| |
| |
1. |
Find the zero of the function f(x) = -8x + 4. |
| |
|
A. |
-2 |
B. |
 |
| |
|
C. |
2 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Write an equation in slope-intercept form for the line with a slope of and a y-intercept of -3. |
| |
|
A. |
y = x - 3 |
B. |
y = x + 3 |
| |
|
C. |
y = x - 3 |
D. |
y = x + 3 |
| |
|
Hint |
|
| |
3. |
Using the equation y = 50x + 50, predict y when x = 6. |
| |
|
A. |
400 |
B. |
300 |
| |
|
C. |
350 |
D. |
250 |
| |
|
Hint |
|
| |
4. |
Which is the graph of ?
|
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
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.
|
| |
|
A. |
Method II |
B. |
Method I |
| |
|
C. |
Neither Method I nor Method II is correct. |
D. |
Both Method I and Method II are correct. |
| |
|
Hint |
|
| |
6. |
Solve the system of equations x = 4 and 3x - 4y = 12 by graphing. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
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. |
| |
|
A. |
A'(7, -2), B'(3, 1), C'(1, -4) |
B. |
A'(7, -2), B'(-1, 3), C'(-1, -4) |
| |
|
C. |
A'(2, 7), B'(-1, 3), C'(4, 1) |
D. |
A'(-7, -2), B'(-3, 1), C'(-1, -4) |
| |
|
Hint |
|
| |
8. |
Suppose a figure is animated to spin around a certain point. If the image has key points as A(2, 1), B(3, 5) and C(6, 2), and the rotation is about the origin, find the location of these points at a 270° counterclockwise rotation. |
| |
|
A. |
A'(-1, 2), B'(-5, 3), C'(-2, 6) |
B. |
A'(1, -2), B'(5, -3), C'(2, -6) |
| |
|
C. |
A'(1, -2), B'(-5, 3), C'(-2, 6) |
D. |
A'(-2, -1), B'(-3, -5), C'(-6, -2) |
| |
|
Hint |
|
| |
9. |
Find the value of . |
| |
|
A. |
24 |
B. |
-28 |
| |
|
C. |
-24 |
D. |
28 |
| |
|
Hint |
|
| |
10. |
The graph of the system of inequalities is shown below. Name the coordinates of the vertices of the polygonal set. |
| |
|
 |
| |
|
 |
| |
|
A. |
(0, 0), (2, 0), and (2, 6) |
B. |
(1, -4), (3, 0), and (0, 1) |
| |
|
C. |
(-1, 1), (-1, 4), and (2, 1) |
D. |
(1, -1), (-1, 3), and (2, 1) |
| |
|
Hint |
|
| |
11. |
Find a linear equation that can be used as a model for the data shown. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
Determine whether 3x - 5y + 1 = 0 and 6x - 10y + 2 = 0 are parallel, coinciding, or neither. |
| |
|
A. |
parallel |
B. |
all are correct |
| |
|
C. |
coinciding |
D. |
perpendicular |
| |
|
Hint |
|
| |
13. |
Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1). |
| |
|
A. |
5x - 3y - 12 = 0 |
B. |
3x + 5y - 50 = 0 |
| |
|
C. |
5x + 3y - 12 = 0 |
D. |
5x - 3y - 4 = 0 |
| |
|
Hint |
|
| |
14. |
Ilene analyzed her test scores and determined the equation of the best-fit line was y = 4.25x + 72. Predict her score for the 5th test. |
| |
|
A. |
88.75 |
B. |
93.25 |
| |
|
C. |
98.5 |
D. |
72.5 |
| |
|
Hint |
|
| |
15. |
Determine two points that appear to represent the data in the scatter plot. Then find and interpret the slope. |
| |
|
 |
| |
|
A. |
Paul's test scores improve an average of 5 points with each test. |
| |
|
B. |
Paul's test scores are neither increasing nor decreasing. |
| |
|
C. |
Paul's test scores improve an average of 15 points with each test. |
| |
|
D. |
Paul's test scores improve an average of 3 points with each test. |
| |
|
Hint |
|
| |
16. |
What is the value of y when x = 2? |
| |
|
 |
| |
|
A. |
0 |
B. |
2 |
| |
|
C. |
1 |
D. |
undefined |
| |
|
Hint |
|
| |
17. |
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
impossible |
D. |
 |
| |
|
Hint |
|
| |
18. |
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
impossible |
D. |
 |
| |
|
Hint |
|
| |
19. |
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 |
| |
|
A. |
16 |
B. |
-3 |
| |
|
C. |
-17 |
D. |
-16 |
| |
|
Hint |
|
| |
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. |
| |
|
A. |
x 3000 y 5000 x + y 10,000 |
B. |
x 5000 y 3000 x + y 10,000 |
| |
|
C. |
x 3000 y 5000 x + y 10,000 |
D. |
x 3000 y 5000 x + y 10,000 |
| |
|
Hint |
|
|