If A2 (B + C) = 20, (A, B and C are all integers bigger than 1), what is the value of the expression (B + C – A)?
Answer(s): C
Because they are all integers bigger than 1, the only multiplication can be 4 x 5 = 20. Because A is an integer, A2 can’t be 5 therefore its 4 (A = 2). A = 2 B + C = 5. B + C – A = 5 – 2 = 3.
If (A-B-C+D = 13) and (A+B-C-D = 5), what is the value of (B-D)2?
Answer(s): A
Subtract equation 2 from equation 1 and you’ll get: -2B +2D = 8 ---> (B-D) 2 = 16.
If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?
Take equation 1 + equation 3 – equation 2 and you’ll get 4 + 3 – 9 = -2.
If X2 + Y2 = A +3, XY = 7 and (X + Y) 2 = 25, what is the value of A?
Answer(s): D
A + 3 = X2+Y2 = (X + Y)2 – 2XY = 25 – 7 x 2 = 11 □ A = 8.
If 4-X < (2-5X)/3, which of the following is correct?
Multiply both sides by 3: 12 – 3X < 2 – 5X □ X < -5.
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