Regents Exam Questions CC.A.REI.6: Solving Linear Systems 1
Page 1
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Name: __________________________________
CC.A.REI.6: Solve systems of linear equations exactly and approximately (e.g.,
with graphs), focusing on pairs of linear equations in two variables.
1 Using the substitution method, Ken solves the
following system of equations algebraically.
Which equivalent equation could Ken use?
1)
2)
3)
4)
2 What is the solution of the system of equations
and
?
1)
2)
3)
4)
3 What is the solution of the following system of
equations?
The solution for this system is
1)
2)
3)
4)
5 When solved graphically, which system of
equations will have exactly one point of
intersection?
1)
2)
3)
1)
2)
3)
4)
and
and
and
and
4 The line represented by the equation
shares a solution point with the
line represented by the table below.
4)
6 Guy and Jim work at a furniture store. Guy is
paid $185 per week plus 3% of his total sales in
dollars, x, which can be represented by
. Jim is paid $275 per week
plus 2.5% of his total sales in dollars, x, which
can be represented by
.
Determine the value of x, in dollars, that will
make their weekly pay the same.
Regents Exam Questions CC.A.REI.6: Solving Linear Systems 1
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1 ANS: 1
2 ANS: 3
REF: 081315ia
REF: 061012ia
3 ANS: 3
REF: 061511ia
4 ANS: 4
REF: 061618ai
5 ANS: 1
In (2) – (4), the equations in each system have equal slope, and therefore do not intersect.
REF: 080529a
6 ANS:
REF: 081427ai