TEST 8: Radicals, radical equations, and
complex numbers
MQ5 home Quiz 7
Test 9
MQ5 TEST 8A (answers below) Mr. Gary Jaye
INSTRUCTIONS: 1. TWO-Sided test paper.
2. Express all answers in simplest form and SHOW ALL WORK.
In 1 to 3, solve over the set of real numbers. [2 each]
1.  |
2.  |
3.  |
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| 4. Solve over C: x2 + 7 =
0 [3]
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5. DO NOT SIMPLIFY. Just write an equivalent expression
without negative exponents: [3]  |
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In 6 to 15, simplify the expression. [4 each]
6.  |
7.  |
8.  |
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9.  |
10.  |
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11.  |
12.  |
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13.  |
14.  |
15. 
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In 16 to 19, simplify the expression. [6 each]
16.  |
17. Express  as a single
fraction in simplest form. |
18.  |
19.  |
20. Solve over R , check (in the space provided), and express
solution as a set: 
[14] |
CHECK |
21. Solve, graph, and express solution as a set:  [6] |
|
ANSWERS: 1. Æ 2. Æ 3. -69 4. ±iÖ7
5. 1/(xm + 1/yn)p 6. i
7. i 8. -i 9. -13Ö6 10. -2(3Ö3) 11. -i
12. x + 5 + 6Ö(x - 4) 13. 3(Ö5)/5 14. (5Öx3)/x 15. 3Ö4
16. 7x3 · 3Ö(6y2) 17.
(55Ö7 - 7Ö22)/77
18. 30 - 5Ö21 + 18Ö14 - 21Ö6 19. (Ö3 - 1)/2 20. reject 3 \ {5}
21. {x: x < -9 OR x > -4}