| |
| |
1. |
Sarah must maintain a balance of at least $500 in her checking account to avoid finance charges. If her current balance is $794, write an inequality to determine how many times she can withdraw $25 for shopping without paying finance charges. |
| |
|
A. |
25w 794 |
B. |
25w 500 |
| |
|
C. |
25w 106 |
D. |
25w 294 |
| |
|
Hint |
|
| |
2. |
Determine the slope of the line that passes through (2, 2) and (5, 8). |
| |
|
A. |
2 |
B. |
 |
| |
|
C. |
-2 |
D. |
 |
| |
|
Hint |
|
| |
3. |
A line of best-fit should not be drawn for which of the following graphs. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
Simplify Assume the denominator is not equal to zero. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Evaluate . Express the result in scientific notation. |
| |
|
A. |
8.0 × 10-7 |
B. |
0.8 × 10-8 |
| |
|
C. |
8.0 × 10-9 |
D. |
80 × 10-8 |
| |
|
Hint |
|
| |
6. |
What is the solution of the system of equations shown below? |
| |
|
 |
| |
|
A. |
(0, -3) |
B. |
(1, -2) |
| |
|
C. |
(3, 0) |
D. |
(0, 0) |
| |
|
Hint |
|
| |
7. |
Determine whether the number is rational or irrational. |
| |
|
A. |
neither |
B. |
both |
| |
|
C. |
irrational |
D. |
rational |
| |
|
Hint |
|
| |
8. |
Find the situation that is linear but does not have direct variation. |
| |
|
A. |
At the beginning of the summer, Dina had $200 in the bank. She started a job and deposited $10 per week. |
| |
|
B. |
At the beginning of the summer, Dina had $200 in the bank. She withdrew $30 to buy a new pair of shorts. |
| |
|
C. |
At the beginning of the summer, Dina had $0 in the bank. She earned $50 mowing lawns the previous week and deposited the money in the bank. |
| |
|
D. |
At the beginning of the summer, Dina had $0 in the bank. She started a job and deposited $10 per week. |
| |
|
Hint |
|
| |
9. |
Which three points are collinear? |
| |
|
A. |
(–5, 2), (1, 1), (4, 4) |
| |
|
B. |
(3, –1), (2, 5), (2, –3) |
| |
|
C. |
(–4, 4), (0, –4), (–1, –2) |
| |
|
D. |
(1, 2), (–3, –2), (–2, –4) |
| |
|
Hint |
|
| |
10. |
What is the lowest point on the graph of y = x2 + 2? |
| |
|
A. |
(0, 0) |
B. |
(2, 0) |
| |
|
C. |
(0, 2) |
D. |
(0, –2) |
| |
|
Hint |
|
| |
11. |
Which equation is in the same family as y = x2? |
| |
|
A. |
y = 2x – 3 |
B. |
y = x3 – 3 |
| |
|
C. |
y = x2 – 3 |
D. |
y = 2x2 – 3 |
| |
|
Hint |
|
| |
12. |
Describe how the graph of y = (x + 1)2 differs from the graph of y = x2. |
| |
|
A. |
the graph of y = (x + 1)2 moved 1 unit to the left |
| |
|
B. |
the graph of y = (x+1)2 moved 1 unit to the right |
| |
|
C. |
the graph of y = (x + 1)2 moved up 1 unit |
| |
|
D. |
the graph of y = (x + 1) 2 moved down 1 unit |
| |
|
Hint |
|
| |
13. |
Two friends are playing catch with a baseball. The ball's flight can be modeled by the equation y = 1 + 0.6x – 0.08x2, in meters. What is the height of the ball at its highest point? |
| |
|
A. |
2.13 m |
B. |
3.78 m |
| |
|
C. |
18.8 m |
D. |
1 m |
| |
|
Hint |
|
| |
14. |
Consider the equation . What happens to the value of y when x is divided by 4? |
| |
|
A. |
y is added to 4 |
| |
|
B. |
y is divided by 4 |
| |
|
C. |
y is subtracted from 4 |
| |
|
D. |
y is multiplied by 4 |
| |
|
Hint |
|
| |
15. |
How does b affect graphs of equations in the form of ? |
| |
|
A. |
positive values of b move the graph to the left, negative values move it to the right |
| |
|
B. |
b affects the length of the graph |
| |
|
C. |
b affects the width of the graph |
| |
|
D. |
negative values of b move the graph to the left, positive values move it to the right |
| |
|
Hint |
|
| |
16. |
Identify the growth factor in the equation p = 682,363 × 1.08n where p is the population and n is the number of years after 2001. |
| |
|
A. |
1.08 |
B. |
p |
| |
|
C. |
n |
D. |
682,363 |
| |
|
Hint |
|
| |
17. |
Julian said, ''I'm thinking of a number. When I add 3 to my number, multiply the sum by 12, divide the product by 8, and subtract the result by 7, I get 11. What is the number I'm thinking of?'' |
| |
|
A. |
9 |
B. |
7 |
| |
|
C. |
10 |
D. |
8 |
| |
|
Hint |
|
| |
18. |
John and Margaret have both ridden on the roller coaster called The Scream. Margaret has ridden it eight more than three times the number than John has. She also has ridden it five times the number John has. How many times has John ridden The Scream? |
| |
|
A. |
3 |
B. |
6 |
| |
|
C. |
4 |
D. |
20 |
| |
|
Hint |
|
| |
19. |
How could you use the graph of h = 20t – 6t2 to estimate the solution(s) of 20t – 6t2 = 7, where h stands for height and t stands for time? |
| |
|
 |
| |
|
A. |
Draw a horizontal line at h = 7 and find where it intersects the curve. |
| |
|
B. |
Draw a vertical line at t = 7 and find where it intersects the curve. |
| |
|
C. |
Draw a horizontal line at h = 20 and find where it intersects the curve. |
| |
|
D. |
Draw a vertical line at t = 20 and find where it intersects the curve. |
| |
|
Hint |
|
| |
20. |
A ball is launched straight up from ground level modeling the equation h = 52t – 10t2, where h stands for height in meters and t stands for time. What is the approximate value of t when the ball hits the ground? |
| |
|
A. |
2.6 seconds |
B. |
6.0 seconds |
| |
|
C. |
5.2 seconds |
D. |
0 seconds |
| |
|
Hint |
|
|
|