IXL - Solve a system of equations by graphing: word problems (Algebra 2 practice)

Jerry and Daniel, both teachers, are adding books to their class libraries. Jerry's classroom started out with a collection of only 15 books, but he plans to purchase an additional 4 books per week. Daniel's library started out with 30 books, and he has enough money in his budget to purchase another 1 book per week. At some point, the two teachers' libraries will contain the same number of books. How many books will each class have?

Write a system of equations, graph them, and type the solution.

x-axis, Weeks, y-axis, Books. Coordinate plane graph with 1 quadrants, x-axis coordinates from 0 to 10, y-axis coordinates from 0 to 50.

books

ref_doc_title.

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question

Chad is going to the water slides and needs to figure out which deal is better. He can pay $35 to go on the water slides as much as he wants, or he can pay $15 to get in, plus an additional $1 per trip down the water slides. If Chad goes on a certain number of trips down the water slides, the two options are equivalent in terms of cost. What is the cost?

Write a system of equations, graph them, and type the solution.

dollars

solution

Start by writing a system of equations. Let

trips

and

dollars

The first equation is

This equation tells you that every

-value

is 35. Plot some points that have a

-value

of 35, like

(

)

and

(

)

and then draw a line connecting them.

The second equation is

The

-intercept

is 15. Plot the point

(

)

The slope is 1, which is the same as

Move up 5 and right 5 to find another point on the line.

Draw a line connecting them.

Finally, identify the point of intersection.

The lines intersect at

(

)

If Chad goes on 20 trips, the two options will each cost $35.

Looking for more? Try these:

Lesson: Systems of equations

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Not feeling ready yet? These can help:

E.2Solve a system of equations by graphing

N.8Write a linear function: word problems

Lesson: Systems of equations

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