Florida B.E.S.T. MA.8.AR.4.1
The Standard
Given a system of two linear equations and a specified set of possible solutions, determine which ordered pairs satisfy the system of linear equations.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students test each given ordered pair by replacing x and y in both equations. They decide which pairs make both equations true, not just one.
What Mastery Looks Like
- Students correctly substitute the x- and y-values into each equation and compare both sides. They accept a pair only when both equations are true and can explain why other pairs fail.
Common Misconceptions
- Students may test an ordered pair in only one equation and assume it works. They may reverse the x- and y-values, mishandle negative signs, or accept a pair when only one equation is true.
How to Assess It
- Give the system y = 2x + 1 and x + y = 7, with choices (2, 5), (3, 4), and (1, 3). Ask students to identify the solution and show substitution into both equations.
Lesson moves
Ways to Teach It
Give pairs equation cards and ordered-pair cards; students substitute each pair, then place it on a both, one, or neither mat.
Ask students to write why a pair that satisfies one equation but not the other is not a solution to the system.
Run a candidate check relay where teams draw an ordered pair, test both equations, and earn a point for a correct explanation.
Present a ticket-sales system, then have students test three proposed adult and student ticket counts against both attendance and revenue equations.
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Printable MA.8.AR.4.1 Worksheet
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Related Standards
- MA.912.AR.9.9
Given a mathematical or real-world context, solve a system of three-variable linear equations algebraically.
- MA.912.AR.9.2
Given a mathematical or real-world context, solve a system consisting of a two-variable linear equation and a non-linear equation algebraically or graphically.
- MA.8.AR.4.2
Given a system of two linear equations represented graphically on the same coordinate plane, determine whether there is one solution, no solution or infinitely ...
- MA.912.AR.9.3
Given a mathematical or real-world context, solve a system consisting of two-variable linear or non-linear equations algebraically or graphically.
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