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