Algebra II2008–2009 Semester 2 Assessment — Released

DRAFT

  1. What are the solutions of ?
  2. Write the radical expression in exponential notation.
  3. What is the value of the expression ?
  4. 2
  5. 4
  6. 8
  7. 16

  1. Let and . What is the differenceof the two functions, ?
  2. If and , what is the product of and ?
  3. –55
  4. –13
  5. –10
  6. 8
  7. Let and . What expression is equal to ?

  1. Which is the inverse of the function ?
  2. , where x ≥ 0
  3. , where x ≥ 0
  4. , where x ≥ 0
  5. , where x ≥ 0

  1. What is the graph of ?

  1. What is the value of x in the equation ?
  2. x = 20
  3. x = 28
  4. x = 32
  5. x = 80
  6. Ananimal population can be modeled over time by , where t is measured in weeks. After how many weeks will the population be 18 animals?
  7. 8
  8. 12
  9. 23
  10. 27
  11. Simplify the expression where .
  12. 8 + 5i
  13. 8 – i
  14. 4 + 5i
  15. 4 – i

  1. What graph represents the function ?

  1. What function describes the graph below?

  1. Expand the expression .

  1. Which equation is equivalent to ?
  2. What is the solution of the equation ?
  3. Solve the equation for n.

  1. What is the value of x if?
  2. 1
  3. 3
  4. A company commits to reducing its carbon emissions by 10% each year from the preceding year. If the company emitted 20,000 tons of carbon dioxide in the year prior to starting the program, which formula forrepresents the company’s emissions during year n of the program?
  5. What is the maximum of the quadratic function ?

  1. The value of s varies jointly with m and p. If s = 10 when m = 3 and p = 4, what is the value of s when m = 7 and p = 2?

  2. What is the graph of ?

  1. What are the asymptotes of the function ?
  2. y = 0, x = –5
  3. y = 0, x = –5, x = 5
  4. y = –1, x = –5
  5. y = –1, x = –5, x = 5
  6. Simplify the expression:
  7. 1
  8. Solve for n:

  1. Solve the rational equation for y:
  1. y = –2
  2. y = 0
  3. y = 2
  4. y =4
  1. The equivalent resistanceR of two resistors in parallel, with resistances and , is given by the formula:

If has twice the resistance of , what is the value of if the equivalent resistance is 30 ohms?

  1. 15 ohms
  2. 30 ohms
  3. 45 ohms
  4. 90 ohms

  1. Given the system of linear equations:

Which equation below shows the solution to the system using inverse matrices?


  1. What graph represents ?

  1. Which is the equation for the graph below?


  1. Which graph best represents ?

  1. Which equation represents the graph below?

  1. What type of conic section has the equation ?
  2. circle
  3. ellipse
  4. hyperbola
  5. parabola

  1. Which is the equation of an ellipse?
  2. Which function represents the graph below?

  1. What is the expanded form of the series ?
  2. What is the series when written in summation notation?
  3. Which equation is the sum of the first 10 terms of the series ?

  1. A simulation starts with 192 coins. The first step of the simulation removes half (96) of the coins. Each subsequent step removes half of the remaining coins. How many coins are left after the fifth step of the simulation?
  2. 24
  3. 12
  4. 6
  5. 3
  6. What is the sum of the infinite geometric series ?
  7. 0.012
  8. 0.444
  9. Which is a formulaof an arithmetic sequence when and ?

  1. Which is a formula of the geometric sequence 3, 1, , , …?
  2. Which is a recursive rule for the sequence 2, 5, 11, 23, 47, …?

  1. A witness to an auto accident reported seeing a partial license plate number. The question marks (?) indicate symbols the witness did not see.

The standard configuration for a Nevada license plate is 3 digits followed by 3 letters, with repetition allowed.

To find the suspect the police must narrow down the number of cars to be investigated. How many vehicle license plates are possible suspects?

  1. 1728
  2. 2160
  3. 2340
  4. 2600
  1. A bag contains 5 different colored chips. If 2 chips are selected at random, how many different combinations of colors are possible?
  2. 7
  3. 10
  4. 20
  5. 120

  1. Which is NOT a term of the expanded form of ?
  2. What is the coefficient of in the expansion of ?
  3. 12
  4. 54
  5. 81
  6. 108
  7. A deck of cards has 5 blue, 7 white,
    and 8 green cards. Two cards are selected at random from the deck without replacement. Which expression represents the probability that neither card is white?

2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Algebra II2008–2009 Semester 2 Assessment — Released

DRAFT

  1. The salaries for an electronics company were posted in their annual sales report for all stockholders. The president of the company makes the most money. His salary was mistakenly shown to be $25,000 less than it actually is. What measure of center changed when the mistake was corrected?
  2. mean
  3. median
  4. mode
  5. None of the measures of center changed.

  1. The data below show the number of plays run by a football team in each of its ten games last season.

37, 35, 41, 45, 41, 43, 55, 52, 52, 59

Which box-and-whisker plot represents the data?

2008–20091

ClarkCountySchool DistrictRevised 07/22/2009

Algebra II2008–2009 Semester 2 Assessment — Released

Free Response

DRAFT

  1. Use the functions and to answer the questions below.
  2. What are the domain and range of
  1. Find .
  1. Find .
  1. Sketch the graphs of and on the grid provided.

2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Algebra II2008–2009 Semester 2 Assessment — Released

Free Response

DRAFT

  1. The local population of a certain animal can be modeled by , where t is the number of years since 1990.
  2. Does this model indicate exponential growth or decay in the population of the animal? Explain your reasoning.
  1. Using the model, write an expression that shows the population of the animal in the year 2005. (You do not have to complete the computation.)
  1. Write an equation for , the year in which the population of the animal will be P.
  1. Use the functions and to answer the questions below.
  2. Sketch a graph of on the grid provided. Be certain to note any asymptotes and intercepts on the graph.
  1. Solve for x: .

2008–20091

ClarkCountySchool DistrictRevised 07/22/2009