Linear Equations - Complemento
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Miscellaneous
16. For what values of P is X+ P equal to X P ?
(A) no value
(B) 0(C) all negative values (X0)
(E) all values
17. If : 1
=
, what does m equal?
(A) +1 only
(B) +1 and-1 only(C) +1 or+2 only
(D) no values
(E) all values except0
18. If
+
=
, wherex andy are positive integers, what is the value ofx
+y?
(A) 3
(B) 7
(C) 8
(D) 10
(E) 17
19. If p x q = 4 ; q x r = 8 ; rx p = 9 ; then what is the value
of p x q x r ?
(A) 12
(B) 2(C) 18
(D)182(E) 122
20. Find
if:
= 3 ;
= 5 ;
= 2
(A)
(B)
(C)
(D)
(E) 300
21. If 8x 3y = -8 and 6x = 2y -4, then what is the value of 2x
-y ?
(A) -16
(B) -6
(C) -4(D) -2
(E) 4
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22. Solve for x: Mx +Ny = P
Qx +Ry = S
(A)
(B)
(C)
(D)
(E)
23. If
+
=
, wherex andy are positive integers, then what is the value ofx
+y?
(A) 5(B) 7
(C) 8
(D) 36
(E) 12
24. Solve for y: + = 7
=
(A)
(B)
(C)
(D) 2
(E) 4
25. For what values of k will the pair of equations 3x + 4y = 12
and kx + 12y = 30 not have a unique
solution?
(A) 12(B) 9
(C) 3
(D) 7.5
(E) 2.5
26. If xy +z =x(y+z), then which must be true?(A)x = 0 ;z =
0
(B)x = 1 ;y = 1
(C)y = 1 ;z = 0
(D)x = 1 ory = 0
(E)x = 1 orz = 0
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27. If xy + k= k and x 0 , which must be true?
(A)x >y
(B)x +y = 0(C)y = 0
(D) |x -y| = 0
(E)xy = 1
28. If y = r 6 and z = r+ 5 , which of the following is an
expression of r in terms of y and z ?
(A)
(B)
(C)y +z - 1
(D)y +z
(E)y +z + 1
29. Find: x = a + b + c + d , if:
+
=
and
+
=
and
+
=
and + =
(A) 14(B) 13
(C) 12
(D) 11
(E) 5
30. Solve forx: + 1 3 = 1
(A) no value
(B) 0, -
(C) -
(D) 0(E) all values
