1. \(\)y ={ 2x }^{ 2 } +7x-3\(\)
| Quantity A | Quantity B |
| \(\)x\(\) | \(\)y\(\) |
2. \(\)\frac{ 1-x }{ x-1 }=\frac{ 1 }{ x }\(\)
| Quantity A | Quantity B |
| \(\)x\(\) | \(\)-\frac{ 1 }{ 2 }\(\) |
3. \(\)(x+3)(y-4)=0\(\)
| Quantity A | Quantity B |
| \(\)xy\(\) | \(\)-12\(\) |
4. If both expressions \(\){ x }^{ 2 }-3x+2\(\) and \(\){ x }^{ 2 }-4x+3\(\) equal \(\)0\(\), then what is the value of \(\){ (x-3) }^{ 2 }\(\) ?
(A) \(\)0\(\)
(B) \(\)1\(\)
(C) \(\)2\(\)
(D) \(\)3\(\)
(E) \(\)4\(\)
5. If \(\)x + y = 7\(\) and \(\){ x }^{ 2 }+{ y }^{ 2 } = 25\(\), then which one of the following equals the value of \(\){ x }^{ 3 }+{ y }^{ 3 }\(\) ?
(A) \(\)7\(\)
(B) \(\)25\(\)
(C) \(\)35\(\)
(D) \(\)65\(\)
(E)\(\) 91\(\)
6. \(\)(x-2y)(x + 2y) = 5\(\)
\(\)(2x-y)(2x + y) = 35\(\)
| Quantity A | Quantity B |
| \(\){ 2x }^{ 2 }-{ y }^{ 2 }\(\) | \(\){ x }^{ 2 }-{ 2y }^{ 2 }\(\) |
7. \(\)a = 49, b = 59\(\)?
| Quantity A | Quantity B |
| \(\)\frac{ { a }^{ 2 }-{ b }^{ 2 } }{ a-b }\(\) | \(\)\frac{ { a }^{ 2 }-{ b }^{ 2 } }{ a+b }\(\) |
8. If \(\){ x }^{ 2 }-4x + 3 = 0\(\), then what is the value of \(\){ (x-2) }^{ 2 }\(\) ?
(A) \(\)-1\(\)
(B) \(\)0\(\)
(C) \(\)1\(\)
(D) \(\)3\(\)
(E) \(\)4\(\)
9. If \(\)\sqrt { 3-2x }=1\(\), then what is the value of \(\)(3-2x) + { (3-2x) }^{ 2 }\(\) ?
(A) \(\)0\(\)
(B) \(\)1\(\)
(C) \(\)2\(\)
(D) \(\)3\(\)
(E) \(\)4\(\)
10.
| Quantity A | Quantity B |
| \(\){ 1111.0 }^{ 2 }-{ 999.0 }^{ 2 }\(\) | \(\){ 1111.5 }^{ 2 }-{ 999.5 }^{ 2 }\(\) |
11. \(\)(x-2)(x + 4)-(x-3)(x-1) = 0\(\)
(A) \(\)-5\(\)
(B) \(\)-1\(\)
(C) \(\)0\(\)
(D) \(\)1/2\(\)
(E) \(\)11/6\(\)
12. If \(\)x + y = k\(\), then \(\)3{ x }^{ 2 } + 6xy + 3{ y }^{ 2 } =\(\)
(A) \(\)k\(\)
(B) \(\)3k\(\)
(C) \(\)6k\(\)
(D) \(\){ k }^{ 2 }\(\)
(E) \(\)3{ k }^{ 2 }\(\)
13. \(\)8{ k }^{ 2 }-18 =\(\)
(A) \(\)8({ x }^{ 2 }-2)\(\)
(B) \(\)2(2x + 3)(2x-3)\(\)
(C) \(\)2(4x + 3)(4x-3)\(\)
(D) \(\)2(2x + 9)(2x-9)\(\)
(E) \(\)2(4x + 3)(x-3)\(\)
14. \(\)4x + y + 3z = 34\(\)
\(\)4x + 3z = 21\(\)
What is the value of \(\)y\(\)
15.
| Quantity A | Quantity B |
| \(\)(2s + 1)(s + 5)\(\) | \(\)2{ s }^{ 2 } + 11s + 4\(\) |
Answers:
1 D
2 B
3 D
4 E
5 E
6 A
7 A
8 C
9. C
10 B
11 E
12 E
13 B
14 13
15 A
