8.EE.C.8.c
Solve real-world and mathematical problems leading to two linear equations in two variables.
Example Problems
Tony is 5 years older than Beth. He is also 8 years older than half of Beth's age.
Let be Tony's age and be Beth's age.
Write a system of equations to represent this situation.
Let be Tony's age and be Beth's age.
Write a system of equations to represent this situation.
Fred is 4 times as old as Nathan and is also 27 years older than Nathan.
Let be Fred's age and let be Nathan's age.
Write a system of equations to represent this situation.
Let be Fred's age and let be Nathan's age.
Write a system of equations to represent this situation.
Candace purchased 2 notebooks and 3 pencils for a total of $9.
A month later, she purchased 3 notebooks and 2 pencils at the same prices, for a total of $8.
How much does one notebook cost?
A month later, she purchased 3 notebooks and 2 pencils at the same prices, for a total of $8.
How much does one notebook cost?
Khan Academy ResourcesAge word problemsInterpret points relative to a systemSystems of equations word problemsAge word problem: Ben & WilliamAge word problem: Arman & DiyaAge word problem: ImranSystems of equations with elimination: TV & DVDSystems of equations with graphing: choresSystems of equations with substitution: coinsSetting up a system of equations from context example (pet weights)Interpreting points in context of graphs of systemsSystems of equations with elimination: coffee and croissantsSetting up a system of linear equations example (weight and price)System of equations word problem: infinite solutionsSystems of equations with elimination: apples and orangesSystem of equations word problem: no solutionSystem of equations word problem: walk & ride

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