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1. |
Use the substitution method to solve m - n = 7 and 3m + 2n = 6. |
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A. |
(-3, -10) |
B. |
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C. |
(-5, 2) |
D. |
(4, -3) |
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Hint |
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2. |
Solve the system of equations. 
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A. |
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B. |
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3. |
Which is not a point at which a maximum or minimum value of a function could occur for the feasible region? |
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A. |
(0, 3) |
B. |
(-3, 0) |
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C. |
(-3, 6) |
D. |
(1, 5) |
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Hint |
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4. |
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. |
96 = 4b + 7w |
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B. |
96 = 0.80b + 1.20w |
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C. |
f(b, w) = 0.80b + 1.20w |
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D. |
f(b, w) = 4b + 7w |
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Hint |
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5. |
Find an equation of the line that passes through (0, -6) and (5, 3). |
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6. |
Use elimination to solve the system of equations shown below.
2x - 4y = -5
3x + 4y = -15 |
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B. |
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7. |
Determine which point is a solution to the system of inequalities by graphing.
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A. |
(0, 7) |
B. |
(3, 2) |
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C. |
(5, 6) |
D. |
no solution |
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Hint |
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8. |
Which system of inequalities is graphed below? |
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D. |
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9. |
A ticket service is selling tickets to a concert. An order of 4 tickets has a price of $63 and an order of 6 tickets has a price of $92. Write an equation to find the price of any amount of tickets. |
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10. |
Graph the line through (2, 3) that is parallel to the line with equation 3x – y = 2. |
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A. |
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B. |
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11. |
Graph the line through (2, 3) that is perpendicular to the line with equation 2x + 5y = 1. |
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A. |
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B. |
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12. |
What is the slope of the line with equation  |
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A. |
7 |
B. |
-7 |
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D. |
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Hint |
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13. |
Write an equation in slope-intercept form for the line that has a slope of 2 and passes through (-4, -6). |
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A. |
y = 2x + 8 |
B. |
y = 2x - 8 |
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C. |
y = 2x + 2 |
D. |
y = 2x - 2 |
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Hint |
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14. |
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? |
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A. |
278 square yards |
B. |
500 square yards |
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C. |
50 square yards |
D. |
192 square yards |
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Hint |
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15. |
Which of the following systems of equations is inconsistent? |
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A. |
4y – x = 12 3y – 2x = 1 |
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B. |
y = 7x – 2 y = –2x – 5 |
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C. |
y = 2x – 3 y = –3x + 4 |
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D. |
3y + 2x = 13 6y + 4x = 3 |
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Hint |
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16. |
Use substitution to solve the system of equations given by x – 4y = 24 and 3x – 4y = 16. |
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A. |
(-4, -7) |
B. |
(10, 3.5) |
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C. |
(-4, 7) |
D. |
(10, -3.5) |
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Hint |
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17. |
Solve  for x by the method of determinants. |
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B. |
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D. |
11 |
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Hint |
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18. |
Two sides of an angle are contained in lines whose equations are  and  Find the coordinates of the vertex of the angle. Round to the nearest hundredth. |
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A. |
(1.79, 1.06) |
B. |
(2.76, 3.16) |
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C. |
(1.78, -1.16) |
D. |
(1.89, 3.26) |
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Hint |
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