System Word Problems Solved by Substitution

Use the rental plan and walkers sheets first, since the graph makes the solution visible. Then move to the method sheets and finish with Systems Word Problems, Write and Solve.

Write systems for books on a shelf, two ages and a rectangle's perimeter, then substitute. The directions on the page read: Name the unknowns x and y. Write a system and solve it by substitution. An answer key is included.

Yes, both. We made it for 8th grade systems of equations, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

Name the two unknowns x and y. Write one equation for each fact in the problem, such as a total count and a total cost. Every sheet here has Let x = and Let y = lines to start.

It is where two cost lines cross, so both plans cost the same. Graph a System to Compare Two Rental Plans finds it for two kayak shops, then asks which shop costs less before and after it.

Use substitution when one quantity is described in terms of the other, such as twice as many novels as comic books. Use elimination when both equations are totals, such as bagels and juices. Systems Word Problems, Write and Solve lets students choose.