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Illustrative Mathematics
The Intersection of Two Lines
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
Illustrative Mathematics
The Sign of Solutions
Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...
Illustrative Mathematics
Dimes and Quarters
Here is a coin problem where the algebra learner determines the pair of linear equations needed to solve the system. Whether the equations are taken from a table, or your scholars recognize the format of a coin problem, it is an...
Saxon
Plotting Functions
Youngsters use a graphing calculator to assist in creating a function table. They graph the function on a coordinate plane. They explore the relationship between the domain and range in the graph. This four-page worksheet contains two...
Curated OER
Linear and Quadratic System
Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.
PBL Pathways
College Costs
Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data,...
5280 Math
More or Less the Same
Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...
Teach Engineering
Edible Rovers (High School)
Design and build a rover ... then eat it? This activity has groups of two design and build Mars rovers. The teams determine what instruments they want to include with their rover and plan a budget. They calculate the cost of the body of...
Illustrative Mathematics
How Many Solutions?
Determining the number of solutions is an important stepping stone to higher math. In this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...
Curated OER
Algebra 2 Desmos Graphing Project
Encourage class members to get creative with functions. Pairs write their names and draw pictures using a graphing application with a collaborative graphic project. The resource provides the requirements for the project, as well as a...
Teach Engineering
Using Hooke's Law to Understand Materials
Provide a Hooke for a lesson on elasticity with an activity that has groups investigate a set of springs. They use a set procedure to collect data to calculate the spring constant for each spring using Hooke's Law. The groups...
101 Questions
Coin Counting
Cash in on a great resource. After watching a video of a coin counter, pupils estimate the number of coins and the amount of money they see. They then use additional given information and systems of equations to find the actual values.
Texas Instruments
Texas Instruments: Linear Equations: Using Algebra
Students learn to solve one-step and two-step linear equations. They understand algebraic concepts relating to linear equations such as isolating the variable, balancing equations, and checking solutions. Students also learn the...
Discovery Education
Discovery Education: Web Math: Solve a Set of Two Linear Equations
This WebMath site explains how to enter your two equations with two variables and solve for those variables. It explains step-by-step how to solve the equations and gives the final solutions.
Texas A&M University
Systems of Linear Equations an Introduction [Pdf]
Use this site to see how graphing and substitution are used to solve systems of equations. The examples have systems that have one, infinite, or no solutions. The site is set up to see the solutions step by step.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Systems of Linear Inequalities and Equations 2
Nineteen problems present a variety of practice finding the system of linear inequalities or the system of linear equations. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the...
Other
Ecuaciones Lineales Con Dos Variables
In Spanish. Everything you want to know about linear equations in easy to understand, step by step explanations. Discusses two variable equations, and different methods to solve them, slope, and more. Also provides practice problems for...
Interactive Mathematics
Interactive Mathematics: Solving Systems Algebraically
Both the substitution and elimination methods are presented through detailed examples. Learn step by step how to find solutions to any linear system of two variables.
Other
First Order Linear Differential Equations
This tutorial over first order linear differential equations gives the basic form of the equation and works through two example problems, step by step.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Absolute Value Sentences
Twenty-five problems present a variety of practice solving absolute value equations as two linear equations and a compound inequality for the absolute value inequality. Also, there is practice graphing, checking solutions and finding...