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Charleston School District
Solving Systems with Substitutions
How many large and small watermelons did he sell? Just use the given information to write and solve a system of equations! The two videos accompanying the lesson explain the substitution method and then introduce problem solving. The...
Henrico County Public Schools
Solving Systems of Equations by Substitution
There is no substitute for checking the solution. A short introduction to the substitution method of solving systems of equations is an ideal resource for algebra classes. The slides present steps for the substitution method and...
EngageNY
Nature of Solutions of a System of Linear Equations
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
EngageNY
Linear Systems in Three Variables
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
Virginia Department of Education
Evaluating and Simplifying Expressions
Discover how algebra tiles help evaluate expressions. Scholars learn to use algebra tiles to substitute values in for variables and evaluate expressions. The included worksheet contains a set of evaluation problems to assess individuals'...
EngageNY
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra.
Washingtonville Central School District
Systems of Equations (Substitutes and Elimination)
With a whopping total of 66 questions, here is a resource that provides a full variety of systems of equations questions using elimination and substitution solution methods.
Virginia Department of Education
Nonlinear Systems of Equations
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
EngageNY
Another Computational Model of Solving a Linear System
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
Charleston School District
Review Unit 6: Systems of Equations
It's time to show off what they learned! The final lesson in the series is a review worksheet on the topics learned throughout the unit. Scholars solve systems of equations using graphic and algebraic methods, solve system-based word...
Charleston School District
Pre-Test Unit 6: Systems
As if solving equations with an x isn't tricky enough, now they add a y, too? A pre-assessment gauges the knowledge of your classes related to systems. They are asked to solve graphically and algebraically and to solve word...
EngageNY
Linear Equations in x
What does it mean to solve an equation? The resource revisits the concept of making a linear equation true. Classmates use algebraic methods to transform sides of equations to expressions with fewer terms. They use substitution to...
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
Mathematics Vision Project
Module 2: Systems of Equations and Inequalities
The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the...
EngageNY
True and False Number Sentences II
Substitution is still the method of choice to verify number sentences. The detailed lesson has young mathematicians determining conditions for when number sentences are true or false through substitution. They learn to express these...
EngageNY
Modeling Riverbeds with Polynomials (part 1)
Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.
Charleston School District
Pre-Test Unit 4: Linear Funcitons
Let your classes show you what they know! Use this pre-test to assess the current knowledge of your learners. The assessment includes all pre-algebra concepts related to functions: writing and graphing linear relationships, comparing...
Khan Academy
Khan Academy: Substitution Method Review (Systems of Linear Equations)
This article will take you through a step-by-step approach for solving a systems of linear equations. Article also includes practice questions.
Texas Education Agency
Texas Gateway: Solving Systems of Equations Using Substitution
Given a system of two equations where at least one of the equations is linear, the student will solve the system using the algebraic method of substitution.
Texas Education Agency
Texas Gateway: Solving Systems of Equations With Algebraic Methods
Given verbal and/or algebraic descriptions of situations involving systems of two-variable linear equations, the student will solve the system of equations by different methods.
Wyzant
Wyzant: Algebra Help
Heres a comprehensive review of the basics of algebra. WyzAnt includes lessons on varied topics, calculators that show step-by-step solutions, and interactive worksheets for practicing and testing your skills. Just choose a topic and use...
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Systems of Linear Equations in Two Var.
This tutorial will guide you through several tasks associated with systems of linear equations in two variables. Complete with definitions, problems with step-by-step solutions, and example exercises for you to complete and check.
Other
Algebra.com: Linear Equation and System Solvers: Solve Linear Systems
This interactive linear system solver allows you to enter two linear equations in general form and then plot the lines and find the answer using either substitution or elimination. The answer is presented with both methods accompanied by...