Study Guide:
Solving Equations by Factoring

 

Factoring can be used to solve many kinds of problems.

 

Directions: Solve each equation. Check your solutions.

 

{±4)

{−5}

{−1/9 , 0}

{−12, 2}

{−2, 0, 9}

{−3, 0, 12}

 

Directions: For each problem below, define a variable. Then use an equation to solve the problem. Disregard any unreasonable solutions.

 

7. The difference of the squares of two consecutive odd integers is 24. Find the two intergers.

−5, −7

  

8. The length of a Charlotte, North Carolina, conservatory garden is 20 yards greater than its width. The area is 300 square yards. What are the garden's dimensions?

30 yards by 10 yards

 

Directions: Use the formula h = vt − 16t2 to solve each problem.

 

9. A punter can kick a football with an initial vertical velocity of 48 feet per second. How many seconds will it take the ball to return to the ground?

3 seconds

  

10. If a rocket is launched at Houston, Texas, with an intial vertical velocity of 1600 feet per second, when will the rocket be 14,400 feet high?

10 seconds (rising) and 90 seconds (falling)