4. The total area of a sheet of paper can be represented by 27 x 3 + 64 y 3 . 27 x cubed , plus , 64 y cubed , .  Which factors could represent the length times the width?

   6. ( 3 x + 4 y ) ( 3 x 2 + 4 y 2 ) open 3 x plus 4 y close open , 3 x squared , plus , 4 y squared , close
   7. ( 3 x + 4 y ) ( 9 x 2 − 12 x y + 16 y 2 ) open 3 x plus 4 y close open , 9 x squared , minus . 12 x y plus , 16 y squared . close
   8. ( 3 x − 4 y ) ( 9 x 2 − 12 x y + 16 y 2 ) open 3 x minus 4 y close open , 9 x squared , minus , 12 x y , plus , 16 y squared , close
   9. ( 3 x + 4 y ) ( 3 x 2 − 3 x y + 4 y 2 ) open 3 x plus 4 y close open , 3 x squared , minus , 3 x y , plus , 4 y squared , close

5. The graph below shows the quadratic function y = x 2 + 2 x − 3 . y equals , x squared , plus , 2 x minus 3 . Use the graph to find all the solutions of x 2 + 2 x − 3 = 0 . x squared , plus , 2 x minus 3 equals 0 .

   

   1. − 3 negative 3
   2. − 1 negative 1
   3. − 3 negative 3  and 1
   4. 3 and − 1 negative 1

6. The table shows ordered pairs that satisfy the equation y = − x 2 + 2 x + 15 . y equals negative , x squared , plus 2 x plus 15 .

   x	− 3 negative 3	0	2	3	5
   y	0	15	15	12	0

   Based on this table, what is the solution set of the equation − x 2 + 2 x + 15 = 0 ? negative , x squared , plus 2 x plus 15 equals 0 question mark

   6. { 0 , 15 } the set 0 comma 15 end set
   7. { − 3 , 15 } the set negative 3 comma 15 end set
   8. { 5 , 0 } the set 5 comma 0 end set
   9. { − 3 , 5 } the set negative 3 comma 5 end set
7. What is the product of x 2 + 5 x + 4 ( x − 1 ) ( x + 1 ) fraction x squared , plus 5 x plus 4 , over open , x minus 1 , close . open , x plus 1 , close end fraction  and x 2 − 5 x + 6 x − 2 ? fraction x squared , minus 5 x plus 6 , over x minus 2 end fraction . question mark
   1. x 2 + 7 x + 12 x − 1 fraction x squared , plus 7 x plus 12 , over x minus 1 end fraction  for x ≠ 1 x not equal to 1
   2. x 2 + x − 12 x − 1 fraction x squared , plus x minus 12 , over x minus 1 end fraction  for x ≠ − 1 , 1 , x not equal to , negative 1 comma , 1 comma  or 2
   3. x 2 + x − 12 x − 1 fraction x squared , plus x minus 12 , over x minus 1 end fraction  for x ≠ 1 x not equal to 1
   4. x 2 + 7 x + 12 x − 1 fraction x squared , plus 7 x plus 12 , over x minus 1 end fraction  for x ≠ − 1 , 1 , x not equal to , negative 1 comma , 1 comma  or 2
8. What is the sum of the infinite geometric series 1 4 + 1 16 + 1 64 + 1 256 + … ? 1 fourth , plus , 1 sixteenth , plus , 1 sixty fourth , plus , 1 over 256 , plus dot dot dot question mark
   6. 1 4 1 fourth
   7. 1 3 1 third
   8. 1 2 1 half
   9. 3
9. If f ( x ) = 4 x 4 − 9 f open x close equals . 4 x to the fourth , minus . 9  and g ( x ) = 2 x 2 + 3 , g open x close equals . 2 x squared , plus 3 comma  what is ( f g ) ( x ) ? open , f over g , close . open x close , question mark
   1. 2 x 2 − 3 2 , x squared , minus 3
   2. 2 x + 3 2 x plus 3
   3. 2 x − 3 2 x minus 3
   4. 2 x 2 + 3 2 x squared , plus 3

10. Marisol wants to start saving money for college. She sees the advertisement below in her local newspaper.

    

    For x dollars in this savings account, I ( x ) = 1 . 047 x i open x close equals . 1 . 047 x  is the value of the account after one year. B ( x ) = x + 50 b open x close equals . x plus 50  is the value of the account after the one-year bonus. ( B · I ) ( x ) open b middle dot i close open x close  models the value of this account after one year of investment time and the one-year bonus. Marisol opens a savings account by depositing $120. What is the value of the account after one year?

    6. $175.64
    7. $182.58
    8. $226.40
    9. $249.90

11. What is the area of the parallelogram below?

    

    4 a b − 2 fraction 4 eh , over b super negative 2 end super end fraction

    1. 12 a b 2 fraction 12 , over eh , b squared end fraction
    2. 3 a b 2 fraction 3 , over eh , b squared end fraction
    3. 12 b 2 a fraction 12 , b squared , over eh end fraction
    4. 3 b 5 4 a 3 fraction 3 , b to the fifth , over 4 , eh cubed end fraction

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