solve. Check for extraneous solutions. ____ 20.  a.b.c. and d. ____ 21.  a.b.c.d. ____ 22. Let  and . Find f(x) + g(x). a.2x 4b.8x 8c.8x 4d.2x 8 ____ 23. Let  and . Find f(x) + g(x). a.10x + 12b.10x 2c.2x + 12d.2x 2 ____ 24. If f(x) = 2x + 3 and g(x) = 4x. Find f(g(2)). a.6x + 3c.8x + 3b.16x + 3d.4x + 3 Algebra 2 6.1,6.2,6.3,6.6 Review Answer Section MULTIPLE CHOICE 1. ANS: F PTS: 1 2. ANS: C PTS: 1 DIF: L2 REF: 7-1 Roots and Radical Expressions OBJ: 7-1.1 Roots and Radical Expressions STA: MS AII 6b TOP: 7-1 Example 3 KEY: simplifying a radical expression 4. ANS: B PTS: 1 DIF: L3 REF: 7-1 Roots and Radical Expressions OBJ: 7-1.1 Roots and Radical Expressions STA: MS AII 6b TOP: 7-1 Example 3 KEY: simplifying a radical expression 3. ANS: A PTS: 1 DIF: L3 REF: 7-1 Roots and Radical Expressions OBJ: 7-1.1 Roots and Radical Expressions STA: MS AII 6b TOP: 7-1 Example 3 KEY: simplifying a radical expression 5. ANS: A PTS: 1 DIF: L2 REF: 7-2 Multiplying and Dividing Radical Expressions OBJ: 7-2.1 Multiplying Radical Expressions STA: MS AII 6b TOP: 7-2 Example 1 KEY: multiplying radical expressions | simplifying a radical expression 6. ANS: D PTS: 1 DIF: L2 REF: 7-2 Multiplying and Dividing Radical Expressions OBJ: 7-2.1 Multiplying Radical Expressions STA: MS AII 6b TOP: 7-2 Example 1 KEY: multiplying radical expressions | simplifying a radical expression 8. ANS: A PTS: 1 DIF: L2 REF: 7-2 Multiplying and Dividing Radical Expressions OBJ: 7-2.1 Multiplying Radical Expressions STA: MS AII 6b TOP: 7-2 Example 2 KEY: multiplying radical expressions | simplifying a radical expression 7. ANS: A PTS: 1 DIF: L2 REF: 7-2 Multiplying and Dividing Radical Expressions OBJ: 7-2.1 Multiplying Radical Expressions STA: MS AII 6b TOP: 7-2 Example 2 KEY: multiplying radical expressions | simplifying a radical expression 9. ANS: B PTS: 1 DIF: L2 REF: 7-2 Multiplying and Dividing Radical Expressions OBJ: 7-2.2 Dividing Radical Expressions STA: MS AII 6b TOP: 7-2 Example 4 KEY: simplifying a radical expression | divide radical expressions | rationalize the denominator 10. ANS: A PTS: 1 DIF: L2 REF: 7-2 Multiplying and Dividing Radical Expressions OBJ: 7-2.2 Dividing Radical Expressions STA: MS AII 6b TOP: 7-2 Example 4 KEY: simplifying a radical expression | divide radical expressions | rationalize the denominator 11. ANS: C PTS: 1 DIF: L2 REF: 7-3 Binomial Radical Expressions OBJ: 7-3.1 Adding and Subtracting Radical Expressions STA: MS AII 6b TOP: 7-3 Example 1 KEY: binomial radical expressions | adding radical expressions | like radicals 12. ANS: D PTS: 1 DIF: L2 REF: 7-3 Binomial Radical Expressions OBJ: 7-3.1 Adding and Subtracting Radical Expressions STA: MS AII 6b TOP: 7-3 Example 1 KEY: binomial radical expressions | adding radical expressions | like radicals 14. ANS: C PTS: 1 DIF: L2 REF: 7-3 Binomial Radical Expressions OBJ: 7-3.1 Adding and Subtracting Radical Expressions STA: MS AII 6b TOP: 7-3 Example 1 KEY: binomial radical expressions | adding radical expressions | like radicals 13. ANS: C PTS: 1 DIF: L2 REF: 7-3 Binomial Radical Expressions OBJ: 7-3.1 Adding and Subtracting Radical Expressions STA: MS AII 6b TOP: 7-3 Example 1 KEY: binomial radical expressions | adding radical expressions | like radicals 16. ANS: A PTS: 1 DIF: L2 REF: 7-5 Solving Radical Equations OBJ: 7-5.1 Solving Radical Equations STA: MS AII 6c TOP: 7-5 Example 1 KEY: radical equation | 15. ANS: D PTS: 1 DIF: L2 REF: 7-5 Solving Radical Equations OBJ: 7-5.1 Solving Radical Equations STA: MS AII 6c TOP: 7-5 Example 1 KEY: radical equation | 17. ANS: C PTS: 1 DIF: L2 REF: 7-5 Solving Radical Equations OBJ: 7-5.1 Solving Radical Equations STA: MS AII 6c TOP: 7-5 Example 1 KEY: radical equation | 18. ANS: B PTS: 1 DIF: L2 REF: 7-5 Solving Radical Equations OBJ: 7-5.1 Solving Radical Equations STA: MS AII 6c TOP: 7-5 Example 2 KEY: radical equation | rational exponent 19. ANS: D PTS: 1 DIF: L2 REF: 7-5 Solving Radical Equations OBJ: 7-5.1 Solving Radical Equations STA: MS AII 6c TOP: 7-5 Example 2 KEY: radical equation | rational exponent 20. ANS: D PTS: 1 DIF: L2 REF: 7-5 Solving Radical Equations OBJ: 7-5.1 Solving Radical Equations STA: MS AII 6c TOP: 7-5 Example 4 KEY: radical equation | extraneous solutions 21. ANS: A PTS: 1 DIF: L2 REF: 7-5 Solving Radical Equations OBJ: 7-5.1 Solving Radical Equations STA: MS AII 6c TOP: 7-5 Example 5 KEY: extraneous solutions | radical equation | rational exponent 23. ANS: D PTS: 1 DIF: L2 REF: 7-6 Function Operations OBJ: 7-6.1 Operations with Functions STA: MS AII 4d TOP: 7-6 Example 1 KEY: addition and subtraction of functions | operations with functions 22. ANS: A PTS: 1 DIF: L2 REF: 7-6 Function Operations OBJ: 7-6.1 Operations with Functions STA: MS AII 4d TOP: 7-6 Example 1 KEY: addition and subtraction of functions | operations with functions 24. 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