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This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2008 California Department of Education.

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CALIFORNIA STANDARDS TEST Released Test Questions Algebra II 51 Bacteria in a culture are growing exponentially with time, as shown in the table below. Which table below correctly describes points of ( )3−xthe exponential function fx=−2?x– 2 – 1 f(x)– 18 – 6 – 2 B x– 2 – 1

Which of the following equations expresses the number of bacteria, y, present at any time, t?

t

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t

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If the equation y=2xis graphed, which of the following values of xwould produce a point closest to the x-axis? 1A 4± 3± B 4± 5± C 3± 8± D 3 CST20145 53 Which table below correctly describes points of ( )3−xthe exponential function fx=−2?A x– 2 – 1 f(x)– 18 – 6 – 2 B x– 2 – 1

0

0

0

3

0

CST20196 54 log6 40 =A log10 6 +log 10 40B log10 6 −log 10 40C (log 10 6)(log 10 40) logD 10 40 log10 6 CST00199 —18 — This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2008 California Department of Education.

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CALIFORNIA STANDARDS TEST Released Test Questions Algebra II 55 Jonathan wrote the equation log6 (x −4)on the board. He needs one clue for problem solving. Which fact provides the correct information that he needs to solve the equation? On a recent test, Jeremy wrote the equation x2 −16 x 4. =+Which of the following x −statements is correct about the equation he wrote? =0 A 60 =B 61 =C 44=0D 64=2CST10484 �

1

6

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56 What is the value of log327?

2

3 C D CST00519 � .57 If log2 ≈0 301 and log 3 ≈0 477, what is the approximate value of log 72? 6 9 .

C 0.861± D 1.857±

If xis a real number, for what values of xis the 3x −9equation =x −3 true? 3 A all values of B some values of C no values of D impossible to determine± CST00032

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59 On a recent test, Jeremy wrote the equation x2 −16 x 4. =+Which of the following x −statements is correct about the equation he wrote? 4

4.