SAT Subject Test Math Level 2 Practice Test: Coordinates in Three Dimensions

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Question 3 questions

Time 4 minutes

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1. The distance between two points in space, P (x,-1,-1) and Q (3,-3,1), is 3. Find the possible values of x .

A. 1 or 2
B. 2 or 3
C. -2 or -3
D. 2 or 4
E. -2 or -4

2. The point (-4,0,7) lies on the

A. y-axis
B. xy plane
C. yz plane
D. xz plane
E. z -axis

3. The region in the first quadrant bounded by the line 3x + 2y = 7 and the coordinate axes is rotated about the x-axis. What is the volume of the resulting solid?

A. 8 units3
B. 20 units3
C. 30 units3
D. 90 units3
E. 120 units3