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1. |
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. |
293 adults, 147 children |
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B. |
320 adults, 120 children |
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C. |
220 adults, 220 children |
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D. |
380 adults, 760 children |
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Hint |
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2. |
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 9 miles; Amparo ran 6 miles |
B. |
Brenda ran 8 miles; Amparo ran 7 miles |
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C. |
Brenda ran 11 miles; Amparo ran 4 miles. |
D. |
Brenda ran 10 miles; Amparo ran 5 miles |
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Hint |
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3. |
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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D. |
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Hint |
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4. |
Use elimination to solve the system of equations given below.
x + 3y = 6
2x - 6y = 8 |
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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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5. |
Which graph is the graph of the system of inequalities?
y > 2x
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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. |
Determine which point is a solution to the system of inequalities by graphing.
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A. |
(0, 7) |
B. |
no solution |
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C. |
(3, 2) |
D. |
(5, 6) |
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Hint |
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7. |
Use the graph below to determine if the given system of equations has one solution, no solution, or infinitely many solutions. If the system has one solution, name it.
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A. |
one solution at (-6, 0) |
B. |
infinitely many solutions |
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C. |
one solution at  |
D. |
no solution |
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Hint |
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8. |
Solve the system of equations given by y = 2x + 2 and  . |
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A. |
infinitely many solutions |
B. |
(4, -6) |
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C. |
(-3, -4) |
D. |
no solution |
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Hint |
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9. |
Use elimination to solve the system of equations given by –7x + 3y = 14 and 7x – 2y = -11. |
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A. |
infinitely many solutions |
B. |
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C. |
no solution |
D. |
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Hint |
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10. |
Use elimination to solve the system of equations given by 8x – 4y = -20 and 10x – 5y = 35. |
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A. |
no solution |
B. |
(0, 0) |
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C. |
(-12, -12) |
D. |
infinitely many solutions |
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Hint |
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