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Unit: Systems of equations

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Possible mastery points

Introduction to systems of equations

Learn
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!

Quiz 1

Level up on the above skills and collect up to 400 Mastery points

Solving systems of equations with substitution

Learn
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

Learn
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!

Quiz 2

Level up on the above skills and collect up to 500 Mastery points

Number of solutions to systems of equations

Learn
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!

Quiz 3

Level up on the above skills and collect up to 500 Mastery points
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Unit test

Level up on all the skills in this unit and collect up to 1400 Mastery points!

About this unit

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