Name:    Algebra 2 Chapter 3 Practice Test

1.

Solve .
 a. c. b. d.

2.

Solve by factoring.
 a. 14 and –2 c. 14 and 13 b. 13 and –2 d. 13 and –1

3.

Find the zeros of the function .
 a. and c. and b. and d. and

4.

Find the square root of the number .
 a. c. b. d.

5.

Add. Write the result in the form .
(7 – 9) + (–6 + 5)
 a. 12 – 15 c. –2 – b. 1 – 4 d. 13 – 14

6.

What is the product in the form ?
 a. c. b. d.

7.

Solve = 0.
 a. c. , 2 b. d.

8.

What value of d makes the equation true?

9.

Complete the square for  . Then write the resulting expression as the square of a binomial.
 a. ; c. ; b. ; d. ;

10.

Solve by completing the square.

11.

Write the quadratic function in vertex form.
 a. c. b. d.

12.

Solve .
 a. c. b. d.

13.

Use the Quadratic Formula to solve .
 a. c. b. d.

14.

Use the discriminant to find the number and type of solutions for .
 a. The equation has one real solution. b. The equation has two real solutions. c. The equation has two nonreal complex solutions. d. Cannot determine without graphing.

15.

Solve the equation using a graph.
 a. c. b. d.

16.

Solve the system formed by the equations below.

 a. (0, ) c. and b. d.

17.

The function gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked. Rewrite the function by factoring. How long does it take for the football to hit the ground?

18.

A catapult set atop a hill overlooking an enemy castle fires a boulder at that castle. The equation that represents the height in feet of the boulder above the ground the castle is built on is , where is the time in seconds after the boulder is launched.

a.      Rewrite the equation in the form for the case where a boulder strikes the castle wall 25 feet above the ground.
b.      How long is the boulder in part a in the air?

19.

Part A: Solve the system formed by the equations below. Round to the nearest hundredth if necessary. Describe the graph of this system.

Part B: Is it possible for a system like the one above to have exactly one solution? Explain why or why not.

20.

A punter kicks a football 4 feet above the ground with an initial upward velocity of 64 feet per second.

a.      The height above the ground in feet of an object h with an initial upward velocity in feet per second and an initial height in feet is , where is the time in seconds. Write an equation for the height of the football after seconds.
b.      Write an inequality that represents the time when the football is at least 52 feet high.
c.      At what times after the ball is kicked is the football at least 52 feet high?