| |
| |
1. |
Solve the system of equations x = 4 and 3x - 4y = 12 by graphing. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
If you solve the following system of equations by elimination, which of the following is the best choice for the first step?
2x + y - z = 3
x + y + z = 5
x - 2y + z = 2
|
| |
|
A. |
Add the first and second equations to eliminate the z variable. |
B. |
Neither method will work. |
| |
|
C. |
Subtract the second and third equation to eliminate the z variable. |
D. |
Both methods will work. |
| |
|
Hint |
|
| |
3. |
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. |
| |
|
A. |
A'(-3, 9), B'(-6, 12),
C'(3, 21) |
B. |
A,/i>'(12, -6), B'(21, 3),
C'(-9, -3) |
| |
|
C. |
A'(21, 3), B'(12, -6),
C'(-9, -3) |
D. |
A'(9, -3), B'(12, -6),
C'(21, 3) |
| |
|
Hint |
|
| |
4. |
Find the image of  after Rot90 · Ry-axis if the vertices are
A(2, -3), B(6, -3), and C(2, 5). |
| |
|
A. |
A'(3, 2), B'(3, 6), C'(5, -2) |
B. |
A'(3, -2), B'(3, -6),
C'(-5, -2) |
| |
|
C. |
A'(-3, 2), B'(-3, 6),
C'(5, 2) |
D. |
A'(-3, -2), B'(-3, -6),
C'(-5, -2) |
| |
|
Hint |
|
| |
5. |
Find the value of  . |
| |
|
A. |
24 |
B. |
-24 |
| |
|
C. |
28 |
D. |
-28 |
| |
|
Hint |
|
| |
6. |
Which of the following describes the system of equations x - 3y + 2 = 0 and
2x - 6y + 4 = 0? |
| |
|
A. |
Consistent and independent |
B. |
none of these |
| |
|
C. |
Inconsistent |
D. |
Consistent and dependent |
| |
|
Hint |
|
| |
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 |
| |
|
A. |
both methods are correct |
B. |
Method I |
| |
|
C. |
neither method is correct. |
D. |
Method II |
| |
|
Hint |
|
| |
8. |
Given A = [3 -2], C =  , find AC. |
| |
|
A. |
 |
B. |
impossible |
| |
|
C. |
[14 3 13] |
D. |
[-10 -4 -2] |
| |
|
Hint |
|
| |
9. |
 |
| |
|
A. |
 |
B. |
impossible |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
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? |
| |
|
A. |
2.5 L of the 0.25 solution and 7.5 L of the 0.40 solution. |
| |
|
B. |
6.66 L of the 0.25 solution and 3.33 L of the 0.40 solution. |
| |
|
C. |
3.33 L of the 0.25 solution and 6.66 L of the 0.40 solution. |
| |
|
D. |
4.5 L of the 0.25 solution and 5.5 L of the 0.40 solution. |
| |
|
Hint |
|
| |
11. |
Solve the system of inequalities by graphing.
x + y  4
2x - y < 4
y  0 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
Name the coordinates of the vertices of the polygonal convex set. |
| |
|
 |
| |
|
A. |
(-4,-1), (-4,3), (-2,4), (4,2) |
B. |
(-4,-1), (-4,3), (-2,-4), (4,-2) |
| |
|
C. |
(-4,-1), (-4,6), (-2,4), (4,-2) |
D. |
(-4,-1), (-4,3), (-2,4), (4,-2) |
| |
|
Hint |
|
| |
13. |
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. |
| |
|
A. |
x 3000
y 5000
x + y 10,000 |
B. |
x 3000
y 5000
x + y 10,000 |
| |
|
C. |
x 5000
y 3000
x + y 10,000 |
D. |
x 3000
y 5000
x + y 10,000 |
| |
|
Hint |
|
| |
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.Graph this system of inequalities. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
|
|