Reviewer for Tests About Quadratic Equations

Name: ________________________ Date:__________________
Year & Section: _________________ Teacher: _______________

Reviewer: Quadratic Equations

I. Multiple Choice: Choose the letter of the correct answer. Show your solution.

1. What are the values of x that satisfy the equation 3 – 27x2 = 0? A. x = [pic]3 B. x = [pic] C. x = [pic] D. x = [pic] 2. What are the solutions of the equation 6x2 + 9x – 15 = 0? A. 1, - 15 B. 1, [pic] C. – 1, - 5 D. 3, [pic] 3. For which equation is – 3 NOT a solution? A. x2 – 2x – 15 = 0 C. 2x2 + 12x = - 18 B. x2 – 21 = 4x D. 9 + x2 = 0

4. What are the solutions of the equation (2x – 7)2 = 25? A. 6, - 6 B. 6, 1 C. 6, -1 D. – 6, - 1

5. Find the sum of the solutions to the equation x2 + 2x – 15 = 0. A. 8 B. – 8 C. 2 D. – 2

6. Find the product of the solutions to the equation x2 – 8x = 9. A. 6 B. – 6 C. 9 D. – 9 7. Which equation has [pic]as a solution? A. (2x – 5)(x + 1) = 0 C. (5x + 2)(x + 1) = 0 B. 5x – 2)(x + 1) D. (2x + 5)(x + 1)

8. The equation x2 – 3x + a = 0 has two roots. One root of the equation is 2. What is the other root? A. – 2 B. – 1 C. 1 D. 3

9. What is the quadratic equation determine by the roots 3 and – 4 ? A. x2 + x – 12 = 0 C. x2 + x + 12 = 0 B. x2 – x – 12 = 0 D. x2 – x + 12 = 0

10. One solution to the equation x2 + bx – 20 = 0 is 5. What is the other solution? A. 4 B. – 4 C. [pic] D. [pic] 11. What can you add to x2 + 5x to get a perfect square trinomial? A. [pic] B. [pic] C. 2.5 D. 25 12. How can you rewrite the equation x2 + 12x + 5 = 3 so the left side of the equation is in the form (x + a)2? A. (x – 6)2 = 28 B. (x + 6)2 = 39 C. (x + 6)2 = 34 D. ( x + 12)2 = - 2

13. How many real solutions does x2 – 10x + 25 = 0 have?? A. No solutions B. One solution C. Two solutions D.