Algebra II 2009–2010 Semester 1 Assessment — Released

  1. To which sets of numbers does belong?
  2. real numbers, whole numbers
  3. real numbers, rational numbers
  4. real numbers, integers, rational numbers
  5. real numbers, whole numbers, natural numbers
  6. Evaluate when and .
  7. 1
  8. 6
  9. Which is a simplified form of the expression ?

  1. What is the value of x when

?

  1. Solve the formula for c, where E, m,
    and c are positive real numbers.
  1. Solve for y:

  1. What is the solution set of ?
  2. Which expresses all of the solutions for the compound inequality?
  1. no solution
  1. A plumber charges a $60 service charge for making a house call. The cost for labor is $45 per hour. Which is a linear model for the cost of the plumber’s visit where n represents the number of hours of labor?

  1. Which graph is not a function?

  1. What is the range of the relation?
  1. Which is the equation of a line that passes through the points and ?

  1. Which equation represents the relation?

x / −3 / −1 / 1 / 3 / 5
y / 19 / 11 / 3 / −5 / −13
  1. Use the graph.

What is the slope of the line?


  1. A community pool is being drained for cleaning. At 9:00 a.m. the pool is
    12 feet deep. At 1:00 p.m. the pool is
    10 feet deep. What is the average rate of change in the water level?
  2. ft per hour
  3. ft per hour
  4. ft per hour
  5. 2 ft per hour
  6. Classify the relationship between the lines and .
  7. The lines are parallel.
  8. The lines are perpendicular.
  9. The lines coincide.
  10. None of these

  1. Which graph represents the equation ?

  1. The total amount of money that Susan makes in a week varies directly with the number of hours she works during that week. If Susan makes $450 in a week for working 30 hours, how many hours must Susan work to make $525?
  2. 15 hours
  3. 17.5 hours
  4. 32.5 hours
  5. 35 hours

  1. Which graph represents the piecewise function?

  1. The equations of two lines are given.

What is the x-coordinate of the point of intersection of the two lines?

  1. x = 9
  2. x = −6
  3. x = −12
  4. x = −27
  1. What is the y-coordinate of the solution of the system of equations?
  1. y = −6
  2. y = −3
  3. y = 3
  4. y = 6
  1. What is the z-coordinate of the solution of the system of equations?
  1. z = –2
  2. z = –1
  3. z = 0
  4. z = 1

  1. Which graph shows the solution to the system of inequalities?

  1. For one month of text messaging, Southern Mobile charges a $7.00 base fee and $0.10 per text message. Nevada Cell charges $0.20 per text message with no base fee. How many text messages would have to be sent for the monthly cost of both plans to be the same?
  2. 50 text messages
  3. 70 text messages
  4. 80 text messages
  5. 100 text messages

  1. The volleyball team is having a fundraiser and can purchase t-shirts for $10 and sweatshirts for $15. The team has a budget of $1200. Due to shipping costs, no more than a total of 100 t-shirts and sweatshirts combined can be ordered. Let t represent the number of t-shirts sold and s represent the number of sweatshirts sold.

The constraints are illustrated in the graph.

The team makes a profit of $6 on each
t-shirt and $10 on each sweatshirt. How many of each need to be sold to maximize profit?

  1. 60 t-shirts, 40 sweatshirts
  2. 40 t-shirts, 60 sweatshirts
  3. 0 t-shirts, 80 sweatshirts
  4. 100 t-shirts, 0 sweatshirts

  1. The tables show the number of shirts by size for the student council and the band.

Student Council / Band
Size / Boys / Girls / Size / Boys / Girls
S / 5 / 15 / S / 13 / 33
M / 7 / 16 / M / 18 / 24
L / 14 / 0 / L / 19 / 4

Which could be used to find the total number of shirts for small, medium and large by gender?


  1. Determine the values of x and y that make the equation true.
  1. What is the product MN?

,

  1. What is the determinant of ?
  2. −23
  3. −13
  4. 13
  5. 23

  1. A linear system is written as a matrix equation:

Solve the matrix equation for x.


  1. What graph represents ?

  1. What are the solutions to the quadratic equation ?
  2. What is the solution set for the quadratic equation ?
  3. What value of c makes the left side of the equation a perfect square trinomial?
  1. 4
  2. 8
  3. 16
  4. 64

  1. What is the solution set of the equation ?
  2. Using the discriminant, how many real and imaginary solutions are there for the equation?
  1. 2 real solutions, no imaginary solutions
  2. 1 real solution, 1 imaginary solution
  3. 1 real solution, no imaginary solutions
  4. no real solutions, 2 imaginary solutions
  1. What are the solutions of ?
  2. What is the product ?
  3. 5
  4. 13

  1. What graph represents the quadratic inequality?

  1. Use the formula below, where h is the height (in feet) of a falling object after t seconds and is the object’s initial height (in feet).

A boy standing on a balcony 144 ft above the ground drops a coin. How much time does it take for the coin to reach the ground? (Hint: when the coin reaches the ground.)

  1. seconds
  2. 2 seconds
  3. 3 seconds
  4. 4 seconds

  1. What graph represents the polynomial function?

  1. Whatgraph represents the polynomial function?

  1. Which polynomial represents the product ?
  2. What is the solution set of the equation ?

  1. What are the zeros of the polynomial function represented by this graph?
  1. What is the set of all real zeros of the polynomial function ?

2009–20101GO ON

ClarkCountySchool DistrictRevised 07/06/2010

Algebra II 2009–2010 Semester 1 Assessment — Released

  1. According to the Fundamental Theorem of Algebra, how many zeros does the function have?
  1. 2
  2. 3
  3. 4
  4. 5
  1. What is divided by ?
  2. Which describes the end behavior of the graph of as ?

  1. What function represents the graph?

2009–20101GO ON

ClarkCountySchool DistrictRevised 07/06/2010

Algebra II 2009–2010 Semester 1 Assessment — Released

Free Response

  1. This question obsolete as of 2011–2012. See new test specifications and practice questions.
  2. This question obsolete as of 2011–2012. See new test specifications and practice questions.
  3. This question obsolete as of 2011–2012. See new test specifications and practice questions.

2009–20101GO ON

Clark County School DistrictRevised 06/02/2011