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Curated OER
Linear Equations and Their Graphs
In this Algebra I/Algebra II worksheet, students solve problems involving interpreting the slope of a linear equation as a rate of change. The two page worksheet contains a combination of seven multiple choice and free response...
Curated OER
Writing Linear Equations in Different Forms
Can your class write linear equations three different ways? Here is a study guide that includes slope-intercept, standard, and point-slope forms. Learners are given the slope and a point on the line, or two points and are asked to write...
Ed Migliore
Linear Equations in Two Variables
This traditional textbook style unit includes vocabulary, a direct explanation section, examples, practice problems that directly line up with the explanations and examples, and a unit summary review and practice problems. Learners get...
Concord Consortium
Function Project
What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a...
Illustrative Mathematics
Chocolate Bar Sales
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
Flipped Math
Graphing Functions to Solve Equations
Intersections become solutions. Scholars watch a video on using a graphing calculator to find the solution to an equation in one variable. While watching the presentation, pupils practice working some of the examples and compare their...
Illustrative Mathematics
Coffee by the Pound
This is a great exercise in graphing proportional quantities to interpret the unit rate as the slope of a graph. It is not easy for learners to understand what a unit rate is. When it is presented as the slope of a linear line graph,...
Regional Professional Development
Solving Systems of Equations by Graphing
With 30 problems, each accompanied by a blank graph, pupils get thorough practice solving systems of equations by graphing and finding the point of intersection. Answers are provided in coordinate form.
Da Vinci Design
Solving Systems of Equations
It can take a lot of time to create one worksheet. You're in luck with a set of five systems of equations worksheets! Each version has a first page solving with substitution, elimination, and graphing; followed with an assortment of...
Curated OER
Equation of a Straight Line Worksheet
In this equation of a straight line worksheet, high schoolers find the equation of 4 lines in slope intercept form. Students produce the linear equation of a line given its' graph.
Curated OER
Writing Linear Equations in Different Forms
This worksheet is jam-packed with linear equations! Learners write equations in slope-intercept form and standard form. Horizontal and vertical lines are included, as well as graphs for several of the problems. A great way to...
California Education Partners
Speedy Texting
Model the effects of practice on texting speed. Pupils develop a linear equation that models the change in texting speed based on the amount of practice. The sixth performance task in an eight-part series requires learners to solve...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Kuta Software
Equations in Standard Form - Solving Systems by Graphing
Get to graphing and figure out the solution between two lines using this 14-problem worksheet. Graphs are provided for the first eight problems, but requires learners to graph the remaining six separately.
Concord Consortium
"Equal" Equations
Different equations, same solution. Scholars first find a system with equations y1 and y2 that have a given solution. They then find a different system with equations y3 and y4 that have the same solution. The ultimate goal is to...
University of Utah
Explore Proportional and Linear Relationships
Progress from proportional relationships to linear functions. Pupils first review concepts of proportionality covered in earlier grades. They then extend these concepts to linear functions, such as determining the slope of a...
Curated OER
Other Equations of Lines
In this algebra worksheet, students find equations for 4 lines when given their slope and one point on the line. They write two linear equations when given two points on a line. Students analyze the equations of 3 sets of linear...
Curated OER
Math A Regents Questions: Points on a Line
In this linear equations worksheet, students solve 3 multiple choice problems. Students determine if a given point lies on a line given an equation of that line.
Curated OER
Lesson 6-7: Scatter Plots and Equations of Lines
In this scatter plot worksheet, learners examine tables and write a linear equation that matches the table. Students graph linear equations. They read scatter plots, determine the trend line, and write a linear equation to...
Curated OER
Linear Systems and Quadratics
In this algebra worksheet, students solve quadratic equations and linear equations. They graph their points and identify where the 2 intersect. There are 10 questions with an answer key.
Curated OER
Solving Linear Systems by Substitution
Practice solving two equations with two unknowns. Here are five problems for using the substitution method. Included are clear, concise step-by-step instructions for the learner to follow. Problems start out easy and gradually get...
Curated OER
Graphs: Linear Functions
In this linear function worksheet, students use tables to find the values of functions. They graph linear functions and explore the significance of the coordinates. This two-page worksheet contains 4 multi-step problems. Graph paper is...
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...