A.REI.1.IdentifyingProperties

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Regents Exam Questions CC.A.REI.1: Identifying Properties
Page 1
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Name: __________________________________
CC.A.REI.1: Explain each step in solving a simple equation as following from the
equality of numbers asserted at the previous step, starting from the assumption that the
original equation has a solution. Construct a viable argument to justify a solution method
(linear).
1 When solving the equation
, Emily wrote
as her first step. Which
property justifies Emily's first step?
1) addition property of equality
2) commutative property of addition
3) multiplication property of equality
4) distributive property of multiplication over
addition
2 When solving for the value of x in the equation
, Aaron wrote the following
lines on the board.
[line 1]
[line 2]
[line 3]
[line 4]
[line 5]
Which property was used incorrectly when
going from line 2 to line 3?
1) distributive
2) commutative
3) associative
4) multiplicative inverse
3 A teacher asked the class to solve the equation
. Robert wrote
as his
first step. Which property did he use?
1) associative property
2) commutative property
3) distributive property
4) zero property of addition
4 While solving the equation
, Becca
wrote
. Which property did she use?
1) distributive
2) associative
3) commutative
4) identity
5 A method for solving
is
shown below. Identify the property used to
obtain each of the two indicated steps.
Regents Exam Questions CC.A.REI.1: Identifying Properties
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1
2
3
4
5
ANS: 1
REF: 061401ai
ANS: 1
REF: 061405ia
ANS: 3
REF: 081419ia
ANS: 1
REF: 080601a
ANS:
(1) Distributive; (2) Commutative
REF: 061132ia
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