IXL - Solve linear equations with variables on both sides: word problems (Algebra 1 practice)

Nick wants to join a gym, and he is deciding between two options. Infinity Fitness charges $45 per month, plus a one-time registration fee of $20. The Power Zone charges

37.50

per month, plus a one-time registration fee of $65.

Which equation can you use to find

the number of months it would take for the total cost at either gym to be the same?

37.5

After how many months would the total cost at either gym be the same?

months

ref_doc_title.

Learn with an example

question

One afternoon, a news station in San Pablo reports that the temperature is

and will drop by

per hour. At the same time, a news station in Santa Rosa reports that the temperature is

and will drop by

per hour.

Which equation can you use to find

the number of hours it will take for the cities to reach the same temperature?

–

How long will it take for the cities to reach the same temperature?

Simplify any fractions.

hours

solution

You want to find

the number of hours it will take for the cities to reach the same temperature.

First, write an expression that represents each city's temperature after

hours.

The temperature in San Pablo is

and it will drop by

per

hour.

So, San Pablo's temperature after

hours can be represented by

–

The temperature in Santa Rosa is

and it will drop by

per

hour.

So, Santa Rosa's temperature after

hours can be represented by

–

You can use the equation

–

to find the number of hours it will take for the cities to reach the same temperature. Solve for

–

Add

to both sides

Add

to both sides

Subtract 90 from both sides

Divide both sides by 2

Rewrite as a mixed number

So, it will take

hours for the cities to reach the same temperature.

Looking for more? Try these:

Lesson: Multi-step equations

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Work it out

Not feeling ready yet? These can help:

C.12Solve linear equations with variables on both sides

C.9Solve one-step and two-step linear equations: word problems

Lesson: Multi-step equations

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