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1. |
Solve the system of equations 2x + 3y = -7 and x - y = 4 by graphing. |
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Hint |
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2. |
If you solve the following system of equations by substitution, which statement is true?
x = z
x - 2y + z = 6
2x + y - 2z = 1
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A. |
You can substitute z for x into the second and third equations. |
B. |
Neither method will work. |
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C. |
You can substitute x for z into the second and third equations. |
D. |
Both methods will work. |
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Hint |
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3. |
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A. |
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B. |
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Hint |
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4. |
If A =  , find -2A. |
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B. |
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Hint |
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5. |
Which of the following shows the system of equations using a matrix equation? |
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Hint |
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6. |
Choose the best method to solve the system of equations x + y = 2
and y = 3x - 4. |
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A. |
Substitution |
B. |
Graphing |
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C. |
Eliminate y |
D. |
Eliminate x |
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Hint |
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7. |
If you are solving this system of equations by elimination, which of the following is the best choice for the first step? 2x + 3y - z = 4
-x + y + 2z = 3
3x + y + z = 1 |
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A. |
neither method is correct. |
B. |
Method I |
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C. |
Method II |
D. |
both methods are correct |
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Hint |
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8. |
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(1.5,2.5), B(-2,2.5), C(-2,-2.5), and D(1.5,-2.5) |
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B. |
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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C. |
A(4.5,7.5), B(-6,7.5), C(-6,-7.5) and D(4.5,-7.5) |
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D. |
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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Hint |
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9. |
Use matrices to determine the coordinates of the image of
 with vertices A(-3,4), B(-5,2) and C(-6,5) once it is rotated 90°. |
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A. |
A'(3,4), B(5,2) and C'(6,5) |
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B. |
A'(-3,-4), B(-5,-2) and C'(-6,-5) |
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C. |
A'(-4,-3), B(-2,-5) and C'(-5,-6) |
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D. |
A'(3,-4), B(5,-2) and C'(6,-5) |
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Hint |
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10. |
Solve this problem using matrix equations.How many liters of 0.25 solution and 0.40 solution should be combined to make 10 liters of 0.35 solution? |
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A. |
2.5 L of the 0.25 solution and 7.5 L of the 0.40 solution. |
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B. |
3.33 L of the 0.25 solution and 6.66 L of the 0.40 solution. |
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C. |
6.66 L of the 0.25 solution and 3.33 L of the 0.40 solution. |
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D. |
4.5 L of the 0.25 solution and 5.5 L of the 0.40 solution. |
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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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B. |
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Hint |
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12. |
Solve the system of inequalities by graphing.
2x + y 3
2x + y -2
y 4
x < 1 |
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B. |
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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. |
2 |
B. |
unbounded |
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C. |
alternate optimal solutions |
D. |
infeasible |
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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 that earns 3% interest. He wants no less than $5,000 in the account with 7% interest. Write a system of inequalities to represent this situation. |
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A. |
x 3000
y 5000
x + y 10,000 |
B. |
x 3000
y 5000
x + y 10,000 |
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C. |
x 3000
y 5000
x + y 10,000 |
D. |
x 5000
y 3000
x + y 10,000 |
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Hint |
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