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Equation
Match-Up
A.REI.1
Common Core Algebra Standard
A.REI.1
Reasoning with Equations & Inequalities
Understand solving equations as a process of reasoning and explain the reasoning.
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.
Equation Match Up – Page 2
Algebra 1 (A.REI.1)
Name _________________________
Match up the equations with the same solution. Explain how you knew that they had
the same solution without solving the equations.
A.
2𝑥 − 3 = 5𝑥 + 7
E.
6𝑥 + 5 = 4𝑥 − 4
B.
2𝑥 + 3 = 5𝑥 − 7
F.
2𝑥 − 2 = 5𝑥 − 12
C.
10𝑥 − 8 = 6𝑥 + 10
G.
4𝑥 − 6 = 10𝑥 + 14
D.
4𝑥 − 4 = 6𝑥 + 5
H.
5𝑥 − 4 = 3𝑥 + 5
Match #1 _____________________________ and ________________________________
Explain: _____________________________________________________________________________
____________________________________________________________________________________
Match #2 _____________________________ and ________________________________
Explain: _____________________________________________________________________________
____________________________________________________________________________________
Match #3_____________________________ and ________________________________
Explain: _____________________________________________________________________________
____________________________________________________________________________________
Match #4 ____________________________ and ________________________________
Explain: _____________________________________________________________________________
____________________________________________________________________________________
Equation Match Up – Page 3
Algebra 1 (A.REI.1)
Name _________________________
Match up the equations with the same solution. Explain how you knew that they had
the same solution without solving the equations.
A.
4𝑥 + 2 = 14𝑥 − 6
E.
B.
3𝑥 = 4𝑥 − 2
F.
𝑥
+3
2
2𝑥 + 2 = 7𝑥 − 2
C.
5𝑥 − 4 = 6
G.
−2𝑥 − 1 = 0
D.
6𝑥 = −3
H.
6𝑥 + 2 = 8𝑥 − 2
3𝑥 − 2 =
Match #1 _____________________________ and ________________________________
Explain: _____________________________________________________________________________
____________________________________________________________________________________
Match #2 _____________________________ and ________________________________
Explain: _____________________________________________________________________________
____________________________________________________________________________________
Match #3_____________________________ and ________________________________
Explain: _____________________________________________________________________________
____________________________________________________________________________________
Match #4 ____________________________ and ________________________________
Explain: _____________________________________________________________________________
____________________________________________________________________________________
Equation Match Up – Page 4
Algebra 1 (A.REI.1)
Name _________________________
Match up the equations with the same solution. Explain how you knew that they had
the same solution without solving the equations.
A.
2𝑥 − 3 = 5𝑥 + 7
E.
6𝑥 + 5 = 4𝑥 − 4
B.
2𝑥 + 3 = 5𝑥 − 7
F.
2𝑥 − 2 = 5𝑥 − 12
C.
10𝑥 − 8 = 6𝑥 + 10
G.
4𝑥 − 6 = 10𝑥 + 14
D.
4𝑥 − 4 = 6𝑥 + 5
H.
5𝑥 − 4 = 3𝑥 + 5
Match #1 ___________A__________________ and _______________G________________
Explain: MULTIPLICATION PROPERTY OF EQUALITY (MULTIPLY BY 2)
Match #2 ____________B_________________ and ________________F_______________
Explain: SUBTRACTION PROPERTY OF EQUALITY (SUBTRACT 5)
Match #3___________C_________________ and ________________H_______________
Explain: DIVISION PROPERTY OF EQUALITY (DIVIDE BY 2)
Match #4 ____________D_______________ and ______________E_________________
Explain: SYMMETRIC PROPERTY OF EQUALITY
Equation Match Up – Page 5
Algebra 1 (A.REI.1)
Name _________________________
Match up the equations with the same solution. Explain how you knew that they had
the same solution without solving the equations.
A.
4𝑥 + 2 = 14𝑥 − 6
E.
B.
3𝑥 = 4𝑥 − 2
F.
𝑥
+3
2
2𝑥 + 2 = 7𝑥 − 2
C.
5𝑥 − 4 = 6
G.
−2𝑥 − 1 = 0
D.
6𝑥 = −3
H.
6𝑥 + 2 = 8𝑥 − 2
3𝑥 − 2 =
ANSWERS MAY VARY.
Match #1 ______A______________ and ___________F___________________
Explain: DIVISION PROPERTY OF EQUALITY (DIVIDE BY 2) THEN ADDITION PROPERTY OF EQUALITY
(ADD 1)
Match #2 ___________C_________________ and _____________E_________________
Explain: ADDITION PROPERTY OF EQUALITY (ADD X) THEN DIVISION PROPERTY OF EQUALITY (DIVIDE
BY 2)
Match #3____________B________________ and ______________H_________________
Explain: ADDITION PROPERTY OF EQUALITY (ADD 1) THEN MULTIPLICATION PROPERTY OF EQULITY
(MULTIPLY BY 2)
Match #4 _________D__________________ and _____________G__________________
Explain: ADDITION PROPERTY OF EQUALITY (ADD 3) THEN DIVISION PROPERTY OF EQUALITY (DIVIDE
BY -3)
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