AnswersAG Q3 Math 8 25-26 JTurnerRewriting Equations to Use Substitution

Rewriting Equations to Use Substitution Answers

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1
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In the system of equations, which variable would it be easiest to solve for?

Question illustration
A
The easiest to solve for is x in the first equation.
B
The easiest to solve for is y in the first equation.
C
The easiest to solve for is x in the second equation.
D
The easiest to solve for is y in the second equation.
3

In his pocket, Hamid has $2.95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has?

A
x + y = 16. 0.10 x + 0.25 y = 2.95.
Option A
B
x + y = 16. 0.05 x + 0.25 y = 2.95.
Option B
C
x + y = 2.95. 0.10 x + 0.25 y = 16.
Option C
D
x + y = 16. 0.01 x + 0.25 y = 2.95.
Option D
4

Herky was given the following system of equations to solve.What is the solution to the system?

Question illustration
A
(2, 7)
Option A
B
(StartFraction 20 Over 7 EndFraction, StartFraction 67 over 7 EndFraction)
Option B
C
(7, 2)
Option C
D
(StartFraction 67 Over 7 EndFraction, StartFraction 20 Over 7 EndFraction)
Option D
5

Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner. Which variable should he choose so that he can use substitution to solve the system?

Question illustration
A
Jon should solve for y in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.
B
Jon should solve for x in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.
C
Jon should solve for y in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.
D
Jon should solve for x in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.
7

Which is true regarding the system of equations?

Question illustration
A
The system results in a false statement.
B
The system results in an intersection at one point.
C
The system results in parallel lines.
D
The system results in a true statement because they are the same line.
10

What is the solution to the system of equations below?

Question illustration
A
(Negative 7, 24)
Option A
B
(3, 4)
Option B
C
(4, 3)
Option C
D
(24, Negative 7)
Option D

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