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Systems of equations

Introduction to systems of equations

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Systems of equations: trolls, tolls (1 of 2)
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Systems of equations: trolls, tolls (2 of 2)
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Testing a solution to a system of equations
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Systems of equations with graphing: y=7/5x-5 & y=3/5x-1
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Systems of equations with graphing: exact & approximate solutions
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Setting up a system of equations from context example (pet weights)
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Setting up a system of linear equations example (weight and price)
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Interpreting points in context of graphs of systems
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Practice
Solutions of systems of equationsGet 3 of 4 questions to level up!
Systems of equations with graphingGet 3 of 4 questions to level up!
Creating systems in contextGet 3 of 4 questions to level up!
Interpret points relative to a systemGet 3 of 4 questions to level up!

Solving systems of equations with substitution

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Systems of equations with substitution: potato chips
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Systems of equations with substitution: -3x-4y=-2 & y=2x-5
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Substitution method review (systems of equations)
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Practice
Systems of equations with substitutionGet 3 of 4 questions to level up!

Equivalent systems of equations and the elimination method

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Systems of equations with elimination: King's cupcakes
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Why can we subtract one equation from the other in a system of equations?
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Elimination strategies
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Systems of equations with elimination: x-4y=-18 & -x+3y=11
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Systems of equations with elimination: potato chips
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Systems of equations with elimination (and manipulation)
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Elimination method review (systems of linear equations)
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Worked example: equivalent systems of equations
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Worked example: non-equivalent systems of equations
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Equivalent systems of equations review
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Practice
Combining equationsGet 3 of 4 questions to level up!
Elimination strategiesGet 3 of 4 questions to level up!
Systems of equations with eliminationGet 3 of 4 questions to level up!
Systems of equations with elimination challengeGet 3 of 4 questions to level up!

Number of solutions to systems of equations

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Systems of equations number of solutions: fruit prices (1 of 2)
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Systems of equations number of solutions: fruit prices (2 of 2)
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Solutions to systems of equations: consistent vs. inconsistent
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Solutions to systems of equations: dependent vs. independent
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Number of solutions to a system of equations
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Number of solutions to a system of equations graphically
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Number of solutions to a system of equations algebraically
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How many solutions does a system of linear equations have if there are at least two?
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Number of solutions to system of equations review
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Practice
Number of solutions to a system of equations graphicallyGet 3 of 4 questions to level up!
Number of solutions to a system of equations algebraicallyGet 3 of 4 questions to level up!

Systems of equations word problems

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Age word problem: Imran
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Age word problem: Ben & William
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Age word problem: Arman & Diya
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System of equations word problem: walk & ride
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System of equations word problem: no solution
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System of equations word problem: infinite solutions
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Systems of equations with elimination: TV & DVD
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Systems of equations with elimination: apples and oranges
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Systems of equations with substitution: coins
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Systems of equations with elimination: coffee and croissants
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Practice
Age word problemsGet 3 of 4 questions to level up!
Systems of equations word problemsGet 3 of 4 questions to level up!
Systems of equations word problems capstoneGet 3 of 4 questions to level up!

About this unit

In this unit, we learn how to write systems of equations, solve those systems, and interpret what those solutions mean.