Regents Exam Questions CC.A.REI.5: Solving Linear Systems
Page 1
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Name: __________________________________
CC.A.REI.5: Prove that, given a system of two equations in two variables,
replacing one equation by the sum of that equation and a multiple of the other
produces a system with the same solutions.
1 Which system of equations has the same
solution as the system below?
1)
2)
4 What is the solution of the system of equations
below?
1)
2)
3)
4)
3)
4)
2 Which pair of equations could not be used to
solve the following equations for x and y?
5 What is the value of A in the following system
of equations?
1)
2)
3)
4)
1
2
3
9
1)
2)
3)
4)
3 What is the value of the y-coordinate of the
solution to the system of equations
and
?
1)
2) 2
3) 3
4)
6 The equations
and
represent the money collected from selling gift
baskets in a school fundraising event. If x
represents the cost for each snack gift basket
and y represents the cost for each chocolate gift
basket, what is the cost for each chocolate gift
basket?
1) $20
2) $25
3) $30
4) $54
Regents Exam Questions CC.A.REI.5: Solving Linear Systems
Page 2
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Name: __________________________________
7 Solve the following system of equations
algebraically:
8 Albert says that the two systems of equations
shown below have the same solutions.
[Only an algebraic solution can receive full
credit.]
Determine and state whether you agree with
Albert. Justify your answer.
Regents Exam Questions CC.A.REI.5: Solving Linear Systems
www.jmap.org
1 ANS: 2
REF: 061414ai
2 ANS: 4
3 ANS: 2
REF: 011621ai
REF: 081021ia
4 ANS: 2
REF: 011410ia
5 ANS: 3
REF: 061609ia
6 ANS: 3
REF: 011519ia
7 ANS:
.
.
Regents Exam Questions CC.A.REI.5: Solving Linear Systems
www.jmap.org
REF: 010937ia
8 ANS:
Agree, as both systems have the same solution.
REF: 061533ai