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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.
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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.
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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...
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Solving Systems of Three Equations with Substitution
In this solving systems of equations worksheet, 9th graders solve and complete 12 different problems. First, they solve for one variable by combining like terms on one side of the equal sign. Then, students solve for the second variable....
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Using Proof in Algebra
In this using proofs in algebra activity, 10th graders solve 2 proofs by applying the many rules from algebra for the Properties of Equality for real numbers. They name the property that justifies each statement as seen in the...
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Chapter 6: Objective 2.1 Substitution
In this substitution instructional activity, students solve systems of equations by substitution. This one-page instructional activity contains ten system of equation problems.
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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.
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Seven Advanced Algebra Problem Sets
In this advanced algebra worksheet, students solve seven problem sets covering: linear equations, arithmetic sequence, slope, point-slope, median, linear system, substitution method and the elimination method.
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Twenty-Four Linear Systems Solved Using Substitution and Elimination
In this solving linear systems worksheet, students solve twenty-four systems using the substitution and elimination methods. Definitions and examples are provided.
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Topic 3.2 - Solving Systems of Equations Algebraically
In this algebraic equation worksheet, learners solve 6 systems of equations using substitution. They then solve 6 more in which they use elimination.
Flipped Math
Intro to Proofs
Prove the best way to keep up in Geometry. Scholars first review algebraic properties from Algebra. Learners then use the properties to create two-column proofs to solve linear equations before completing algebraic proofs by providing...
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
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 instructional activity focuses on expressions related to...
Curated OER
Substitution Property
For this substitution property worksheet, 6th graders solve and complete 3 various types of problems. First, they use the values assigned to each variable to evaluate and match the expressions to their corresponding answers. Then,...
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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...
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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...
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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...
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.
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.
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Systems of Equations (Systems Project Part 1)
In this systems of equations worksheet, students identify and explore three ways to solve systems of equations: graphing, substitution, elimination. They discuss the strengths, weaknesses, and write an algorithm for each method. ...
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Example and Steps to Solving Linear Systems Using Substitution
In this linear equation worksheet, learners solve five systems of linear equations using the substitution method. Three examples with steps to solve are provided.
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Quick Quiz: Substitution
In this substitution quiz learning exercise, students complete a set of 10 problems, determining whether given values for n are correct, writing yes or no. Answers are given on page 2.
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The Meaning of Algebraic Expressions
Students define equations and expressions. In this algebra lesson, students review important vocabulary words to do with equations and solving problems. They simplify equations and expressions using addition, subtraction, multiplication...
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Solving Systems of Equations by Substitution
In this systems of equations worksheet, students solve 20 problems. The first 6 problems have one equation in the y-intercept form. The following 10 problems have one variable that has a coefficient of +1. The final four problems require...