Practice Test #2

Solving Quadratic Equations

Name__________________________

Teacher________________________

Date ____________Block_________ Solve the following equations:

1. 9

36

a

a= 2. 22( 8) 112x− − = −

3. 2 3 18 0n n+ − = 4. 24 3 85x− + = −

5. 23 18 0a a− = 6. 2

( 4) 225x − =

Solve the following equations:

7. 4

3 4

x

x

−=− +

8. 2 24 8 3 3 5x x x− − − = − −

9. 2

11 9

7m= 10.

225( 4) 49x + =

11. 5 4

3 7

v

v

− =−

12. 29 35 30 1x x x− + − = −

Context 13. The maximum speed, s (in knots, or nautical miles per hour) that a sailboat can travel is related to the boat’s

length, L (in feet). This relationship can be modeled by the equation 29

16L s= .

What is the maximum speed of a sailboat that is 32 feet long?

14. You and your friend are playing tennis. Your friend lobs the ball high into the air, hitting it 3 feet above the

court with an initial velocity of 40 feet per second. You back up and prepare to hit an overhead smash to win the point.

Use the formula h = −16t 2 + vt + s to solve the problem. h = height of the object at any time t, v = initial velocity, s = initial height, and t = time in second

a. If you plan to hit the smash when the ball falls to a height of 8 feet above the court, how long do you have to prepare for the shot?

b. If you miss, how long would it take for the ball to hit the ground?

15. The area of the given rectangle is 77 square feet. Find the dimensions of the rectangle. x +3 3x – 1 Literal Equations

Solve the following formulas for the specified variable and give a reason for each step.

16. 21

2d at= Solve for t. 17. 24 20 Solve for .y x x= −

18. 2 2 2 Solve for A.A B C+ =