2. Twenty Questions Algebra 2012 EOC Review

3. Twenty Questions 12345 678910 1112131415 1617181920

4. 1. Jared solved the quadratic equation 12x 2 -7x-10=0 using the quadratic formula. What positive value of x is a solution to the quadratic equation?

5. 2. The graph of an equation of the form y=ax 2 +bx+c is shown. Which is true? A. a>0 and c>0 B. a>0 and c 0 ANSWER: D

6. 3. Which represents the coordinates of the vertex of the graph of y=x 2 -6x-10? A. (-6, 10) B. (3, -19) C. (3, -22) D. (6, 10) ANSWER: B

7. 4. Which is not true of the parabola with equation y = -3x 2 +2x-4? A. The parabola opens down. B. The parabola has a minimum. C. The parabola has vertex (1/3, -11/3) D. The y-intercept is (0, -4) ANSWER: B

8. 5. Which of the following statements is true of the equation graphed? A. It has exactly one real root. B. It has exactly two negative roots. C. It has one negative root and one positive root. D. It has no real roots. ANSWER: C

9. 6. Give the coordinates of the vertex. Tell whether the graph opens up or down. Give the y-intercept. ANSWER: Vertex (3, 8) Opens down Y-intercept (0, -1)

10. 7. Trey throws a ball up in the air from the top of a cliff 96 feet above the ground. The ball’s height, y, in feet, after x seconds can be represented by the equation y= -16x 2 +40x+96. After how many seconds does the ball hit the ground? ANSWER: 4 seconds

11. 8. Marcel is designing a rectangular desk. Two possible designs are shown below. How many square units greater is the area of deck A than the area of deck B? ANSWER: 8 square units

12. 9. Which of the following is the graph of ? AB. C.D. ANSWER: D

13. 10. The expression is equivalent to which of the following? A. (x+3)(2x-4) B. (2x-3)(2x+2) C. (2x-3)(x+4) D. (2x+3)(x-4) ANSWER: C

14. 11. Julian solved the quadratic equation using the quadratic formula. Which of the following shows the two solutions to the equation? A. B. C. D. ANSWER: B

15. 12. Muriel is fencing in a rectangular pen, as shown in the diagram. The pen’s area, y, can be represented by the quadratic equation. If the total area of the pen is 200 square feet, what is the length of the long side of the pen, in feet? ANSWER: 20 feet

16. 13. Which of the following is a correctly simplified version of the expression ? A. B. C. D. ANSWER: B

17. 14. What is the area of a rectangle with length (3xy) inches and width (14x 2 y) inches? ANSWER: 42x 3 y 2

18. 15. What is the area of a rectangle with length (3x+2) inches and width (4x+10) inches? ANSWER: 12x 2 +38x+20

19. 16. Write an expression for the perimeter of the figure below. ANSWER: 12x - 10

20. 18. Find the mistake in the student’s work.

21. 17. Anna needs to simplify the expression below. If and, which of the following is a simplified version of the expression above? A. B. C. D. ANSWER: B

22. 19. Which of the following is the graph of ? ANSWER: B

23. 20. Lara calculates the length of the hypotenuse of a right triangle to be. If Lara simplifies the expression correctly, which of the following is her answer? A. B. C. D. ANSWER: A