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1. |
State the solution for the system of equations 2x + y = -4 and 6x + 3y = 3. |
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A. |
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B. |
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C. |
(-4, 1) |
D. |
no solution |
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Hint |
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2. |
Solve the system of equations x + y = 4 and y = 5. |
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A. |
(9, 5) |
B. |
(-1, 5) |
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C. |
(1, 5) |
D. |
(-9, 5) |
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Hint |
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3. |
Use substitution to solve the system of equations x - 4y = 9 and 2x - 3y = 8. |
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A. |
(-4, -3) |
B. |
(1, -2) |
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C. |
(3, 4) |
D. |
(2, -3) |
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Hint |
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4. |
Find the solution for the system of equations 2x - 5y = -20 and 4x + 3y = 12 using the elimination method. |
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A. |
(0, 4) |
B. |
(2, -4) |
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C. |
(5, 4) |
D. |
(-3, 2) |
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Hint |
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5. |
Locate the image of A after a translation of (-2, 3). |
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A. |
(1, -2) |
B. |
(4, -3) |
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C. |
(-1, 2) |
D. |
(3, 4) |
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Hint |
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6. |
Quadrilateral PQRS has vertices P(-1, 3), Q(2, 3), R(3, -4), and S(-3, -3). What are the coordinates of the vertices after a translation of (-1, 2)? |
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A. |
P'(0, 5), Q'(3, 5), R'(4, -2), S'(-2, -1) |
B. |
P'(0, 1), Q'(3, 1), R'(4, -6), S'(-2, -5) |
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C. |
P'(-2, 1), Q'(1, 1), R'(2, -6), S'(-4, -5) |
D. |
P'(-2, 5), Q'(1, 5), R'(2, -2), S'(-4, -1) |
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Hint |
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7. |
What are the coordinates of J if J'(-3, -2) is its reflection across the y-axis? |
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A. |
J(-3, 2) |
B. |
J(3, 2) |
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C. |
J(-3, -2) |
D. |
J(3, -2) |
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Hint |
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8. |
Determine the coordinates of the image of if it is reflected across the y-axis. |
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A. |
J'(-1, 2), K'(1, -1), L'(-3, -1) |
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B. |
J'(1, -2), K'(1, 1), L'(3, 1) |
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C. |
J'(1, 2), K'(-1, -1), L'(3, -1) |
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D. |
J'(-1, -2), K'(1, 1), L'(-3, -1) |
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Hint |
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9. |
Quadrilateral ABCD is rotated 90° clockwise about the origin. What are the coordinates of the vertex A? |
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A. |
(3, -1) |
B. |
(3, 1) |
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C. |
(-3, 1) |
D. |
(-3, -1) |
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Hint |
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10. |
What are the coordinates of B' after a counterclockwise rotation about the origin of 180°? |
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A. |
(-1, 3) |
B. |
(-3, -1) |
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C. |
(-3, 1) |
D. |
(-1, -3) |
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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. |
reflection |
B. |
dilation |
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C. |
rotation |
D. |
translation |
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Hint |
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12. |
Determine the scale factor used in the dilation of a figure if vertex A(9, -18) has the image A'(6, -12). |
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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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