Virginia Department of Education
Road Trip
Help plan a road trip with linear equations. Scholars consider two different rental car companies and write equations representing the cost for each company. They graph the system of equations to determine the conditions under which each...
EngageNY
Introduction to Simultaneous Equations
Create an understanding of solving problems that require more than one equation. The lesson introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of...
Noyce Foundation
Toy Trains
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish by developing an algebraic...
Virginia Department of Education
Matching Representations
Pupils explore the many representations of linear functions by completing a matching activity to connect the multiple representations of a function. They then reinforce the connection as individuals create the different representations...
EngageNY
Writing Equations Using Symbols
Build upon prior equation writing experience to create more complicated equations. Lesson one in a 33-part unit builds upon the class members' sixth and seventh grade experience of writing linear equations. Several examples provide...
EngageNY
Systems of Equations Leading to Pythagorean Triples
Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...
Concord Consortium
Rising Prices
What will that cost in the future? The scenario provides pupils with a growth as a Consumer Price Index. Learners create functions for a given item to determine future prices and graph them. Class members then compare their functions to...
Curated OER
Linear Motion 5
In this linear motion worksheet, high schoolers answer 9 questions about velocity, acceleration and position of objects. They solve problems for acceleration and velocity and they interpret graphs of velocity vs. time, acceleration vs....
Curated OER
Linear Motion 4
In this linear motion worksheet, high schoolers answer 12 questions including finding acceleration of moving objects, calculating distance objects travel and determining the time of travel. Students interpret graphs of position vs. time,...
Curated OER
Solving Linear Equations
In this algebra worksheet, students solve linear equations and expressions by combining like terms. There are 10 questions with an answer key.
Curated OER
Linear Equations
In this algebra worksheet, 11th graders solve linear equations and rewrite them in the form y=mx + b. They graph the equations using the slope and y-intercept. There are 22 questions with an answer key.
Curated OER
Systems of Linear Equations
In this systems of equations worksheet, high schoolers complete 14 multiple choice questions involving systems of equations and finding how many solutions belong to a set of systems.
Curated OER
Graphing Inequalities
In this inequality worksheet, students solve inequalities on a coordinate plane by graphing. The linear equations contain two variables. This one-page worksheet contains ten problems.
Curated OER
Integrated Algebra Practice: Systems of Linear Equation Word Problems
In this systems of equations worksheet, high schoolers solve 10 short answer problems. Students write and solve systems of equations given a word problem.
Curated OER
The Cartesian Plane
Learners solve and complete 22 various types of problems. First, they find the gradients of the lines and plot the given points. Then, they complete the table of values for each equation and use the table to draw the graph.
Flipped Math
Unit 3 Review: Systems of Equations
More practice makes perfect. A review packet helps pupils remind themselves of the content of the unit. They determine whether points are solutions to linear equations, graph systems of equations and inequalities, and solve systems of...
Fredonia State University of New York
Watch Your Step…You May Collide!
Can two lines intersect at more than one point? Using yarn, create two lines on the floor of the classroom to find out. Cooperative groups work through the process of solving systems of equations using task cards and three different...
Illustrative Mathematics
Solving Two Equations in Two Unknowns
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning.
Curated OER
Algebra II: Chapter 7 Test - Systems of Equations
In this systems of equations worksheet, students solve systems of equations, systems of inequalities, and linear equations. They read word problems and write a system of equations that depicts the problem. this two-page worksheet...
Curated OER
Quick Graphs of Linear Equations
Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...
Curated OER
Polynomials and Linear Factors
This algebra activity reviews writing polynomials in standard form from factored form, looks at the graphs of polynomials of degree higher than two, and identifies the zeros of polynomials using the Factor Theorem and Fundamental Theorem...
West Contra Costa Unified School District
Solving Equations Using Balance Scale, Decomposition, and Graphing
There's more than one way to solve an equation — three, actually. Scholars learn how to solve simple linear equations in one variable using three different methods, which include using balance scales, using decomposition (e.g., turning...
Curated OER
Regression Analysis
In this regression analysis worksheet, 9th graders solve 10 different word problems related to regression analysis. First, they use the information given to find a suitable function to model the data. Then, students use the model to...
Curated OER
Introductory Algebra Chapter 1 Review
In this math worksheet, learners solve the problems that involve linear equations. They substitute the values given for each variable.
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