NAME___________________________________________DATE_________________ GEOMETRY MRS. BINASO

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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:
y4
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
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