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1. |
The system of equations on the graph shown is |
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A. |
inconsistent. |
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B. |
consistent and dependent. |
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C. |
consistent. |
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D. |
consistent and independent. |
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Hint |
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2. |
The equations y = -0.38x + 56.6 and y = 0.38x + 43.4 represent the percent of men and women, respectively, receiving bachelor's degrees, where x is the number of years since 1968. In approximately what year did the same percent of men and women receive bachelor's degrees? |
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A. |
1995 |
B. |
1980 |
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C. |
1985 |
D. |
1990 |
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Hint |
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3. |
Solve the system of inequalities by graphing. 
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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4. |
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. The system of inequalities that represents this problem is graphed below. Which ordered pair is not a vertex of the feasible region? |
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A. |
(20, 0) |
B. |
(0, 5) |
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C. |
(15, 0) |
D. |
(0, 0) |
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Hint |
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5. |
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 the function that describes the cost of the quilt. |
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A. |
f(b, w) = 0.80b + 1.20w |
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B. |
96 = 0.80b + 1.20w |
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C. |
f(b, w) = 4b + 7w |
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D. |
96 = 4b + 7w |
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Hint |
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6. |
A graph of a system of three linear equations in three variables is shown below. How many solutions does the system have? |
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A. |
infinite number |
B. |
2 |
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C. |
0 |
D. |
1 |
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Hint |
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7. |
Which of the following systems of equations is not consistent and independent? |
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A. |
y + 4x = 10 6y + 24x = 60 |
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B. |
7y + x = 9 3y + 9x = 4 |
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C. |
–y – 5x = 1 4y + 3x = 8 |
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D. |
2y + 4x = 3 7y + 5x = 18 |
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Hint |
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8. |
Solve the system of equations 3x – 5y = 4
–2x + 4y = 3. |
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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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9. |
Which point is not in the solution set of  |
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A. |
(9, –1) |
B. |
(14, –3) |
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C. |
(1, –1) |
D. |
(6, 1) |
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Hint |
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10. |
At a firm, there are three workers that are supposed to work a combined 110 hours per week. Worker 1 gets paid $10 per hour, worker 2 gets paid $12 per hour, and worker 3 gets paid $14 per hour. If the company wants their total income to be $1268, how many hours should each one work if worker 3 and worker 2 work for the same amount of hours? |
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A. |
worker 1: 44worker 2: 33worker 3: 33 |
B. |
worker 1: 14worker 2: 48worker 3: 48 |
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C. |
worker 1: 54worker 2: 28worker 3: 28 |
D. |
worker 1: 40worker 2: 35worker 3: 35 |
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Hint |
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