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1. |
The domain of a relation is all positive integers less than 4. The range of y or the relation is 2 plus x, where x is a number of the domain. Write the relation as a table of values and as an equation. |
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A. |
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B. |
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C. |
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D. |
None of these. |
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Hint |
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2. |
State the domain and range of the relation. |
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A. |
All real numbers are included in the domain, and 3 is included in the range. |
B. |
3 is included in the domain, and all real numbers are included in the range. |
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C. |
3 is included in the domain, and 3 is included in the range. |
D. |
All real numbers are included in the domain and the range. |
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Hint |
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3. |
Which is the graph 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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4. |
Which is the graph of f(x) = [[2x]]? |
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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. |
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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6. |
If you use the elimination method to solve the system of equations
3x - 4y = 9 and 2x + 3y = 7, which of the following would be the best method?
Method I: Multiply both sides of the first equation by 2, and multiply both sides of the second equation by 3. Then add the two equations.
Method II: Multiply both sides of the first equation by 3, and multiply both sides of the second equation by 4. Then add the two equations.
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A. |
Method I |
B. |
Method II |
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C. |
Neither Method I nor Method II is correct. |
D. |
Both Method I and Method II are correct. |
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Hint |
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7. |
The equation 2x - y + 3z = 5 represents _____________ |
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A. |
a plane. |
B. |
none of these. |
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C. |
a circle. |
D. |
a line. |
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Hint |
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8. |
In 1999 Bob scored 824 points as a college basketball player by hitting 372 of his attempts. If he made 60% of his 200 3-point field goal attempts, how many 1-, 2-, and 3-point field goal baskets did he make? |
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A. |
(212, 40, 120) |
B. |
(40, 120, 212) |
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C. |
(40, 212, 120) |
D. |
(120, 40, 212) |
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Hint |
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9. |
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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10. |
Find the value of  . |
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A. |
24 |
B. |
-28 |
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C. |
28 |
D. |
-24 |
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Hint |
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11. |
In shipping, an oversize package is one in which the sum of the length and girth exceeds 100 inches, and also one whose length alone exceeds 70 inches. Which of the following best represents this situation? |
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A. |
l + g > 100, g < 70 |
B. |
l + g < 100, g < 70 |
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C. |
l + g > 100, l > 70 |
D. |
l + g > 100, l < 70 |
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Hint |
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12. |
Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1. |
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A. |
 = 0
 = 2
 = 4 |
B. |
= 2
= 6
= 36 |
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C. |
= 2
= 6
= 12 |
D. |
= 2
= 6
= 42 |
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Hint |
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13. |
Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1). |
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A. |
5x - 3y - 12 = 0 |
B. |
5x + 3y - 12 = 0 |
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C. |
3x + 5y - 50 = 0 |
D. |
5x - 3y - 4 = 0 |
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Hint |
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14. |
What type of relationship does the scatter plot suggest? |
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A. |
no correlation |
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B. |
no linear relationship |
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C. |
a linear relationship with a negative correlation |
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D. |
a linear relationship with a positive correlation |
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Hint |
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15. |
What is the value of y when x = 2? |
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A. |
1 |
B. |
undefined |
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C. |
0 |
D. |
2 |
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Hint |
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16. |
A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee.Graph the fee schedule for different account balances. |
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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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17. |
Choose the best method to solve the system of equations 4x + y = 6
and 2x - y = 10. |
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A. |
Graphing |
B. |
Eliminate y |
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C. |
Substitution |
D. |
Eliminate x |
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Hint |
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18. |
Solve the system of 3 equations by substitution. x = 3y + 2z
2x + 3y + 2z = 3
-x + y - z = 6 |
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A. |
(8, 4, -2) |
B. |
infinite solutions |
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C. |
no solution |
D. |
(1, 3, -4) |
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Hint |
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19. |
Given A = [3 -2], C =  , find AC. |
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A. |
[14 3 13] |
B. |
impossible |
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C. |
[-10 -4 -2] |
D. |
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Hint |
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20. |
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 5000
y 3000
x + y 10,000 |
D. |
x 3000
y 5000
x + y 10,000 |
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Hint |
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