Algebra 2 CP Semester 1 PRACTICE Exam NAME DATE HR You may use a calculator. Please show all work directly on this test. You may write on the test. GOOD LUCK! THIS IS JUST PRACTICE GIVE YOURSELF 45 MINUTES TO DO THE TEST CHECK YOUR SCORE. Once 45 minutes is up, go back and complete the test and make sure every answer is right! 1. Find the y-intercept of: y = 2x 2 + 8x 10 Do Your Figuring Here A. (0, 2) B. (0, -2) C. (0, 8) D. (0, -10) 2. Find the Axis of Symmetry of: y = 2x 2 + 8x 10 A. x = 2 B. x = -2 C. x = 8 D. x = -10. Which of the following is equivalent to: (6 5i)(6 + 5i) A. 61 B. 6 25i C. 61 60i D. 61 + 60i 4. Which of the following is equivalent to: 5+ 2 A. 5 + 6 B. 5 + 6 C. 5 + 6 9 D. 10 + 6
5. Solve the following equation: x 2 4x + 6 = 0 Do Your Figuring Here A. 4 ± 10 B. 2 ± 10 C. 4 ± 2 D. 2 ± 2 6. Which of the following expressions is equivalent to: ( 2x y 4 ) 2 (x 9 y ) A. 12x 18 y 12 B. 12x 15 y 12 C. 12x 15 y 5 D. 6x 15 y 5 7. Which of the following expressions is equivalent to: 125a7 b 4 5a 4 b A. 25a b B. 25a b C. a 625b D. a 10b 8. Which of the following expressions is equivalent to: (x + 2)(x 1)(x + ) A. x 6 B. x + x 2 2x 6 C. x + 4x 2 + x 6 D. x + 2x 2 2x 6
9. Which graph has the following End Behavior: as x, f(x) as x, f(x) Do Your Figuring Here A. B. C. D. 10. Identify one of the factors of: 2x 4 x 2 A. (2x 2 ) B. (2x 2 1) C. (x 2 ) D. (x 2 1)
11. Identify all of the factors of: 125x + 1 Do Your Figuring Here A. (5x + 1) B. (5x + 1)(5x 6 25x + 1) C. (5x + 1)(25x 2 5x + 1) D. (5x 1)(5x 2 + 5x + 1) 12. One factor of x 5x 2 x + 5 is (x 5). Find the remaining factors. A. (x + 2)(x 2) B. (x 2)(x 2) C. (x 1)(x 1) D. (x 1)(x + 1) 1. Identify all of the zeros of the following polynomial: x + x 2 2x 6 A., ± 2 B., ± 2 C., ±2 D., ±2 14. Based on the figure, determine the number of real zeros. A. B. 4 C. 5 D. 6
15. Express in simplest radical form: (81x 2 ) 4 Do Your Figuring Here A. 27x 2 x B. 81 x 2 C. 81x 2 x D. 27x x 16. Express in simplest radical form: a 2 a 7 A. a a 2 B. a a C. a 2 a 2 D. a 2 a 17. Which of the following expressions is equivalent to: 2 18 2 + 24 A. 2 10 B. 7 8 C. 5 2 + 2 6 D. 7 2 18. Which of the following expressions is equivalent to: 2 5x 7 4 2x 2 A. 8x 10 B. 8x 4 10x C. 8x 4 10x 2 D. 8x 10x
19. If f(x) = 2x + 5 and g(x) = x 6 find f(x) g(x). Do Your Figuring Here A. x 1 B. x + 11 C. x 11 D. x 1 20. Find the domain of: f(x) = 5x A x > 4 B x, 4 C x 0 D x 4 x+4 21. A recent survey of 500 shows that 75% of students don t study for their Algebra 2 CP Midterm. Find the interval likely to contain the exact percent. A. 70.5% - 79.5% B. 6.5% - 86.5% C. 71.6% - 78.4% D. 0% - 100%
Algebra 2 CP Semester 1 PRACTICE EXAM Part 2 NAME DATE HR For #1: Find the indicated values and graph the equation as well as the Axis of Symmetry. You must show all work for credit. y = 2x 2 4x + 1 Graph the equation as well as the axis of symmetry Vertex, Axis of Symmetry Does this graph have a maximum or minimum? (circle one) Maximum/ Minimum Value For #2, Find the Discriminant and Describe the Nature of the Zeros: x 2 4x + 9 = 0 Discriminant: Nature of Zeros: For #, Your University Book Store sells 200 freshmen math text books at $175 each. The store estimates that for every $5 decrease in price, the store will sell 10 more text books. Find the number of text books and cost of textbooks that will maximize profit, and the maximum profit. Cost of Book: Number of Books Sold: Max Profit:
For #4, Find all of the zeros of the function. All work must be shown to receive full credit. f(x) = x 4 + x + 7x 2 + 9x 18 x = For #5, if f(x) = x + 2x 2 and g(x) = 5x 2 + 1; then find the following: f(x) + g(x) f(x) g(x) f(x) + g(x): f(x) g(x): For #6, find the solution(s) to the following equation: (x) 4 = 81 x = For #7, find the solution(s) to the following equation: x + 1 = x x =
ANSWERS 1. D 2. B.. A. 4. B 5. B 6. C 7. B 8. C 9. D 10. A 11. C 12. D 1. B 14. C 15. D 16. A 17. C 18. A 19. B 20. D 21. A FREE RESPONSE ANSWERS 1. Vertex: (-1, ) AoS: x = -1 Maximum @ 2. Discriminant: -92 Nature of Zeros: 2 imaginary roots. Cost: $17.50; 275 Books Sold; Profit: $7,812.50 4. Zeros: x = -2, 1, ±i 5. f(x) + g(x) = x 2 6. x = ±9 7. x = 4 + x + 1 f(x) - g(x) = 7 x 2 + x + 1