| |
| |
1. |
An 18-foot ladder is placed 6 feet from the wall. Approximately how high does the ladder reach? |
| |
|
 |
| |
|
A. |
19 ft |
B. |
12 ft |
| |
|
C. |
17.8 ft |
D. |
17.0 ft |
| |
|
Hint |
|
| |
2. |
Name the multiplicative inverse of 5. |
| |
|
A. |
-5 |
B. |
50 |
| |
|
C. |
0.2 |
D. |
20 |
| |
|
Hint |
|
| |
3. |
Solve |4x + 2| + 6 = 0. |
| |
|
A. |
2 |
B. |
 |
| |
|
C. |
-2 |
D. |
1 |
| |
|
Hint |
|
| |
4. |
Solve 4x > 28. |
| |
|
A. |
{x | x > 28} |
B. |
{x | x < 7} |
| |
|
C. |
{x | x < 4} |
D. |
{x | x > 7} |
| |
|
Hint |
|
| |
5. |
Choose the graph of  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
State the solution of the system of equations graphed below. |
| |
|
 |
| |
|
A. |
(3, 1) |
B. |
(-1, 3) |
| |
|
C. |
(0, 3) |
D. |
(3, -1) |
| |
|
Hint |
|
| |
7. |
A feasible region has vertices at (4, 6), (-2, 3), (2, -2), and (3, 1). At which point is the maximum value of the function f(x, y) = 2x + y? |
| |
|
A. |
f(2, -2) |
B. |
f(3, 1) |
| |
|
C. |
f(4, 6) |
D. |
f(-2, 3) |
| |
|
Hint |
|
| |
8. |
Find the minimum value of f(x, y) = 4x - 2y for the polygonal region determined by the feasible region. |
| |
|
 |
| |
|
A. |
-14 |
B. |
27 |
| |
|
C. |
-28 |
D. |
14 |
| |
|
Hint |
|
| |
9. |
Find the value of 63. |
| |
|
A. |
36 |
| |
|
B. |
216 |
| |
|
C. |
729 |
| |
|
D. |
18 |
| |
|
Hint |
|
| |
10. |
Josh has 40 minutes to complete a government exam. There are 15 multiple-choice questions worth 3 points each. There are also 5 short-answer questions worth 11 points each. It takes about 2 minutes for Josh to answer the multiple-choice questions m and about 8 minutes to complete the short-answer questions s. Which inequality is not part of the system of inequalities that represents the problem? |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
11. |
Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena wants to keep costs at a minimum. Write an inequality that expresses the total number of squares to be sewn. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
Choose the line whose slope is undefined. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
Identify the multiplicative inverse of 2.5. |
| |
|
A. |
0.5 |
B. |
0.25 |
| |
|
C. |
0.4 |
D. |
5.2 |
| |
|
Hint |
|
| |
14. |
Solve the equation x – 82 = 143 |
| |
|
A. |
 |
B. |
-61 |
| |
|
C. |
61 |
D. |
225 |
| |
|
Hint |
|
| |
15. |
Evaluate | 5 (a – 2b) + 3 | if a = -3 and b = 7. |
| |
|
A. |
82 |
B. |
85 |
| |
|
C. |
88 |
D. |
-85 |
| |
|
Hint |
|
| |
16. |
If Molly's car gets 24 miles for each gallon of gasoline, and she has 8 gallons of gasoline in her tank, how far can she drive before having to stop and get gas? |
| |
|
A. |
192 miles |
B. |
96 miles |
| |
|
C. |
24 miles |
D. |
3 miles |
| |
|
Hint |
|
| |
17. |
The Waxmans just opened a carpet store. Their startup costs were $5000, and their cost of carpet is $8 per square yard. How many square yards of carpet do they need to sell in order to break even if they sell the carpet for $18 per square yard? |
| |
|
A. |
192 square yards |
B. |
278 square yards |
| |
|
C. |
500 square yards |
D. |
50 square yards |
| |
|
Hint |
|
| |
18. |
Which is true for the following system of equations?
3x - y = 1 x + 2y = 7. |
| |
|
A. |
cannot be determined from information given |
B. |
y > x |
| |
|
C. |
y = x |
D. |
y < x |
| |
|
Hint |
|
| |
19. |
Which graph represents the following system:  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
20. |
Solve the system 4y – 6x + 8z = 13, 10y – 15x + 20z = 6, y – 5x + 2z = 5. |
| |
|
A. |
infinite solutions |
B. |
 |
| |
|
C. |
no solution |
D. |
(-3, 1, 7) |
| |
|
Hint |
|
|
|