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