Algebra 2 – Chapter 5.6 – 6.2 Test
Version B
(98 total points)
Name:__________________
Date:_____________
Period:____________
Simplify; write your answer in complex number form a  bi
(2 points each)
1)
 64
1)________________
2)
 11
2)________________
3) 6   36
3)________________
4)
 21  7
4)________________
5)
9  9
5)________________
Solve by finding the square root
(3 points each)
6) x 2  81  0
6) x =_____________
7) 4 x 2  80
7) x =_____________
Find the Additive Inverse
(2 points each)
8) 15  22i
8)_______________
9)  13  6i
9)_______________
Find the Absolute Value
(3 points each)
10)  6  8i
10)_______________
11) 5  7i
11)_______________
Simplify each expression
(2 points each)
12) 10  5i    2  3i 
12)_______________
13) 9  5i   2  3i 
13)_______________
14) 2  5i 4  8i 
14)_______________
15) 5  7i 
15)_______________
2
16) 8i  4i 
16)_______________
Complete the Square
(2 points each)
17)
x 2  18 x  ______
18)
x 2  11x  ______
Solve by Completing the Square
(4 points each)
19) x 2  8 x  9  0
19) x =___________
20) x 2  5 x  1  0
20) x =___________
Solve using the Quadratic Formula
(3 points each)
21) x 2  8 x  12  0
21) x =____________
22) 2 x 2  6 x  7  0
22) x =____________
Evaluate the Discriminant. Tell how many solutions each equation has and whether the
solutions are real or imaginary.(3 points each)
23) x 2  8 x  20  0
23)_______________
24) 9 x 2  24 x  16  0
24)_______________
25) 2 x 2  5 x  2  0
25)_______________
Write each polynomial function in standard form. Then classify it by degree and by the
number of terms. (3 points each)
26) f ( x)  3x  x 6  2
26) f(x) = _______________
Degree:___________
Number of terms:_________
27) g ( x)  x 3  4  x 2  4 x 3
27) g(x) = _______________
Degree:___________
Number of terms:_________
28) h( x)  ( x 2  2 x)  (2 x 3  2 x)
28) h(x) = _______________
Degree:___________
Number of terms:_________
29) w( x)  ( x  3) 2 ( x  2)
29) w(x) = ______________
Degree:___________
Number of terms:_________
Write each polynomial in factored form. Then state the zeros of the polynomial.
(4 points each)
30) t ( x)  2 x 3  8 x 2  16 x
30) t(x) = _______________
Zeros; x =_______________
31) s( x)  x 4  2 x 3  8 x 2
31) s(x) = _______________
Zeros; x =_______________
32) Write p(x) as a polynomial function in factored form with the given zeroes at 3, 2, -3
(3 points each)
32) p(x) =_______________
Sketch each graph and label your zeros (4 points each)
33) y  ( x  3) 2 ( x  2)( x  4)
34) y   x( x  1)( x  5) 2
35) y  ( x  3) 3 ( x  4) 2