12. If log 5 ≈ 0 . 69897 5 almost equal to 0 . , 69897  and log 6 ≈ 0 . 77815 , log 6 almost equal to 0 . , 77815 , comma  what is the approximate value of log 150?
    6. 0.34188
    7. 0.38017
    8. 1.20412
    9. 2.17609
13. What is 4 x 2 − 1 2 x 2 − 5 x − 3 ⋅ x 2 − 6 x + 9 2 x 2 + 5 x − 3 ? fraction 4 , x squared , minus 1 , over 2 , x squared , minus 5 x minus 3 end fraction . dot . fraction x squared , minus 6 x plus 9 , over 2 , x squared , plus 5 x minus 3 end fraction . question mark
    1. 1
    2. x + 3 x plus 3
    3. x − 3 x minus 3
    4. ( x − 3 x + 3 ) open . fraction x minus 3 , over x plus 3 end fraction . close
14. Which is the factored form of 0 . 81 p 2 − 0 . 09 ? 0 . , 81 p squared , minus 0 . 09 question mark
    6. ( 0 . 9 p + 0 . 045 ) ( 0 . 9 p − 0 . 045 ) open 0 . 9 p plus 0 . 045 close open 0 . 9 p minus 0 . 045 close
    7. ( 0 . 9 p + 0 . 3 ) ( 0 . 9 p − 0 . 3 ) open 0 . 9 p plus 0 . 3 close open 0 . 9 p minus 0 . 3 close
    8. ( 0 . 9 p + 0 . 03 ) ( 0 . 9 p − 0 . 03 ) open 0 . 9 p plus 0 . 03 close open 0 . 9 p minus 0 . 03 close
    9. ( 0 . 9 p + 0 . 81 ) ( 0 . 9 p − 0 . 81 ) open 0 . 9 p plus 0 . 81 close open 0 . 9 p minus 0 . 81 close
15. Which arithmetic sequence does NOT include the term 33?
    1. 1, 5, 9, 13, …
    2. 3, 9, 15, …
    3. 1, 11, 21, …
    4. 85, 72, 59, …

16. The graph shows a transformation of which parent function?

    

    6. y = x y equals , x
    7. y = x 2 y equals , x squared
    8. y = | x | y equals , vertical line x vertical line
    9. y = 1 x y equals , 1 over x

GRIDDED RESPONSE

17. What is the sum of the following finite geometric series?

    1 + 4 + 16 + 64 + 256 1 plus 4 plus 16 plus 64 plus 256

18. What is the sum of the following finite arithmetic series?

    14 + 20 + 26 + 32 + 38 + 44 + 50 14 plus 20 plus 26 . plus . 32 plus 38 plus 44 plus 50

19. What is the value of log 4 256 ? log base 4 , 256 question mark
20. Rita works a part-time job at a clothing store and earns $7 per hour. Juan works at another clothing store and earns $6 per hour plus a 10% commission on sales. How many sales, in dollars, would Juan have to make in two hours to earn the same amount as Rita in a two-hour shift?
21. Let f ( x ) = x + 1 f open x close equals . x plus 1  and g ( x ) = x 2 . g open x close equals . x squared , .  What is ( g ∘ f ) ( 2 ) ? open g composition f close open 2 close question mark
22. What is the slope of a line perpendicular to the line y = − 1 2 x + 5 ? y equals negative , 1 half , x plus 5 question mark

Short Response

23. What is the graph and absolute value of − 3 + 2 i ? negative 3 plus 2 i question mark
24. What is an equation of the line passing through points (3, 5) and (7, 1)?
25. Write an explicit formula for the geometric sequence for which a 1 = 6 eh sub 1 , equals 6  and r = 1 2 . r equals , 1 half , .  Then generate the first five terms.
26. The 30th term of a finite arithmetic series is 4.4. The sum of the first 30 terms is 78. What is the first term of the series?
27. What is the inverse of y = x − 5 ? y equals , square root of x minus 5 end root , question mark

Extended Response

28. Use the properties of logarithms to write log 45 in four different ways. Name each property you use.
29. In a geometric sequence, a 1 = 2 eh sub 1 , equals 2  and a 5 = 162 . eh sub 5 , equals 162 .  Explain how to use the geometric mean to find the missing terms a 2 , a 3 , eh sub 2 , comma . eh sub 3 , comma  and a 4 . eh sub 4 , .
30. What are all the solutions to 27 x 4 + 8 x = 0 ? 27 x to the fourth , plus 8 x equals 0 question mark  Show your work.

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