You have 10 feet of fencing to create a small garden. Your garden area looks like this. Write an equation for the area of the garden where y is the area of the garden and x represents the length of one side of the garden. Find the vertex of your equation.

Nonlinear Functions Functions can be classified in two different categories: A simple way to know differentiate between the two is to look at the output values when plugging in a number for an unknown variable.

If the output values have a difference that is constant, then the function will be classified as a linear equation; however, if the outputs do not have a constant difference then it will be classified as a nonlinear equation.

Another easy way to determine which of these functions you are dealing with is to graph it. By graphing these functions, you can tell if the line is straight or not. When graphed, a linear equation will have a straight line that has a constant slope.

In contrast to this, a nonlinear equation will have a graph that does not have a straight line and, depending on the function, can have many different appearances including a U-shape or an S-shape. Look at this example: Also, when you graph this equation you will see a straight line that shows that as x increases by 1, y increases by 2; therefore, this is a linear equation.

Compare to this example: When graphing this function, you will get a U-shaped graph that is very obviously not a straight line. As you can see here, x and y do not increase consistently and therefore this is a nonlinear equation. These functions may seem hard to differentiate at first, but by breaking it down and looking at the results of plugging in numbers for x and y, it will be easy to tell what kind of equation you are working with.

Simply look for a constant increase in y after plugging in values for x, or graph the equation and look for a straight line.

A linear equation will have constantly increasing y values and a straight line, while a nonlinear equation will have outputs increasing at a non-constant rate and a curved graph.

After awhile, determining these functions will become easy and you will be able to tell which function you have simply by looking at the equation itself.Use this 3 page worksheet on balancing chemical equations with answer key as homework, activity, notes, worksheet, or classwork.

Useful for high school, middle school, and home school.

Ex: If your two equations are 3x + 6y = 8 and x - 6y = 4, then you should write the first equation over the second, with the addition sign outside the quantity of the second system, showing that you'll be subtracting each of the terms in that equation. Free printable worksheet (pdf) and Answer Key on slope includes visual aides, model problems, exploratory activities, practice problems, and an online component Draw the picture of a line that has a positive slope. Draw a line that has a positive slope. The point here is that I need to look at the picture (hoping that the points really do cross at whole numbers, as it appears), and read the x-intercepts of the graph (and hence the solutions to the equation) from the picture.

Students will draw out products and reactants before they balance them. On this page you will find: a complete list of all of our math worksheets, lessons, math homework, and quizzes. All for the high school levels of Grade 9, Grade 10, Grade 11, and Grade These worksheets are geared for students between the ages of fifteen and nineteen.

Worksheet by Kuta Software LLC Use the information provided to Friday, April 26th Parabola and Ellipse Word Problems For each problem, draw a picture on a coordinate plane, clearly showing important points.

Then, write an equation and Worksheet Conics Day 4 Word Problems Name Friday, April 26 - Conic Sections Find the distance conic. If it says write a equation and solve each promblem how would you do a question that says find three consecutive integers with a sum of kuta software solving systems of equations by substitution; picture of ti graphing calculator handout;.

Write an equation for the area of the garden where y is the area of the garden and x represents the length of one side of the garden.

b. Find the vertex of your equation. Create your own math worksheets with our new Worksheet Generator.

Each worksheet is interactive, with a timer and instant scoring. Each worksheet is interactive, with a timer and instant scoring. Generate an unlimited number of custom math worksheets instantly.

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