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1. |
Solve the system of equations 2x + 3y = -7 and x - y = 4 by graphing. |
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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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2. |
The equation 2x - y + 3z = 5 represents _____________ |
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A. |
a plane. |
B. |
a line. |
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C. |
none of these. |
D. |
a circle. |
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Hint |
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3. |
Solve the system of equations by substitution.
x = z
x - 2y + z = 6
2x + y - 2z = 1
What is the value of x + y + z? |
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A. |
8 |
B. |
10 |
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C. |
9 |
D. |
11 |
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Hint |
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4. |
Suppose the triangle ABC with vertices A(1, 2), B(4, 3) and C(-1, 5) is translated 2 units right and 3 units down. Use the translation matrix to find the vertices for A'B'C', the translated image of the triangle. |
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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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5. |
Triangle ABC has vertices A(7, 2), B(3, -1), and C(1, 4). Find the image of the triangle after a reflection over the x-axis. |
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A. |
A'(-7, -2), B'(-3, 1),
C'(-1, -4) |
B. |
A'(7, -2), B'(-1, 3),
C'(-1, -4) |
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C. |
A'(2, 7), B'(-1, 3), C'(4, 1) |
D. |
A'(7, -2), B'(3, 1), C'(1, -4) |
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Hint |
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6. |
Find the inverse of  . |
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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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7. |
Solve the systems of equations by using matrix equations. |
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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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8. |
Choose the best method to solve the system of equations x + y = 2
and y = 3x - 4. |
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A. |
Eliminate x |
B. |
Graphing |
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C. |
Eliminate y |
D. |
Substitution |
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Hint |
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9. |
Find the values of x and y for which the matrix equation is true. |
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A. |
x = 3, y = 2 |
B. |
x = 4, y = 2 |
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C. |
x = 2, y = 3 |
D. |
x = 1, y = 0 |
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Hint |
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10. |
Given A = [3 -2], C =  , find AC. |
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A. |
impossible |
B. |
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C. |
[14 3 13] |
D. |
[-10 -4 -2] |
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Hint |
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11. |
Solve the system of inequalities by graphing.
x + y  4
2x - y < 4
y  0 |
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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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12. |
Name the coordinates of the vertices of the polygonal convex set. |
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A. |
(-4,-1), (-4,3), (-2,4), (4,-2) |
B. |
(-4,-1), (-4,6), (-2,4), (4,-2) |
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C. |
(-4,-1), (-4,3), (-2,-4), (4,-2) |
D. |
(-4,-1), (-4,3), (-2,4), (4,2) |
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Hint |
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13. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y -3x + 1
y  x - 4
x 0
y 0 |
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A. |
alternate optimal solutions |
B. |
infeasible |
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C. |
unbounded |
D. |
2 |
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Hint |
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14. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account with 3% interest. He wants no less than $5,000 in the account with 7% interest. For the equation l(x, y) = 30x + 70y find the maximum interest if the vertices are (3,5), (3,7) and (5,5) |
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A. |
no maximum |
B. |
440 |
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C. |
500 |
D. |
580 |
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Hint |
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