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1. |
Graph the system of equations to determine whether it has no solution, infinitely many solutions, or one solution. If the system has one solution, name it. 2x - y = 4 x + 2 y = 2 |
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A. |
one solution at (2, 0) |
B. |
one solution at (0, 2) |
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C. |
no solution |
D. |
infinitely many solutions |
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Hint |
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2. |
Use substitution to solve the system of equations. 5x + 5y = -30 2x - y = 15 |
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A. |
infinitely many solutions |
B. |
(3, -9) |
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C. |
no solution |
D. |
(21, 27) |
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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. |
380 adults, 760 children |
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B. |
293 adults, 147 children |
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C. |
220 adults, 220 children |
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D. |
320 adults, 120 children |
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Hint |
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4. |
Use elimination to solve the system given below. 4x + 3y = -20 x + 3y = 4 |
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A. |
 |
B. |
(-8, 4) |
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C. |
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D. |
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Hint |
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5. |
Use elimination to solve the system of equations given below. 3x - 2y = 4 2x + y = -2 |
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A. |
 |
B. |
 |
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C. |
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D. |
(0, -2) |
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Hint |
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6. |
Determine which point is a solution to the system of inequalities by graphing. y > -2x + 6 2x + y -3 |
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A. |
(8, 0) |
B. |
(0, 0) |
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C. |
(-7, 3) |
D. |
no solution |
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Hint |
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7. |
Solve the system of equations given by 5x – 2y = -6 and 15x – 6y = 6. |
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A. |
no solution |
B. |
(-2, -2) |
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C. |
infinitely many solutions |
D. |
(1, 1) |
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Hint |
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8. |
Use elimination to solve the system of equations given by 3x – 2y = 10 and 5x + 2y = 6. |
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A. |
(2, -2) |
B. |
(-2, -8) |
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C. |
infinitely many solutions |
D. |
no solution |
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Hint |
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9. |
A boat travels 30 miles upstream in 4 hours. The trip downstream takes 2.5 hours. Find the rate of the boat in still water. |
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A. |
9.23 mph |
B. |
9.75 mph |
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C. |
2.25 mph |
D. |
6.92 mph |
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Hint |
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10. |
Which point is not in the solution set of y < 7x + 6 and y < -7x + 6. |
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A. |
(0, 2) |
B. |
(1, -5) |
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C. |
(-1, 6) |
D. |
(2, -15) |
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Hint |
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