These worksheets teach your students how to convert given information into linear equations for comparison.

How Do You Model Linear Equations? We use models to analyze relationships and make predictions related to those relations. Here, we will learn some useful steps to model linear equations and solve problems. Steps to Model Linear Equations and Solve Problems Usually, we will use the same method while modeling scenarios involve quantities with a constant rate of change. Even, we can use it for any kind of function. Let's review the following steps briefly; First of all, determine the changing quantities and then, represent them by defining descriptive variables. There should not be any mistake. Then, we will draw a picture or define a coordinate system. Understand what actually the problem is to get the vital information. Find useful information that values variables and parts of the functional model like initial value and slope value. Understand the problem and identify what we are trying to determine, interpret, or solve. Find a way to know the finding purpose through the given information. Include tracking units, building a table, or the process of finding a formula for the function you use to model the linear equation. Add a formula for the modeling whenever you need it. Solve the linear equation by using the formula. Justify your answer if it is reasonable for given situation or it mathematically make sense. Write your answer by using correct units and you can write your answers in full sentences.

We are often challenged with unique problems throughout our day. These problems will not only challenge us, but put us in a light to learn more about ourselves. Students will be confronted with a problem that asks them to convert a math sentence to an equation or expression. Often students will need to understand if the variable presented is gaining or losing a portion of the variable. These worksheets explain how to convert given information into linear equations for comparison. Students should already be familiar with the different formulas (slope intercept, for example).

Modeling Linear Equations Worksheets

Modeling with Linear Equations Lesson

Students learn how to model with linear equations by working with word problems. Example: When you rent a car from Rental Agency A, for one day there is a base fee of \$32 and you pay \$0.11 for each mile you drive. At Rental Agency B you pay a base fee of \$42 and get 150 miles free. After those they charge, \$0.27 per mile. Write a formula for the rental cost (c) in terms of the miles (m) driven, for Agency A and Agency B.

Lesson and Practice

All four items above are added to come up with the final price. Write an equation for the final price (P) of the book in terms of the commission (c) and graph the solution.

Worksheet

Students will model with linear equations from a word problem format. Ten problems are provided.

Practice

This worksheet has some real world applications. Example problem: Kate wants to publish and sell a 90-page book she wrote. The price for her book is set up this way: The binding fee is \$5.23 per book. The printing cost is \$0.05 per page. Kate can set her commission to be any amount she wants. The bookstore's commission is 1/5 of Kate's commission. All items above are added to come up with the final price. 1 Write an equation for the final price (P) of the book in terms of the commission (c).

Drill

Students will convert given information into linear equations for comparison. Eight problems are provided.

Skill Warm Up

Students demonstrate skill in convert given information into different formats for comparison. Three problems are provided.

Writing Linear Equations Lesson

Learn how to write the equation of the line that satisfies the given requirement.

Lesson and Practice

Determine the value s in the equation 3x – 10 = sy so that the graph of the equation passes through the point (-3, 7).

Worksheet

Students will use the information provided to write linear equations. Ten problems are provided.

Slope Intercept Practice

Write the given equations in the slope intercept form.

Writing Linear Equations Drill

Determine the equations of the following lines. Write them in standard form.

Linears Warm Up

Students demonstrate their skills when determining the value s in the given equations so that the graph of the equation passes through the point (-2, 3). Three problems are provided.