Practice with
Solving Quadratic Equations
Topic Index | Algebra Index | Regents Exam Prep Center

 

Solve each of the following quadratic equations. 
 
Each problem has a "hint" box if you need help getting started.  When you have solved each problem, check your answer by clicking the answer box.

 

1. Solve for yy2 - 81= 0
 


 

2. Solve for m:   m2 = 7m
 


 

3. Solve for xx2 - 3x - 10 = 0
 


 

4. Solve for y:  2y2 + 4 = 9y
 


 

5. Solve for aa2 = 36
 
 


On to the harder problems!


 

6. Solve for x:   
 

 

 

7. Solve for x:   
 

 

 

8. The square of a number is decreased by 15.  This value is twice the original number.  Find the number(s).
 

 

 

9. The product of two consecutive integers is 56.  Find the integers.

 

 

10.    During practice, a softball pitcher throws a ball whose height can be modeled by the equation h = -16t 2  + 24t +1, where h = height in feet and t = time in seconds.  How long does it take for the ball to reach a height of 6 feet?

 

 

11. One leg of a right triangle exceeds the other leg by four inches.  The hypotenuse is 20 inches.  Find the length of the shorter leg of the right triangle.

 

 

12. A baseball diamond is a square whose side is 90 feet.  Approximate the distance from home plate to second base, to the nearest foot.