NAME______________________________________________DATE______________
GEOMETRY
MRS. BINASO
MATH A REGENTS QUESTIONS
1. Which of the following is a factor of x2 + x  30?
(1) (x + 5)
(2) (x + 6)
(3) (x  6)
(4) (x + 1)
2. What is the greatest common factor of 18a3b2 + 27ab9?
(1) 9a3b9
(2) 9ab2
(3) 18ab2
(4) 9ab9
3. Given the equation x2  8x + 15 = 0. Which statement is true?
(1) The sum of the roots is 15.
(2) Both roots are greater than zero.
(3) One root is less than zero and the other root is greater than zero.
(4) One root is zero and the other root is greater than zero.
4. What is the positive root of x2  2x = 8?
(1) 1
(2) 2
(3) 4
(4) 8
5. What is the sum of the roots of the equation x2  11x + 10 = 0?
(1) 11
(2) 7
(3) 10
6. Which quadratic equation has 2 and –3 as its roots?
(1) x2  x  6 = 0
(2) x2 + x  6 = 0
(3) x2 + 5x + 6 = 0
6=0
7. What are the factors of 3x2 + 7x  20?
(1) (3x + 5)(x  4)
(2) (3x  4)(x + 5)
(3) (3x  5)(x + 4)
(4) -7
(4) x2  5x +
(4) (3x + 4)(x  5)
8. Which of the following is a factor of x2 + 3x  54?
(1) (x + 6)
(2) (x  9)
(3) (x + 9)
(4) (x + 3)
9. The larger root of the equation (x + 4)(x  3) = 0 is
(1) -4
(2) -3
(3) 3
(4) 4
10. The solution set of x2  x  6 = 0 is
(1) {1,-6}
(2) {-3,2}
(4) {5,1}
(3) {3,-2}
11. In factored form, the trinomial 3x2 + 5x  2 is equivalent to
(1) (3x + 1)(x  2)
(2) (3x + 2)(x  1) (3) (3x  1)(x + 2)
12. Which equation has –5 and 3 as its roots?
(1) x2 + 2x + 15 = 0
(3) x2 + 2x  15 = 0
(4) (3x  2)(x + 1)
(2) x2  2x + 15 = 0
(4) x2  2x  15 = 0
13. Which expression is a factor of x2 + 5x  24?
(1) (x + 4)
(2) (x  4)
(3) (x + 3)
14. What is the positive root of the equation c2  6c = 27?
(1) 1
(2) 3
(3) 9
15. Which is a factor of this expression?
(1) x + 5
(2) x  5
2x2 + 7x  30
(3) 2x  5
(4) (x  3)
(4) 27
(4) 2x + 6
PART III
Answer all questions in this part. Each correct answer will receive three (3) credits.
Clearly indicate all the necessary steps, including substitutions, diagrams, graphs, charts,
etc. Calculations that may be obtained by mental arithmetic or the calculator do not need
to be shown.
1. Solve for x: 2x2  5x  12 = 0
2. Solve the following equation: 6x2 + x  12 = 0
3. Solve for x: x2 + 3x  40 = 0