Solving Linear System: Substitution (Adventure Themed) Math Worksheets

Definition

A system of linear equations involves multiple equations with the same variables, solved together to find their common solution. For example, x+y=8 and 3x-y=6 are both linear equations with two variables. When we consider them together, they will form a system of linear equations.

Summary

The solution of a linear equation is the point at which the lines representing the linear equations intersect.

The solution(s) to a system of linear equations correspond to the point(s) where the graphs of the equations intersect. For example, the two lines on the graph intersect at the point (2, 3). So, the solution to the system of equations is (2,3), or x = 2 and y = 3.

The solutions of a system of linear equations are also the values of the variables that make all the equations true.

What are the possible outcomes for solutions to a system of linear equations?

No Solution

When a system of linear equations is parallel to each other

One Solution

When a system of linear equations intersects at an ordered pair

Infinite Solutions

When two equations represent the same line

Solving Linear System: Substitution Worksheets

This is a fantastic bundle which includes everything you need to know about Solving Linear System: Substitution across 19 in-depth pages. These are ready-to-use Common core aligned 8th Grade Math worksheets.

Each ready to use worksheet collection includes 10 activities and an answer guide. Not teaching common core standards? Don’t worry! All our worksheets are completely editable so can be tailored for your curriculum and target audience.

Resource Examples

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Worksheets Activities Included

Ages 12-13 (Basic) 

• What’s in Your Map?
• The Crossword Ticket
• The First Destination
• Climb It Up!
• Match It to Capture!

Ages 12-13 (Advanced) 

• Foods in a Basket
• The Mighty Ship
• Level Up!
• Recalling Your Adventure
• Experience the Skydiving!