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Geometry and Algebraic Equations Practice

This exercise set covers projections, points on lines, sphere centers, plane equations, solid rectangular boxes, and inequalities.

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Geometry and Algebraic Equations Practice

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  1. 1. 2. 3. What is the projection of the point {image} on the xy - plane? • {image} • {image} • {image}

  2. 1. 2. Which set of points lies on a straight line? • {image} • {image}

  3. 1. 2. 3. 4. Given the following equation, find the center of the sphere. {image} • {image} • {image} • {image} • {image}

  4. 1. 2. 3. 4. 5. 6. 7. Write an equation or inequality that represents a plane containing all points with equal x and y coordinates. • {image} • {image} • {image} • {image} • {image} • {image} • {image}

  5. 1. 2. 3. 4. Write inequalities to describe the solid rectangular box in the first octant bounded by the planes x = 6 , y = 5 , z = 3 . • {image} • {image} • {image} • {image}

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