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Key Quiz 5.2
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1
Substitution is the best method for solving the linear system
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because:
A)…one of the equations has a fractional coefficient.
B)…both lines have negative slopes.
C)…the first equation is different from the second one.
D)…one of the variables is already isolated in one of the equations.
2
Solve the system
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by using substitution.
A)(x, y) = (3, 2)
B)(x, y) = (2, 3)
C)(x, y) = (6, –3)
D)(x, y) = (14, –15)
3
Solve the system
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by using substitution.
A)(x, y) = (4, –1)
B)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070977682/448198/mhr_fom10_key5_2_q3_b.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (2.0K)</a>
C)(x, y) = (–1, 4)
D)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070977682/448198/mhr_fom10_key5_2_q3_d.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>
4
Use substitution to solve this problem: Logan wants to sell t-shirts to raise money for charity. Buying the t-shirts costs a flat fee of $225 plus $10 per shirt. If Logan plans to charge $25 per shirt, how many t-shirts will he have to sell to break even?
A)15 t-shirts
B)23 t-shirts
C)45 t-shirts
D)90 t-shirts
5
When trying to solve the system
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by using substitution, something unusual happens. What is it, and what does it mean?
A)Nothing unusual happens; the solution is (x, y) = (2, –7).
B)I end up trying to solve the equation 0x = 5, which has no solution; therefore, the lines are parallel and there is no solution.
C)I end up trying to solve the equation 0y = -2 , which has no solution; therefore, the lines are parallel and there is no solution.
D)I end up having to solve either 0x = 0 or 0y = 0. Since these equations have an infinite number of solutions, the lines are actually the same and there are an infinite number of solutions.





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