# TExES Mathematics/Science 4-8 (114): Practice & Study Guide Final Exam

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#### Question 1 1. A high school has a total of 2200 students. A student in a mathematics class takes a random sample of 165 students and finds that 15 students sampled are taller than 6 feet. Based on this sample, which of the following is the best estimate of the number of students at the high school are taller than 6 feet?

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Question 2
2.
Use the list below to answer the following questions.

List K: 95, 76, 84, 95, 72, 65, 84, 75, 69, 84, 80, 55

Which of the following statements are true about the numbers in the list?

#### Question 3 3. An equilateral triangle has a perimeter of 18 inches. If the triangle is dilated by a factor of 2.5, what is perimeter of the new triangle?

#### Question 4 4. A mathematics teacher is conducting a lesson on mathematical modeling. The teacher asks students to determine how long it would take to walk from Rochester, MN to Chicago IL. By assigning this task, the teacher has asked the students to demonstrate

#### Question 5 5. Train A and Train B are traveling from the same station at the same time. Train A is traveling due east at a constant rate and has traveled x(t) where train B is traveling due south at a constant rate and has traveled y(t) . The distance between the trains at time t is given by the function below. Which of the following can used to find the instantaneous rate of change between the two trains at time t?

#### Question 6 6. The value of a car Miguel purchased was $36,900. Assuming the car decreases by $1200 which of the following functions correctly models the value of the car, f, after x years?

#### Question 7 7. Which of the following represents a reflection of a line in the xy plane that is a reflection the line y = 3x - 2 about the y-axis?

#### Question 8 8. The initial population of bacteria is culture is 450. After 3 hours the bacteria doubles to 900. After 6 hours the population is 1800. Which of the following functions best models population P, of the bacteria as a function of time t, in hours?

#### Question 9 9. Which of the following is the prime factorization of 1500?

#### Question 10 10. Use the equation below to answer the following question.

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Question 11
11.
Use the student work below to answer the question that follows

Solve for x: x^2 - 2x = 35

Step 1 x^2- 2x - 35 = 35+ -35

Step 2 x^2 - 2x- 35 = 0

Step 3 (x+5)(x-7) = 0

Step 4 x+5 = 0 or x - 7 = 0

Step 5 x = -5 or x = 7

Which of the following is a justification for step 4?

#### Question 12 12. A circular spinner is divided into 7 equal parts and numbered 1 thru 7. When the spinner is spun, it is equally likely that arrow will land on any of the 7 sections. If the arrow is spun 4 times what is the probability that the arrow will land on 5 all 4 times?

#### Question 13 13. The formula below shows the relationship between C degrees Celsius and F degrees in Fahrenheit. In an experiment, a certain chemical is to be kept in an interval between 15 degrees Celsius and 40 degrees Celsius. What is the temperature interval in degrees Fahrenheit?

#### Question 14 14. Equilateral triangle RST has sides with a length of 4. Equilateral triangle DEF has sides with a length of 12. The area of triangle DEF is how many times the area of triangle RST?

#### Question 15 15. Students are using a graphing calculator to graph equations. Which of the following is an activity for the students to complete using the calculator?

#### TExES Mathematics/Science 4-8 (114): Practice & Study Guide Final Free Practice Test Instructions

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!