Algebra 2 – Chapter 5.6 – 6.2 Test
Version A
(98 total points)
Name:__________________
Date:_____________
Period:____________
Simplify; write your answer in complex number form a  bi
(2 points each)
1)  81
1)________________
 13
2)________________
3) 8   49
3)________________
2)
4)
 20  13
4)________________
5)
16   16
5)________________
Solve by finding the square root
(3 points each)
6) x 2  100  0
6) x =_____________
7) 3x 2  60  0
7) x =_____________
Find the Additive Inverse
(2 points each)
8) 23  16i
8)_______________
9)  33  25i
9)_______________
Find the Absolute Value
(3 points each)
10)  3  4i
10)_______________
11) 7  10i
11)_______________
Simplify each expression
(2 points each)
12) 14  6i    1  5i 
12)_______________
13) 2  9i   5  4i 
13)_______________
14) 4  2i 6  7i 
14)_______________
15) 10  3i 
15)_______________
16) 7i  9i 
16)_______________
2
Complete the Square
(2 points each)
17)
x 2  34 x  ______
18)
x 2  9 x  ______
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  6 x  40  0
21) x =____________
22) 2 x 2  6 x  3  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  10 x  8  0
23)_______________
24) 3x 2  x  7  0
24)_______________
25) 4 x 2  12 x  9  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)  x  x 5  3
26) f(x) = _______________
Degree:___________
Number of terms:_________
27) g ( x)  x 2  5  x 3  3x 2
27) g(x) = _______________
Degree:___________
Number of terms:_________
28) h( x)  ( x 3  x)  (3x 2  x)
28) h(x) = _______________
Degree:___________
Number of terms:_________
29) w( x)  ( x  2) 2 ( x  3)
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)  3x 3  15x 2  18x
30) t(x) = _______________
Zeros; x =_______________
31) s( x)  x 4  2 x 3  15 x 2
31) s(x) = _______________
Zeros; x =_______________
32) Write p(x) as a polynomial function in factored form with the given zeroes at 2, -4, -2
(3 points each)
32) p(x) = _______________
Sketch each graph and label your zeros (4 points each)
33) y  ( x  2) 2 ( x  1)( x  5)
34) y   x( x  1)( x  5) 2
35) y  ( x  5) 3 ( x  4) 2