Question  
1.  Test the equation for symmetry with respect to the xaxis, the yaxis, and the origin. Sketch the graph of the equation. y5 = x


2.  Write the equation of the line passing through (–3, –5) and (3, 0). Write your answer in the slopeintercept form y = mx + b.


3.  Indicate the slope. 3x + 4y = 12


4.  Indicate the slope, if it exists. y = –3


5.  Write the equation of the line with slope 0 and yintercept –3. Write the equation in standard form Ax + By = C, A > 0.


6.  Test the equation for symmetry with respect to the xaxis, the yaxis, and the origin. x2y + 4y2 = 1


7.  Find the midpoint of the line segment with endpoints (0, 3) and (10, 9).


8.  Reflect A, B, C, and D through the xaxis and then through the yaxis and give the coordinates of the reflected points, A’, B’, C’, and D’.


9.  Write the equation of the line passing through (–2, –8) and (–2, –6).


10.  Test the equation for symmetry with respect to the xaxis, the yaxis, and the origin. x2 + 6xy + y2 = 1


11.  Reflect A, B, C, and D through the origin and give the coordinates of the reflected points, A’, B’, C’, and D’.


12.  Test the equation for symmetry with respect to the xaxis, the yaxis, and the origin. Sketch the graph of the equation. y2/7 = x


13.  Test the equation for symmetry with respect to the xaxis, the yaxis, and the origin. x2 + y2 + x2y2 = 4


14.  Reflect A, B, C, and D through the yaxis and give the coordinates of the reflected points, A’, B’, C’, and D’.


15.  Find the equation of the line with slope –6 and yintercept 4. Write the equation in standard form Ax + By = C, A > 0.


16.  Find the distance between (–3, –2) and (1, 4).


17.  M is the midpoint of A and B. Find the indicated point. Verify that


18.  Test the equation for symmetry with respect to the xaxis, the yaxis, and the origin. y = x – 3


19.  Solve for y, producing two equations, and then graph both of these equations in the same viewing window.
(y – 2)2 – x2 = 9


20.  Test the equation for symmetry with respect to the xaxis, the yaxis, and the origin. Sketch the graph of the equation. 16×2 – y2 = 1.

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