Akron Central Schools

Find the greatest common factor.

2) 45 and 60.   _______________
 

3) 12a²b and 20a²b². ________________ 
  
Factor. (Don't solve)

4) 21x - 14xy           ________________
 

5) 9a²b - 6a²b²      ________________
 

6) x² + 10x + 9          ________________
 

7) g² - 7g + 12           ________________
 

8) d² - d - 56           ________________
 

9) ab + ac + 7b + 7c  ________________
 

10) 3a² + 5a - 8        ________________
 

Foil.

11)  (x + 6)(x + 5)      _________________
 

12)  (k - 9)(k + 5)       _________________
 

13)  (4a - 5)(3a + 4)   _________________
 

14)  (x - 6)²                _________________
 

15)  (3x + 2)²           ________________
 

16)  (b + 9)(b - 9)     ________________
 

17)  (3a - 12)(4a + 7)  ________________
 

Solve.

18) (2x + 11)(x - 14) = 0     _________________
 
 

19) 5a² + 10a = 0            _________________
 
 

20) x² + 11x + 28 = 0      _________________
 
 

21) x² + 8x = -15          _________________
 
 

22)  6x² +1x - 10 = 0      _________________
 
 

23) The area of a rectangular yard is 480ft².  The lawn is 4 ft. longer than it is wide.  What is the width of the lawn? (hint: draw the picture.)
 

24) The product of two consecutive negative integers is 420.  What are the integers?
 

25) The square of a number added to its triple is 88.  Find the number.
      (hint: two possible answers.)