SAT Mc Graw Hill 2011

(Marvins-Underground-K-12) #1

318 MCGRAW-HILL’S SAT


Concept Review 5: Factoring



  1. What does it mean to factor a number or expression?


  2. Write the four basic factoring formulas for quadratics. _____






  3. What is the zero product property?


  4. Write the prime factorization of 108. 4. ___

  5. Find the least common multiple of 21mnand 75n^2. 5. ___

  6. Find the greatest common factor of 108x^6 and 90x^4. 6. ___


Factor and check by FOILing: FOIL:



  1. 1 − 49 x^4 10.

  2. m^2 + 7 m+12 11.

  3. 16x^2 − 40 x+25 12.


Solve by factoring and using the zero product property. (Hint: each equation has two solutions.)



  1. 4x^2 = 12 xx= or 14. x^2 − 8 x= 33 x= or

  2. If 3xz− 3 yz=60 and z=5, then x−y=___


325


2
()x−

xx
2

1


35


1


2


+



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+



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()yy+^33 ()−
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