Applied Algebra II2008–2009 Semester 2 Assessment — Released

DRAFT

  1. What is the solution set 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 best represents an exponential function?

  1. What graph represents the function ?

  1. Given the equation, which statement is true?
  2. The equation is true when a = 3.
  3. The equation is true when a = 4.
  4. The equation is true for all real numbers a.
  5. The equation is not true for any real number a.
  6. Solve for x:
  7. x =
  8. x =
  9. x = 1
  10. x = 3
  11. What is the solution to the given system of linear equations?

  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?

  1. What is the graph of ?

  1. What is the domain of the function ?
  2. , x ≠ 0
  3. , x ≠
  4. , x ≠
  5. , x ≠
  6. What are the asymptotes of the function ?
  7. y = 0, x = –5
  8. y = 0, x = –5, x = 5
  9. y = –1, x = –5
  10. y = –1, x = –5, x = 5
  11. If no denominators equal zero, which expression is equal to ?

  1. Simplify the expression .
  2. Solve for n:
  1. Solve the rational equation for y.
  1. y = –5 or y = 1
  2. y = –3 or y = 3
  3. y = 1
  4. y =3

  1. What is the maximum of the quadratic function ?

  1. What graph represents ?

  1. Which is the equation of the graph shown below?

  1. Which graph represents ?

  1. What point is the center of the circle ?
  2. (–3, –7)
  3. (–3, 7)
  4. (3, –7)
  5. (3, 7)
  6. A circle has the equation . If the circle were translated 7 units left and 6 units up, what would its radius be?
  7. 1 unit
  8. 8 units
  9. 9 units
  10. 22 units
  11. Given the system of linear equations:

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


  1. How many terms are in the geometric sequence ?
  2. 6
  3. 8
  4. 9
  5. 16
  6. What is the expanded form of ?
  7. Identify what is contained in the box below as:
    i. arithmetic or geometric, and
    ii. a sequence or a series.
  1. arithmetic sequence
  2. arithmetic series
  3. geometric sequence
  4. geometric series

  1. What is when written in summation notation?
  2. Given and are terms of an arithmetic sequence. What is ?
  3. 41
  4. 50
  5. 123
  6. 130
  7. Which is a formula of the geometric sequence 3, 1, , , …?

  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. Which is a recursive rule for the sequence 2, 5, 11, 23, 47, …?
  7. Which sequence is produced from
    the definition:
  1. {–3, –19, –51, –115, –243, …}
  2. {–3, –7, –27, –67, –243, …}
  3. {–3, 7, 1, –11, –35, …}
  4. {–3, 19, 25, 37, 61, …}

  1. Which function represents the graph below?

  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. The offices of president, vice president, secretary, and treasurer will be chosen from the 6 members of a club. If a different club member will be chosen to fill each office, how many different permutations of 4 club members could be chosen to fill the offices?
  2. 360
  3. 120
  4. 24
  5. 15
  6. What is the coefficient of in the expansion of ?
  7. 12
  8. 54
  9. 81
  10. 108
  11. What is the second term of the expansion of ?
  12. What is the term for the outcome of a trial of a probability experiment that is not influenced by previous results of the experiment?
  13. complementary
  14. dependent
  15. independent
  16. mutually exclusive

  1. 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?
  2. 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?
  3. mean
  4. median
  5. mode
  6. None of the measures of center changed.

2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Applied Algebra II2008–2009 Semester 2 Assessment — Released

DRAFT

  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

Applied 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

Applied Algebra II2008–2009 Semester 2 Assessment — Released

Free Response

DRAFT

  1. The equation of a circle is .
  2. Sketch the graph of the circle on the grid provided.
  1. For what value(s) of a is the point inside the circle? Justify your answer algebraically.
  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