Regents Exam Questions Name: ________________________ A.REI.B.4: Solving Quadratics 7www.jmap.org

1

A.REI.B.4: Solving Quadratics 7

1 Max solves a quadratic equation by completing the square. He shows a correct step:

(x � 2)2 �9What are the solutions to his equation?1) 2 r 3i2) �2 r 3i3) 3 r 2i4) �3 r 2i

2 The roots of the equation x2 � 4x � 9 0 are1) 2 r i 52) 2 r 53) 2 r i 134) 2 r 13

3 The solutions to the equation �12 x 2 �6x � 20 are

1) �6 r 2i2) �6 r 2 193) 6 r 2i4) 6 r 2 19

4 Solve for x in simplest a � bi form: x2 � 8x � 25 0

5 In physics class, Taras discovers that the behavior of electrical power, x, in a particular circuit can be represented by the function f(x) x 2 � 2x � 7. If f(x) 0, solve the equation and express your answer in simplest a � bi form.

6 Solve the equation x 2 6x � 12 and express the roots in simplest a � bi form.

7 Express, in simplest a � bi form, the roots of the equation x2 � 5 4x .

8 Find the roots of the equation x2 � 7 2x and express your answer in simplest a � bi form.

9 Solve the equation x 2 � 4x �13 and express the roots in the form a � bi.

10 Express the roots of the equation x 2 2x � 5 in a � bi form.

11 Solve the equation x 2 4x � 20 and express your answers in the form a � bi.

12 Solve the equation x 2 � 4x �10 and express the roots in terms of i.