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For which of the following values of a will there be exactly one real solution to the equation 2x2 - ax + 8 = 0?

(A)2 image

(B) 4

(C) 4 image

(D) 6

(E) 8

The Correct Answer

Which of the following inequalities specifies precisely the real values of x that are solutions to the inequality -5 < -3x - 7?

(A)x < 4 (B) image (C) image (D) image (E) x > 4

Correct Answer: B

If x2– x– 2 > 0, which of the following is the solution set for x?

(F) x> –1(G) x> 2(H) –1 < x < 2(J) x< –1 or x> 2(K) No solutions are possible.

Correct Answer: J

In the standard (x,y) coordinate plane below, 3 of the vertices of a rectangle are shown. Which of the following is the 4th vertex of the rectangle?

(A)(3,–7) (B)(4,–8) (C)(5,–1) (D)(8,–3) (E)(9,–3)

Correct Answer: A

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