Provide explanation in how to get the answer

I. Multiple Choice. Select the letter that corresponds to the correct answer. (2 point each) 1. What is 2v2 - 5V2 + v2 equal to? a. -2V2 b. 2V2 c. -V2 2. What is the value of V-4 . V-25 ? a. 10 b. 101 c. -10 3. What type of the equation is 2x? = 2x2 - 17 a. Conditional equation b. Contradiction c. Identity Equation 4. Which of the following is the solution set of the equation 2x = x + 1? a. 0 b. (1) C. 1 5. What is the discriminant of the quadratic equation x? - 5x = 0? a. 5 b. -25 c. 25 6. What is the character of roots of x2 - 5x = 0? a. Irrational and Unequal b. Rational and Unequal c. Rational and Equal 7. Which of the following real polynomial equation of lowest degree is obtained when you are given the roots 0 and 1 ? a. x - x =0 b. x2 - 1 = 0 c. x2 +1= 0 II. Matching Type. Match each radical expression in Column A with its value in Column B. Write only the letter of your answer. (2 point each) 1. 16 7 6. V(-5)2 0. -5 u. V2 2. 0-7 7. V-4+V-8 P. 5 v. -3aly2 3. 412 + 16 8. V4 4. 5 w. 3 4. 9. 10 25-1 r. x. 21 - 2 5. (-8)i 10. V-27aby6 s. Bialy2 y. undefined Z. III. Problem Solving. Show all necessary solutions. 1. Sketch the graph of the following equations. a. x - 2y - 2 = 0 (5 pts) b. y = x2 - 4x + 3 (5 pts) 2. Perform the indicated operation and simplify. (6 pts each) a. V/2x7 (-4)3 - x V54x b. 2-xy 3. Rationalize the denominator of - . (5 pts) 4. Solve the following equations. (5 pts each) a. 2x - 3(x - 2) = 2(3 - x) - 5 c. x2 + 2x = -2 (using quadratic formula method) b. 6x2 - 7x - 3 = 0 (using factoring method) d. e. V2x = x - 4 5. Plot the graph of 2x - y = 5 and write its solution set. (5 pts)