Systems of Equations
Common Core (Algebra)
Common Core for Mathematics
Examples, solutions, videos, and lessons to help High School students learn how to solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Suggested Learning Targets
- Solve systems of equations using graphs.
- Solve systems of equations using the elimination method (sometimes called linear combinations).
- Solve a system of equations by substitution (solving for one variable in the first equation and substitution it into the second equation).
Solving Systems of Equations Graphically
Example:
1) Find the two numbers for which the sum is 93 and the difference is 9.
2) The perimeter of a rectangle is 160 yd. The width is 4 more than half the length. Find the length and the width.
3) Sunset rents an 18 ft truck for $49.95 plus 75 cents per mile. Cactus rents a 18 ft van for $59.95 plus 50 cents per mile. For what millage is the cost the same?
This video explains how to solve an application problem using a system of equations.
Examples:
A woman has 21 coins in her pocket, all of which are dimes and quarters. If the total value of her change is $3.90, how many dimes and how many quarters does she have?
Check out our most popular games!
Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!
Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.
Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.
Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.
Penguin Solitaire:
Move all cards to the foundations to build four full sequences. There are two versions here: Penguin (Tuxedo) and Penguin (Original).
Sawayama Solitaire:
This is similar to the common Klondike Solitaire except for a few changes to make it more strategic.
Check out more Solitaire games here.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.