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1. |
If you use the substitution method to solve the system of equations
3x - 2y = 4 and x + y = 5, which of the following would be the best method?
Method I: Solve the second equation for x, and substitute 5 - y for x into the first equation.
Method II: Solve the second equation for y, and substitute 5 - x for y into the first equation.
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A. |
Neither Method I nor Method II is correct. |
B. |
Method I |
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C. |
Method II |
D. |
Both Method I and Method II are correct. |
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Hint |
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2. |
Which of the following describes the system of equations 2x - y + 4 = 0 and 4x - 2y + 7 = 0? |
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A. |
consistent and dependent |
B. |
consistent and independent |
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C. |
none of these |
D. |
inconsistent |
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Hint |
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3. |
Three planes can |
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A. |
All of the choices are true. |
B. |
have no points in common. |
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C. |
intersect in a line. |
D. |
intersect at one point. |
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Hint |
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4. |
 |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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5. |
A triangle ABC has vertices A(3, -1), B(4, -2), and C(7, 1). Find the coordinates of the dilated triangle for a scale factor of 3. |
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A. |
A,/i>'(12, -6), B'(21, 3),
C'(-9, -3) |
B. |
A'(-3, 9), B'(-6, 12),
C'(3, 21) |
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C. |
A'(9, -3), B'(12, -6),
C'(21, 3) |
D. |
A'(21, 3), B'(12, -6),
C'(-9, -3) |
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Hint |
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6. |
Find the value of  . |
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A. |
3 |
B. |
17 |
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C. |
-17 |
D. |
-3 |
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Hint |
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7. |
Find the inverse of  . |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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8. |
Solve the system of three equations by elimination: 5x + 2y - 3z = 10
2x - 2y + 4z = 6
x - y + 2z = 3
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A. |
infinite solutions |
B. |
no solution |
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C. |
(3, 4, 2) |
D. |
(2, -5, 3) |
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Hint |
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9. |
Given A = [3 -2], C =  , find AC. |
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A. |
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B. |
[-10 -4 -2] |
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C. |
impossible |
D. |
[14 3 13] |
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Hint |
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10. |
Determine the coordinates of a dilated figure with a scale factor of 1.5 if the vertices of the original are A(3,5), B(-4,5), C(-4,-5), and D(3,-5) |
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A. |
A(4.5,7.5), B(-6,7.5), C(-6,-7.5) and D(4.5,-7.5) |
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B. |
A(1.5,2.5), B(-2,2.5), C(-2,-2.5), and D(1.5,-2.5) |
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C. |
A(1.5,3.5), B(-5.5,3.5), C(-5.5,-6.5) and D(1.5,-6.5) |
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D. |
A(4.5,6.5), B(-2.5,6.5), C(-2.5,-3.5) and D(4.5,-3.5) |
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Hint |
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11. |
Find the maximum value of f(x, y) =  x - 4y for the system of inequalities.
2x + y  3
2x + y  -2
y 4
x < 1 |
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A. |
16 |
B. |
-17 |
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C. |
-16 |
D. |
-3 |
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Hint |
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12. |
Find the minimum value of f(x, y) = x - 4y for the system of inequalities.
2x + y 3
2x + y -2
y 4
x < 1 |
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A. |
-3 |
B. |
-16 |
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C. |
16 |
D. |
-17 |
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Hint |
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13. |
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.Graph this system of inequalities. |
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A. |
 |
B. |
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C. |
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D. |
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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. |
500 |
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C. |
440 |
D. |
580 |
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Hint |
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