Mathematics
Algebra1
StandardMAFS.912.A-REI.3.5
Standard(s): MAFS.912.A-REI.3.5: 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.
Also assed with: MAFS.912.A-CED.1.2,MAFS.912.A-REI.3.6, and MAFS.912.A-REI.4.12
Cognitive Complexity: Level 3: Strategic Thinking & Complex Reasoning
Assessment Limits:
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Items that require the student to write a system of equations using a real-world context are limited to a
system of 2 x 2 linear equations with integral coefficients if the equations are written in the form
Ax + By = C.
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Items that require the student to solve a system of equations are limited to a system of 2 x 2 linear equations
with integral coefficients if the equations are written in the form Ax + By = C.
Items that require the student to graph a system of equations or inequalities to find the solution are limited to
a 2 x 2 system.
Items that require the student to write a system of inequalities using a real-world context are limited to
integer coefficients.
4
The student will be able to:
3
The student will be able to:
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Justify why multiple equivalent systems have the same solution.
Identify an equivalent system that has the sum of multiples of both equations of the system.
Identify an equivalent system that has a sum of the original equation and a multiple of the other equation of the
system.
Identify systems that have the same solution.
2
The student will be able to:
1
The student will be able to recognize the meaning of specific vocabulary, including:
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Identify an equivalent system of two equations in two variables that has a multiple of one of the equations of the
original system.
Coefficients, equivalent, variable, multiple, system, substitution.
The student will be able to:
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Identify a multiple of an equation.
Lastupdated8/8/16