| |
| |
1. |
Kurt is saving to buy a new computer. The computer he wants costs $1299. He has already saved $732. Write an inequality to determine the least amount he must still save. |
| |
|
A. |
1299 + s 732 |
B. |
732 + s 1299 |
| |
|
C. |
1299 + s 732 |
D. |
732 + s 1299 |
| |
|
Hint |
|
| |
2. |
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 106 |
B. |
25w 294 |
| |
|
C. |
25w 794 |
D. |
25w 500 |
| |
|
Hint |
|
| |
3. |
Students from the local high school are selling tickets to the town's annual carnival. Adult admission is $5.00 and child admission is $2.50. Two hours after the carnival opened its first day, 440 tickets had been sold totaling $1900. How many adults and how many children entered the carnival during the first two hours it was open? |
| |
|
A. |
380 adults, 760 children |
| |
|
B. |
293 adults, 147 children |
| |
|
C. |
320 adults, 120 children |
| |
|
D. |
220 adults, 220 children |
| |
|
Hint |
|
| |
4. |
The sum of two numbers is 36. Twice the first number minus the second is 6. Find the numbers. |
| |
|
A. |
(10, 26) |
B. |
(30, 6) |
| |
|
C. |
(42, 6) |
D. |
(14, 22) |
| |
|
Hint |
|
| |
5. |
Solve the system of equations y = 3x + 4 and by graphing. |
| |
|
A. |
 |
B. |
(-3, -5) |
| |
|
C. |
 |
D. |
(3, 5) |
| |
|
Hint |
|
| |
6. |
What is the equation of the graph shown? |
| |
|
 |
| |
|
A. |
y = x2 - 2x + 1 |
B. |
y = -x2 +2x - 1 |
| |
|
C. |
y = -x2 - 2x - 1 |
D. |
y = x2 + 2x + 1 |
| |
|
Hint |
|
| |
7. |
What is the equation of the graph shown? |
| |
|
 |
| |
|
A. |
f(x) = -2x2 + 2x + 1 |
| |
|
B. |
f(x) = 2x2 + 2x + 1 |
| |
|
C. |
f(x) = -2x2 + 2x - 1 |
| |
|
D. |
f(x) = 2x2 - 2x + 1 |
| |
|
Hint |
|
| |
8. |
Find the situation that involves a decreasing linear relationship and has direct variation. |
| |
|
A. |
A bucket that begins at ground level and is lowered into a well at a rate of 1 foot per second. |
| |
|
B. |
The temperature that begins at 0°F at 6:00 a.m. rises 3°F every hour for 6 hours. |
| |
|
C. |
An airplane that begins at 20,000 feet and descends for a landing on the ground at the airport. |
| |
|
D. |
A submarine that begins at the bottom of the ocean and is raised to the surface of the water at 15 meters per second. |
| |
|
Hint |
|
| |
9. |
What is the equation of a line that has a slope of 4 and passes through (6, 3)? |
| |
|
A. |
y = 4x – 3 |
B. |
y = 4x – 7 |
| |
|
C. |
y = 4x – 27 |
D. |
y = 4x – 21 |
| |
|
Hint |
|
| |
10. |
Find the graph of y = x2. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
Which equation is in the same family as y = x2? |
| |
|
A. |
y = x2 – 3 |
B. |
y = x3 – 3 |
| |
|
C. |
y = 2x2 – 3 |
D. |
y = 2x – 3 |
| |
|
Hint |
|
| |
12. |
What is the reciprocal of ? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
Find which equation does not represent a reciprocal relationship. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
–6 = ef |
D. |
ab = 3 |
| |
|
Hint |
|
| |
14. |
How many counterexamples are needed to prove a conjecture wrong? |
| |
|
A. |
2 |
B. |
4 |
| |
|
C. |
3 |
D. |
1 |
| |
|
Hint |
|
| |
15. |
Which equation represents exponential growth? |
| |
|
A. |
y = 250 × 4x |
B. |
y = 250 × 0.25x |
| |
|
C. |
y = 250 · x |
D. |
y = 250 × 0.4c |
| |
|
Hint |
|
| |
16. |
Which curve represents exponential decay? |
| |
|
 |
| |
|
A. |
curve b |
B. |
curve c |
| |
|
C. |
curve a |
D. |
curve d |
| |
|
Hint |
|
| |
17. |
Find a solution to the equation using backtracking.
 |
| |
|
A. |
a = 2 |
B. |
a = –2 |
| |
|
C. |
a = 3 |
D. |
a = 5 |
| |
|
Hint |
|
| |
18. |
Find a solution to the equation by doing the same thing to both sides. 3 – 6m = 5 – 7m |
| |
|
A. |
m = 2 |
B. |
m = –5 |
| |
|
C. |
m = 0 |
D. |
m = –2 |
| |
|
Hint |
|
| |
19. |
Toby needs to create a rectangular pen for his dog. He decides that the area of the pen will be 100 square feet with its length 2 feet longer than its width. What are the dimensions of Toby's pen approximated to the nearest hundredth? |
| |
|
A. |
length 11.05 ft width 9.05 ft |
| |
|
B. |
length 10.32 ft width 8.32 ft |
| |
|
C. |
length 10.58 ft width 8.58 ft |
| |
|
D. |
length 10.00 ft width 10.00 ft |
| |
|
Hint |
|
| |
20. |
Use substitution or elimination to solve the system of equations. x + 2y = 6 x – 3y = –4 |
| |
|
A. |
(–2, –2) |
B. |
(–2, 2) |
| |
|
C. |
(2, 2) |
D. |
(2, –2) |
| |
|
Hint |
|
|
|