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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. |
no solution |
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C. |
one solution at (0, 2) |
D. |
infinitely many solutions |
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Hint |
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2. |
Use substitution to solve the system of equations given below.
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A. |
infinitely many solutions |
B. |
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C. |
(-5, 5) |
D. |
no solution |
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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. |
220 adults, 220 children |
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C. |
320 adults, 120 children |
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D. |
293 adults, 147 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. |
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B. |
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C. |
(-8, 4) |
D. |
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Hint |
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5. |
Use elimination to solve the system given below. 5x - 2y = 25 5x + 3y = 5 |
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A. |
(4, -5) |
B. |
(13, 20) |
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C. |
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D. |
(3, -5) |
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Hint |
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6. |
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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7. |
Use elimination to solve the system of equations given below. 3x + 4y = -12 x - y = 10 |
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A. |
(52, 42) |
B. |
(28, 18) |
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C. |
(4, -6) |
D. |
(-4, -14) |
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Hint |
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8. |
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. |
no solution |
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C. |
(0, 0) |
D. |
(-7, 3) |
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Hint |
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9. |
Which system of inequalities 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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10. |
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. |
no solution |
B. |
infinitely many solutions |
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C. |
one solution at (-6, 0) |
D. |
one solution at  |
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Hint |
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