M.1HS.5
Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions and simple rational and exponential functions.
Example Problems
Write an equation to describe this situation:
Larry read a 400-page book.
He read at a rate of 10 pages per day for days.
Larry read a 400-page book.
He read at a rate of 10 pages per day for days.
Write an equation to describe this situation:
Simone completed a 720-lap swimming challenge.
She swam 24 laps per day for days.
Simone completed a 720-lap swimming challenge.
She swam 24 laps per day for days.
Write an equation to describe this situation:
Mia completed a 500-piece puzzle.
She worked at a rate of 25 pieces per day for days.
Mia completed a 500-piece puzzle.
She worked at a rate of 25 pieces per day for days.
Khan Academy ResourcesUsing units to solve problemsUsing inequalities to solve problemsEquations & inequalities word problemsMixtures and combined rates word problemsComparing linear rates word problemsQuadratic equations word problem: triangle dimensionsUsing units to solve problems: Drug dosageQuadratic equations word problem: box dimensionsRational equations word problem: eliminating solutionsRational equations word problem: combined ratesCombining mixtures exampleExponential equation word problemRational equation word problemComparing linear rates exampleUsing inequalities to solve problems
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