Curated OER
Systems of Linear Equations: Word Problems
In this linear equation worksheet, student read word problems and write and algebraic equations. They use systems of linear equations to solve the problem. This one-page worksheet contains six problems, with answers.
Curated OER
Writing Linear Equations Using a Given Point and Slope
In this linear equation worksheet, students write the linear equation of a line that passes through a given point. This one-page worksheet contains 15 problems, with answers.
Curated OER
Solving Linear Equations
In this linear equation worksheet, students solve basic linear equations containing positive and negative integers. Students show their algebra steps, as they solve for "x." The majority of the ten equations contain two terms, and a few...
Curated OER
Solving Systems of Linear Equations: Substitution Method
In this systems of equations worksheet, students use the substitution method to solve systems of linear equations. This one-page worksheet contains eight problems, with answers.
Curated OER
Two-Variable Linear Inequalities
Here is an engaging lesson plan on solving equations with two variables. Have the class rewrite linear equations in the slope intercept form, y=mx + b. They graph the lines using the slope and y-intercepts.
Curated OER
Linear Equations
This is a great lesson from start to finish. With partners and on their own, learners write and solve linear equations and inequalities. They use manipulatives, group work, and an included worksheet to make magic with their problem...
Curated OER
Rewriting Linear Equations in Slope-Intercept Form
In this linear equation worksheet, students write given equations in the slope-intercept form. They identify the slope and y-intercept. This one-page worksheet contains ten problems, with answers.
Curated OER
Writing Linear Equations Given Two Points
In this linear equation worksheet, learners write the equation of a line passing through two given points. This one-page worksheet contains 12 problems, with answers.
Curated OER
Graphing Linear Equations
Use this graphing worksheet to have learners evaluate and graph linear equations. A coordinate plane, for graphing, is provided below each equation. This one-page worksheet contains seven problems.
Curated OER
Linear or Exponential?
Your learners analyze various real-life contexts to decide if each is a linear or exponential model. This could be used as an assessment of learners' skills of discerning between a linear and an exponential model.
Curated OER
In the Billions and Linear Modeling
Your learners analyze population data to discern if it best fits a linear scenario. The idea of change by equal differences over equal intervals is enforced in this real-life task.
Curated OER
Linear and Quadratic Model, Data Modeling
Students model quadratic and linear equations. In this algebra lesson, students solve word problems using equations. They create scatter plots and make predictions using correlations.
Curated OER
Exponential Growth versus Linear Growth II
Your algebra learners discover that exponential functions, with a base larger than one, outgrow linear functions when the inputs increase sufficiently. Their analysis includes using a graphing calculator to produce tables.
EngageNY
Nonlinear Models in a Data Context
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the lesson, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in compost and...
EngageNY
Linear and Exponential Models—Comparing Growth Rates
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
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
Graphs of Linear Functions and Rate of Change
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
EngageNY
Modeling Linear Relationships
Math modeling is made easy with the first installment of a 16-part module that teaches pupils to model real-world situations as linear relationships. They create graphs, tables of values, and equations given verbal descriptions.
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...
Virginia Department of Education
Linear Modeling
An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the strength and...
EngageNY
An Application of Linear Equations
Just how far will the Facebook post go? Lead a discussion on how to manipulate the sum of a geometric series to figure out a formula to find the sum at any step. The plan contains an alternative to the discussion with more accessible...
EngageNY
The Graph of a Linear Equation in Two Variables Is a Line
Show your class that linear equations produce graphs of lines. The 20th segment in a unit of 33 provides proof that the graph of a two-variable linear equation is a line. Scholars graph linear equations using two points, either from...
EngageNY
Every Line is a Graph of a Linear Equation
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the equation...
EngageNY
Using Linear Models in a Data Context
Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...
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