Zusammenfassung der Ressource
Frage 1
Frage
Choose the system of equations that represents the following situation: You buy 5 pairs of socks for $19. The wool socks cost $5 per pair and the cotton socks cost $3 per pair.
Antworten
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x + y = 7 and x + 3y = 19
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x + y = 7 and x + 5y = 19
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x + y = 5 and 3x + 5y = 19
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x - y = 5 and x + y = 19
Frage 2
Frage
You exercised on a treadmill for 1.5 hours. You jogged at 4 miles per hour then sprinted at 6 miles per hour. The treadmill monitor shows that you ran for a total of 7 miles. How long did you run at each speed?
Antworten
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Sprint for 0.5 hours, jog for 1 hour
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Sprint for 1 hour, jog for 0.5 hours
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Sprint for 0.75 hours, jog for 0.75 hours
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Sprint for 0.25 hours, jog for 1.25 hours
Frage 3
Frage
Use elimination to solve the system x - 2y = 4 and 6x + 2y = 10
Antworten
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(-1, 2)
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(1, -2)
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(2, -1)
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(-2, 1)
Frage 4
Frage
Which system of equations has solution (2, 1)?
Antworten
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2x + y = 5 and x - y = 1
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x + y = 0 and 3x + 2y = 1
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2x - 3y = - 7 and 3x + y = - 5
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x + 2y = 1 and 5x - 4y = -23
Frage 5
Frage
Consider the system 4x - 3y = 6 and 6x + y = 10. The first equation is multiplied by 3. By what number would you multiply the second equation in order to eliminate the x variable by adding?
Frage 6
Frage
Solve the system 2x + 3y = 5 and 3x - 2y = 1
Antworten
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(3, 4)
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(1, 1)
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(-2, 3)
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(4, -1)