Name: 
 

Chapter 8 Practice Test



 1. 

Alg2_8_1_Ex2     OR     Alg2_8_1_Ex2
If y varies directly with x, and the y=15 when x=24, find x when y= 25.
a.
mc001-1.jpg
c.
mc001-3.jpg
b.
mc001-2.jpg
d.
mc001-4.jpg
 

 2. 

Alg2_8_2_Ex2     OR     Alg2_8_2_Ex2
If y is inversely proportional to x, and y=6 when x=5, find x when y=12.
a.
30
c.
mc002-1.jpg
b.
2.5
d.
mc002-2.jpg
 

 3. 

Alg2_8_2_Ex3     OR     Alg2_8_2_Ex3
If z varies jointly as x and the square root of y, and z=6 when x=3 and y=16, find z when x=7 and y=4.
a.
2
c.
14
b.
0.5
d.
7
 

 4. 

Alg2_8_2_Ex4     OR     Alg2_8_2_Ex4
The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. One hundred meters of wire with a diamter of 6 mm has a resistance of 12 ohms. Eighty meters of a second wire of the same material has a resistance of 15 ohms. Find the diameter of the second wire.
a.
345.6
c.
23.04
b.
4.8
d.
4.32
 

 5. 

Alg2_8_3_Ex2     OR     Alg2_8_3_Ex2
Divide mc005-1.jpg by mc005-2.jpg
a.
mc005-3.jpg
c.
mc005-5.jpg
b.
mc005-4.jpg
d.
mc005-6.jpg
 

 6. 

Alg2_8_4_Ex0     OR     Alg2_8_4_Ex0
Use Synthetic Divsion to divide mc006-1.jpg by mc006-2.jpg
a.
mc006-3.jpg
c.
mc006-5.jpg Remainder 34
b.
mc006-4.jpg
d.
mc006-6.jpg Remainder 54
 

 7. 

Alg2_8_4_Ex2     OR     Alg2_8_4_Ex2
Use Synthetic Division to divide mc007-1.jpg by mc007-2.jpg
a.
mc007-3.jpg
c.
mc007-5.jpg
b.
mc007-4.jpg
d.
mc007-6.jpg Remainder 5
 

 8. 

a.
0
c.
6
b.
36
d.
-6
 

 9. 

Alg2_8_5_Ex4     OR     Alg2_8_6_Ex4
Solve mc009-1.jpg, if mc009-2.jpg is a root for the other two roots.
a.
mc009-3.jpg and mc009-4.jpg
c.
mc009-7.jpg and mc009-8.jpg
b.
mc009-5.jpg and mc009-6.jpg
d.
mc009-9.jpg and mc009-10.jpg
 

 10. 

Alg2_8_6_Ex1     OR     Alg2_8_6_Ex1
Find the cubic equation with the integer coefficients that has 2 and mc010-1.jpg as roots.
a.
mc010-2.jpg
c.
mc010-4.jpg
b.
mc010-3.jpg
d.
mc010-5.jpg
 

 11. 

Alg2_8_6_Ex1     OR     Alg2_8_6_Ex1
Find the remaining root of a cubic polynomial if 5 and mc011-1.jpg are two of the roots.
a.
mc011-2.jpg
c.
mc011-4.jpg
b.
mc011-3.jpg
d.
5
 

 12. 

Alg2_8_6_Conjugate Root Theorem     OR     Alg2_8_6_Conjugate Root Theorem
Find the remaining root of a cubic polynomial if mc012-1.jpg and mc012-2.jpg are two of the roots
a.
7
c.
mc012-3.jpg
b.
0
d.
mc012-4.jpg
 

 13. 

Alg2_8_7     OR     Alg2_8_7
How many roots does the following equation have?
mc013-1.jpg
a.
9
c.
5
b.
4
d.
10
 

 14. 

Alg2_8_6_Ex3     OR     Alg2_8_6_Ex3
Use Descartes Rule of Signs to determine how many Positive Real Roots the following Polynomial has.
mc014-1.jpg
a.
1
c.
2 or 0
b.
3 or 1
d.
5, 3, or 1
 

 15. 

Alg2_8_6_Ex3     OR     Alg2_8_6_Ex3
Use Descartes Rule of Signs to determine how many Negative Real Roots the following Polynomial has.
mc015-1.jpg
a.
1
c.
2 or 0
b.
3 or 1
d.
0
 

 16. 

Alg2_8_6_Decartes Rule of Signs     OR     Alg2_8_6_Decartes Rule of Signs
Use Descartes Rule of Signs to determine how many Complex Roots the following Polynomial has.
mc016-1.jpg
a.
0
c.
0, or 2, or 4
b.
0 or 2
d.
3 or 1
 

 17. 

Alg2_8_7_Ex1     OR     Alg2_8_7_Ex1
List all of the possible rational roots of the polynomial:
mc017-1.jpg
a.
mc017-2.jpg
c.
mc017-5.jpg
b.
mc017-3.jpg,mc017-4.jpg     
d.
mc017-6.jpg
 

 18. 

Alg2_8_7_Ex1     OR     Alg2_8_7_Ex1
List all of the actual rational roots of the polynomial:
mc018-1.jpg
a.
mc018-2.jpg
c.
mc018-4.jpg
b.
mc018-3.jpg
d.
mc018-5.jpg
 

 19. 

Alg2_8_5_Ex1     OR     Alg2_8_5_Ex1
Use synthetic division to find the value of P(2) for the polynomial: mc019-1.jpg
a.
mc019-2.jpg
c.
mc019-4.jpg
b.
mc019-3.jpg
d.
mc019-5.jpg
 

 20. 

Alg2_8_5_pg.375 #1-8
Use synthetic division to find the value of P(4) for the polynomial: mc020-1.jpg
a.
mc020-2.jpg
c.
mc020-4.jpg
b.
mc020-3.jpg
d.
mc020-5.jpg
 



 
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