NAME___________________________________________DATE_________________ GEOMETRY MRS. BINASO MATH A REGENTS QUESTIONS PART I Answer all questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. 1. When 4x8 16x4 + 8x3 is divided by –2x2, the quotient is (1) -2x6 + 8x2 4x (2) -4x4 + 8x2 4x (3) -2x6 16x4 + 8x3 (4) -2x10 + 8x6 4x4 2. Find the product of 2xy4 and 3x3y-2. (1) 6x4y6 (2) 5x2y2 (3) 6x3y8 (4) 5x4y6 3. Which expression is equivalent to 3x + 2y ? 6x (1) 1 + y (2) 3x + y (3) x + 2y 2 6x 3x 2x (4) 1 + 2 4. The quotient of 15x3y2 and –5xy2 is (1) -3x2 (2) 10x3y (4) -3xy (3) -75x4y4 y 3x 5. If 2n2 5n + 3 is subtracted from 5n2 + 4n 7, the result is (1) 3n2 + 9n 10 (2) 3n2 n 4 (3) -3n2 9n + 10 (4) 7n2 n 3 6. Which expression is equivalent to 5 3y (1) 5 x (2) 5 x 12y 3y 4 x ? 4 (3) 20 3xy 3y 4 (4) 20 3xy 12y 7. The sum of 3x2 + x + 8 and x2 9 can be expressed as (1) 4x2 + x 1 (2) 4x2 + x 17 4 (3) 4x + x 1 (4) 3x4 + x 1 8. Expressed as a single fraction, what is (1) 2x + 3 x2 + x (2) 2x + 1 x2 + x 1 + 1 , x 0,-1 ? x+1 x (3) 2 2x + 1 9. The expression (x2z3)(xy2z) is equivalent to (1) x2y2z3 (2) x3y2z4 10. The expression (3x2y3)2 is equivalent to (3) x3y3z4 (4) 3 x2 (4) x4y2z5 (1) 9x4y6 (2) -6x2y6 (3) -6x3y5 (4) -6x3y6 11. If 3n2 14n + 6 is subtracted from 4n2 6n 9, the result is (1) n2 + 8n 15 (2) n2 20n 3 (3) -7n2 + 20n 3 (4) -n2 8n + 15 12. Which expression is equivalent to a + b ? x 2x (1) 2a + b (2) 2a + b (3) a + b 2x x 3x (4) a + b 2x PART II and III Answer all questions in this part. Clearly indicate all necessary steps, including substitutions, diagrams, charts, etc. Calculations that may be obtained by mental arithmetic or the calculator need not be shown. 1. Simplify: 2. Simplify: 9x2 15xy 9x2 25y2 24x2 + 32xy 9x2 16y2 3. Express as a single fraction in lowest terms. 4. Express the quotient in simplest form: y4 2y x2 4 x2 + 3x 10 5. Express the following product in simplest form. x2 25 x2 + 4x 5 2x 2 x2 + 10x + 25 + 3y 5 5y x2 + 5x + 6 x2 + 8x + 15