Practice with
Solving Quadratic Equations
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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.