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