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1. |
Which equation has a graph perpendicular to the graph 3y = 2x - 9? |
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A. |
3x + 2y = 7 |
B. |
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C. |
y = 2x + 5 |
D. |
2x + 3y = 4 |
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Hint |
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2. |
Which system of equations is graphed below? |
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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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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? |
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A. |
320 adults, 120 children |
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B. |
380 adults, 760 children |
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C. |
220 adults, 220 children |
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D. |
293 adults, 147 children |
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Hint |
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4. |
Brenda and Amparo left their homes for their morning runs at the same time. Brenda can run a 10-minute mile and Amparo can run a 12-minute mile. Combined, they ran 15 miles in a total of 2 hours and 42 minutes (162 minutes). How many miles did each woman run? |
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A. |
Brenda ran 11 miles; Amparo ran 4 miles. |
B. |
Brenda ran 9 miles; Amparo ran 6 miles |
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C. |
Brenda ran 10 miles; Amparo ran 5 miles |
D. |
Brenda ran 8 miles; Amparo ran 7 miles |
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Hint |
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5. |
Use elimination to solve the system of equations shown below.
2x - 4y = -5
3x + 4y = -15 |
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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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6. |
Use elimination to solve the system given below.
5x - 2y = 25
5x + 3y = 5 |
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A. |
(3, -5) |
B. |
(4, -5) |
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C. |
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D. |
(13, 20) |
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Hint |
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7. |
Which is the graph of the system of equations?
x + y = 4
2x - y = 2 |
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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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8. |
Line segment  has endpoints A(-6, -3) and B(2, 1). Line segment  has endpoints C(-4, 8) and D(3, -6). Is perpendicular to ? Why? |
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A. |
No, the lines intersect but not at right angles. |
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B. |
No, the lines are parallel. |
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C. |
Yes, the slopes are negative reciprocals. |
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D. |
Yes, the slopes are opposites. |
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Hint |
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9. |
Vince and Brian each need two kinds of items at the store. Vince bought 10 of item A and 14 of item B, and spent $97. Brian bought 8 of item A and 25 of item B, and spent $119. How much did each item cost? |
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A. |
item A = $1.14
item B = $2.10 |
B. |
item A = $5.50
item B = $3 |
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C. |
item A = $3
item B = $5.50 |
D. |
item A = $2.10
item B = $1.14 |
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Hint |
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10. |
Two sides of an angle are contained in lines whose equations are 6x + 4y = 15 and 7x – 9y = 3. Find the coordinates of the vertex of the angle. Round to the nearest hundredth. |
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A. |
(147, 87) |
B. |
(1.79, 1.06) |
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C. |
(–147, –87) |
D. |
(–1.79, 1.06) |
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Hint |
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11. |
Use graphing to solve the system of inequalities given by y < x + 1 and  |
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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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12. |
Which point is not in the solution set of  and  |
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A. |
(4, 11) |
B. |
(-1, -2) |
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C. |
(5, 0) |
D. |
(0, 0) |
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Hint |
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13. |
A geometrical representation of a map is called a ______?______. |
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A. |
coordinate plane |
B. |
chart |
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C. |
pattern |
D. |
directed graph |
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Hint |
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14. |
Which city or cities are there exactly three ways in which supplies can be transferred from other cities? |
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A. |
Providence |
B. |
Providence and Boston |
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C. |
Providence and Worcester |
D. |
Worcester and Boston |
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Hint |
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