•  Practice Test 1) Write the prime factorization of 48.   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.)