IXL - Checkpoint: Modeling with linear equations and inequalities (Algebra 1 practice)

A system of linear equations is graphed below.

Which situations could the system of equations represent? Select all that apply.

Malik and Noah are running a 50-meter race. Noah runs 3 meters per second. Malik, who gets a 15-meter head start, runs 1 meter per second.

Bella has

and she spends

a day on lunch. Oscar has

and he saves

every day.

To start, tank A contains 50 liters of water, and tank B contains 15 liters. Water is leaking from tank A at a rate of 3 liters per minute. Water is being added to tank B at a rate of 1 liter per minute.

A tow truck starts the day with a full 50-gallon tank, and an SUV starts with a full 15-gallon tank. Each hour, the tow truck uses 3 gallons while the SUV uses 1 gallon.

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Teacher tools

Work it out

Not feeling ready yet? These can help:

L.4Slope-intercept form: graph an equation

N.8Write a linear function: word problems

O.3Solve a system of equations by graphing: word problems

O.9Solve a system of equations using substitution: word problems

O.11Solve a system of equations using elimination: word problems

O.15Solve a system of equations using any method: word problems

P.5Write two-variable inequalities: word problems

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