Download Chapter 6 - Test #11 Practice

Algebra 2-2
Name ______________________________
Chapter 6 - Test #13 Practice 2011
Hour ______
Assign # __________
Multiple Choice. Identify the choice that best completes the statement or answers the question.
Solve the equation by factoring.
____
1.
a.
b.
____
c.
d.
Write a quadratic equation with the given roots. Write the equation in the form
b, and c are integers.
5
2.  and 8
4
a.
b.
, where a,
c.
d.
Find the exact solution of the following quadratic equation by using the Quadratic Formula.
____
3.
a.
c.
b.
d.
Find the value of the discriminant. Then describe the number and type of roots for the equation.
____
4.
a. The discriminant is 196. Because the discriminant is greater than 0 and is a perfect square,
the two roots are real and rational.
b. The discriminant is –204. Because the discriminant is less than 0, the two roots are
complex.
c. The discriminant is 204. Because the discriminant is greater than 0 and is not a perfect
square, the two roots are real and irrational.
d. The discriminant is –188. Because the discriminant is less than 0, the two roots are
complex.
____ 5. Which of the following gives the complete solution for the quadratic equation 3 x 2  4 x ?
3
4
x  3 or x  4
3
x  0 or x 
4
4
x  0 or x 
3
3
3
x  or x  
4
4
a. x  3 or x 
b.
c.
d.
e.
Constructed Response. Show all work for full credit.
Solve the equations. Choose one to solve by completing the square and one by factoring. You
must use both methods to receive full credit.
6.
7. 2 x 2  8 x  0
8.
Complete parts a-c for the quadratic equation.
a. Find the value of the discriminant.
b. Describe the number and type of roots.
c. Find the exact solutions by using the Quadratic Formula.
x2  2x  5  0
a._______________
b. ______________
c._______________
Find the exact solution of the following quadratic equations using any method.
9.
x 2  8 x  20
Write a quadratic equation with the given roots. Write the equation in the form
where a, b, and c are integers.
10.
1
,5
3
***Extra Credit***
Which of the following is a factor of x 2  7 x  8 ?
a. x  2
c. x  4
b. x  1
d. x  8
,
Answers … Chapter 6 - Test #13 Practice
Multiple Choice
1. B
2. A
3. D
4. C
5. D
Constructed Response
6. x=1 or x=-3
7. x=0 or x=-4
8. a. -16
b. 2 complex
c. 1±2i
9. x=-10 or x=2
10. 3x 2  6 x  5  0
** EC: D