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West Contra Costa Unified School District
Solving a System by Substitution
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
Virginia Department of Education
Algebra Tiles and Solving Equations
Young mathematicians solve linear equations by drawing models of algebra tiles using colored pencils. To finish, they solve the same equations algebraically and check their answers using a graphing calculator.
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...
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.
Curated OER
College Prep Algebra, Evaluate Expressions
In this algebra worksheet, students use order of operations to solve 12 equations. They use the substitution method to solve 12 variable equations.
Curated OER
College Prep Algebra, Order of Operations
In this algebra worksheet, students evaluate 9 exponential terms. They use order of operations to solve 18 rational number problems. Students use substitution to evaluate 4 problems involving variables.
Curated OER
Solving Systems Using Substitution
Write a math story for a series of problems using given variables. The class writes stories, showing understanding of strategies in compound sentences. They then solve the equations.
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'...
Curated OER
Substitution "Plugging In"
The old plug and chug method will help the class investigate functional notation. They explore the meaning of functional notation, f(x), and determine the functional value of given values. The instructional activity includes two...
Curated OER
Systems of Equations: What Method Do You Prefer?
Students explore the concept of solving systems of equations. In this solving systems of equations lesson, students watch YouTube videos about how to solve systems by graphing and by elimination. Students use an interactive website to...
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.
Curated OER
Solving Systems by Substitution
Students solve systems of linear equations using substitution. They investigate the steps to solving linear equations by substitution and practice problems in small groups.
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...
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
Replacing Letters with Numbers
When did letters become the same as numbers? Scholars learn about substituting numbers for letters to evaluate algebraic expressions in the seventh part in a series of 36. The lesson focuses on expressions related to geometry, such as...
Curated OER
Algebra: Lesson 4
Eighth graders participate in using algebraic proportional reasoning to find the missing amount that balances on a scale. Substitution is used to discover the missing objects on a scale. They answer multiple choice questions that are...
Curated OER
Introductory Algebra Chapter 1 Review
In this math worksheet, students solve the problems that involve linear equations. They substitute the values given for each variable.
Curated OER
Substitution Process in Problem Solving
Students apply the substitution process to solve equations with more than one variable. They explore how to use the process and when it should be used.
Curated OER
Solving by Substitution or Elimination
In this algebra worksheet, students solve two systems of linear equations by substitution. They solve 5 systems by using the elimination method. The final 4 problems involve systems of linear equations, but students are given the option...
Curated OER
Elementary Algebra Study Guide
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
Curated OER
Solving Various Algebraic Equations for Real and Imaginary Roots
In this solving equations worksheet, students solve forty-four algebraic equations for real and imaginary solutions. Types of equations include higher degress polynomials, rational equationals, radical equations, and square roots inside...
Curated OER
Semester Review Worksheet: College Prep Algebra
In this semester review worksheet, students simplify given expressions. They translate word sentences into algebraic expressions, solve equations through substitution, and find the value of a variable in a given equation. This worksheet...
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.
Curated OER
The Meaning of Algebraic Expressions
Students define equations and expressions. For this algebra lesson, students review important vocabulary words to do with equations and solving problems. They simplify equations and expressions using addition, subtraction, multiplication...