SAT Practice Test 8

Math Test

25 Minutes 20 Questions

    1. NO-CALCULATOR SECTION

      This section corresponds to Section 3 of your answer sheet.

      Directions: For this section, solve each problem and decide which is the best of the choices given. Fill in the corresponding oval on the answer sheet. You may use any available space for scratch work.

      Notes:

      1. Calculator use is NOT permitted.
      2. All numbers used are real numbers, and all variables used represent real numbers, unless otherwise indicated.
      3. Figures are drawn to scale and lie in a plane unless otherwise indicated.
      4. Unless stated otherwise, the domain of any function f is assumed to be the set of all real numbers x, for which f (x) is a real number.

      Information:

      • The sum of the degree measures of the angles in a triangle is 180.
      • The number of degrees of arc in a circle is 360.
      • The number of radians of arc in a circle is 2π.

    2. What is the average rate of change for the line graphed in the figure above?

    3. Which of the following could be the factored form of the equation graphed in the figure above?

    4. Kinetic energy is the energy of motion. The equation represents the kinetic energy in joules of an object with a mass of m kilograms traveling at a speed of v meters per second. What is the kinetic energy in joules of an unmanned aircraft that has a mass of 2 × 103 kilograms traveling at a speed of approximately 3 × 103 meters per second?

      1. 9 × 59
      2. 9 × 108
      3. 9 × 109
      4. 1.8 × 1010

    5. In the equation above, what is the value of k ?

    6. An environmental protection group had its members sign a pledge to try to reduce the amount of garbage they throw out by 3 percent each year. On the year that the pledge was signed, each person threw out an average of 1,800 pounds of garbage. Which exponential function could be used to model the average amount of garbage each person who signed the pledge should throw out each year after signing the pledge?

      1. y = 0.97 × 1,800t
      2. y = 1,800 × t  0.97
      3. y = 1,800 × 1.97t
      4. y = 1,800 × 0.97t

    7. Which of the following is equivalent to the expression above?

    8. If the equation of the line shown in the figure above is written in the form , which of the following could be the value of m ?

      1.   −3
      3.     
      4.      3

    9. If 4x  2 + 7x + 1 is multiplied by 3x + 5, what is the coefficient of x in the resulting polynomial?

      1.   3
      2. 12
      3. 35
      4. 38

    10. The figure above shows worldwide unemployment rates from 2004 to 2013. Which of the following statements is true?

      1. The graph is decreasing everywhere.
      2. The graph is increasing from 2007 to 2010.
      3. The graph is decreasing from 2004 to 2007 and from 2009 to 2011.
      4. The graph is increasing from 2007 to 2010 and decreasing from 2011 to 2013.

    11. The solution to which inequality is represented in the graph above?

    12. If (a, b) is a solution to the equation above, what is the ratio , given that a ≠ 0 ?

      1.    −3
      2.    −2

    13. If the system of linear equations above has no solution, and a is a constant, what is the value of a ?

      2.    
      3.    
      4.    3

    14. A taxi in the city charges $3.00 for the first mile, plus $0.25 for each additional mile. Eric plans to spend no more than $20.00 on a taxi ride around the city. Which inequality represents the number of miles, m, that Eric could travel without exceeding his limit?

      1. 2.5 + 2m ≤ 20
      2. 3 + 0.25m ≤ 20
      3. 3 + 2m ≤ 20
      4. 12 + 2m ≤ 20

    15. If the equation of the circle shown above is written in the form x  2 + y 2 + ax + by = c, what is the value of ab + c ?

      1.   6
      2. 16
      3. 28
      4. 32

    16. A projectile is any moving object that is thrown near the Earth’s surface. The path of the projectile is called the trajectory and can be modeled by a quadratic equation, assuming the only force acting on the motion is gravity (no friction). If a projectile is launched from a platform 8 feet above the ground with an initial velocity of 64 feet per second, then its trajectory can be modeled by the equation h = –16t 2 + 64t + 8, where h represents the height of the projectile t seconds after it was launched. Based on this model, what is the maximum height in feet that the projectile will reach?

      1.    72
      2.    80
      3.    92
      4. 108

    1. Directions: For questions 16–20, enter your responses into the appropriate grid on your answer sheet, in accordance with the following:

      For questions 14–17, enter your responses into the appropriate grid on your answer sheet, in accordance with the following:

      1. You will receive credit only if the circles are filled in correctly, but you may write your answers in the boxes above each grid to help you fill in the circles accurately.
      2. Don't mark more than one circle per column.
      3. None of the questions with grid-in responses will have a negative solution.
      4. Only grid in a single answer, even if there is more than one correct answer to a given question.
      5. A mixed number must be gridded as a decimal or an improper fraction. For example, you would grid  as 7.5 or 15/2.
        (Were you to grid it as , this response would be read as .)
      6. A decimal that has more digits than there are places on the grid may be either rounded or truncated, but every column in the grid must be filled in order to receive credit.

    2. If , what is the value of 9x + 10y ?

    3. How many degrees does the minute hand of an analog clock rotate from 3:20 p.m. to 3:45 p.m.?

    4. Triangle ABC shown above is an equilateral triangle cut by two parallel lines. If the ratio of BF to FC is 3:4 and EB = 3, what is the length of DE ?

    5. What is the exponent on x when the expression above is written in simplest form?

    6. An exponential function is given in the form f(x) = a • b x. If f(0) = 3 and f(1) = 15, what is the value of f(–2) ?