| |
| |
1. |
State the solution for the system of equations 2x + y = -4 and 6x + 3y = 3. |
| |
|
A. |
no solution |
B. |
(-4, 1) |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Solve the system of equations x + y = 4 and y = 5. |
| |
|
A. |
(-9, 5) |
B. |
(-1, 5) |
| |
|
C. |
(9, 5) |
D. |
(1, 5) |
| |
|
Hint |
|
| |
3. |
Solve the system of equations x = 4y and 2x + y = 9 using the substitution method. |
| |
|
A. |
(2, 1) |
B. |
(4, 1) |
| |
|
C. |
(3, 2) |
D. |
(1, 4) |
| |
|
Hint |
|
| |
4. |
Solve the system of equations 2x + y = 2 and x + 2y = 4 by elimination. |
| |
|
A. |
(-4, 8) |
B. |
(-1, -2) |
| |
|
C. |
(2, 2) |
D. |
(0, 2) |
| |
|
Hint |
|
| |
5. |
Locate the image of A after a translation of (-2, 3). |
| |
|
 |
| |
|
A. |
(3, 4) |
B. |
(1, -2) |
| |
|
C. |
(-1, 2) |
D. |
(4, -3) |
| |
|
Hint |
|
| |
6. |
The translation image is shown below. If the preimage was translated (2, 1), what are the coordinates of the preimage vertices? |
| |
|
 |
| |
|
A. |
X(1, 5), Y(0, -3), Z(-5, 5) |
B. |
X(5, 5), Y(4, -3), Z(-1, 5) |
| |
|
C. |
X(5, 3), Y(4, -5), Z(-1, 3) |
D. |
X(1, 3), Y(0, -5), Z(-5, 3) |
| |
|
Hint |
|
| |
7. |
Find the coordinates of A(7, 4) after it is reflected over the x-axis. |
| |
|
A. |
A'(7, -4) |
B. |
A'(7, 4) |
| |
|
C. |
A'(-7, -4) |
D. |
A'(-7, 4) |
| |
|
Hint |
|
| |
8. |
Determine the coordinates of the image of if it is reflected across the y-axis. |
| |
|
 |
| |
|
A. |
J'(-1, -2), K'(1, 1), L'(-3, -1) |
| |
|
B. |
J'(1, -2), K'(1, 1), L'(3, 1) |
| |
|
C. |
J'(-1, 2), K'(1, -1), L'(-3, -1) |
| |
|
D. |
J'(1, 2), K'(-1, -1), L'(3, -1) |
| |
|
Hint |
|
| |
9. |
Quadrilateral ABCD is rotated 90° clockwise about the origin. What are the coordinates of the vertex A? |
| |
|
 |
| |
|
A. |
(-3, -1) |
B. |
(3, -1) |
| |
|
C. |
(-3, 1) |
D. |
(3, 1) |
| |
|
Hint |
|
| |
10. |
What are the coordinates of B' after a counterclockwise rotation about the origin of 180°? |
| |
|
 |
| |
|
A. |
(-1, -3) |
B. |
(-3, 1) |
| |
|
C. |
(-1, 3) |
D. |
(-3, -1) |
| |
|
Hint |
|
| |
11. |
A transformation in which the image of a figure is larger or smaller is a_________. |
| |
|
A. |
reflection |
B. |
translation |
| |
|
C. |
rotation |
D. |
dilation |
| |
|
Hint |
|
| |
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. |
| |
|
A. |
D'(2, 2), E'(5, 8), F'(6, 1) |
| |
|
B. |
 |
| |
|
C. |
D'(-4, -4), E'(-1, 2), F'(0, -5) |
| |
|
D. |
D'(-3, -3), E'(6, 15), F'(9, -6) |
| |
|
Hint |
|
|
|