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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)