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1. |
Solve the system of equations y = 3x + 4 and y = -2x - 6 by graphing. |
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A. |
(-3, 2) |
B. |
(-2, -2) |
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C. |
(-2, -3) |
D. |
(4, 6) |
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Hint |
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2. |
Identify the solution of the system of equations x - y = 8 and y = -x + 6. |
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A. |
(1, -7) |
B. |
(-3, 2) |
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C. |
(4, -6) |
D. |
(7, -1) |
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Hint |
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3. |
Which equation is the result of substituting the equation y = -4x + 8 into the equation 2x + 4y = 12? |
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A. |
x = 12 - 2x + 4y |
B. |
-4(2x + 4y) + 8 = 12 |
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C. |
-4x + 8 = 2x + 4y |
D. |
2x + 4(-4x + 8) = 12 |
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Hint |
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4. |
Solve the system of equations 2x + y = 2 and x + 2y = 4 by elimination. |
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A. |
(0, 2) |
B. |
(2, 2) |
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C. |
(-1, -2) |
D. |
(-4, 8) |
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Hint |
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5. |
Draw the image of  if it is translated by (1, 4). |
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A. |
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B. |
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C. |
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D. |
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Hint |
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6. |
The translation image  is shown below. If the preimage was translated (2, 1), what are the coordinates of the preimage vertices? |
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A. |
X(1, 3), Y(0, -5), Z(-5, 3) |
B. |
X(5, 3), Y(4, -5), Z(-1, 3) |
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C. |
X(1, 5), Y(0, -3), Z(-5, 5) |
D. |
X(5, 5), Y(4, -3), Z(-1, 5) |
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Hint |
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7. |
Find the coordinates of A(7, 4) after it is reflected over the x-axis. |
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A. |
A'(-7, 4) |
B. |
A'(7, 4) |
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C. |
A'(7, -4) |
D. |
A'(-7, -4) |
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Hint |
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8. |
Find the coordinates of the vertices of quadrilateral DEFG after a reflection across the x-axis, then across the y-axis. |
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A. |
D'(-2, 4), E'(1, 4), F'(2, 2), G'(-3, 1) |
B. |
D'(2, -4), E'(-1, -4), F'(-2, -2), G'(3, -1) |
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C. |
D'(-2, -4), E'(1, -4), F'(2, -2), G'(-3, -1) |
D. |
D'(2, 4), E'(-1, 4), F'(-2, 2), G'(3, 1) |
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Hint |
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9. |
If quadrilateral ABCD is rotated 180° counterclockwise, what are the coordinates of D'? |
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A. |
(2, 0) |
B. |
(0, -2) |
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C. |
(0, 2) |
D. |
(-2, 0) |
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Hint |
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10. |
The transformation of  is a_________. |
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A. |
90° clockwise rotation about the origin |
B. |
180° counterclockwise rotation about the origin |
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C. |
reflection across the
x-axis |
D. |
translation of (-6, -2) |
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Hint |
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11. |
A transformation in which the image of a figure is larger or smaller is a_________. |
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A. |
rotation |
B. |
translation |
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C. |
dilation |
D. |
reflection |
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Hint |
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12. |
Find the coordinates of the dilation image for with vertices
D(-1, -1), E(2, 5), and F(3, -2) for the scale factor 3. |
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A. |
D'(2, 2), E'(5, 8), F'(6, 1) |
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B. |
D'(-4, -4), E'(-1, 2), F'(0, -5) |
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C. |
D'(-3, -3), E'(6, 15), F'(9, -6) |
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D. |
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Hint |
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