Then they must graph the solution in their notes, a 15. You must be 16 years old or older to get your drivers license. I show students the difference between the graph of this solution and the graph of all the other three inequality symbols. To get the pdf worksheet, simply push the button titled create pdf or make pdf worksheet. Food drive your school wants to collect at least 5000 pounds of food for a food drive. Here are two practice worksheets graphing systems of inequalities.
Throughout the warm up, guided notes, practice, and lesson, students should gain a conceptual understanding of why these different methods for solving a system of equations work. Whenever you multiply or divide both sides of an inequality by a negative number, you must flip the inequality symbol. Kids against hunger pythagorean theorem story problems pgs. Now an inequality uses a greater than, less than symbol, and all that we have to do to graph an inequality is find the the number, 3 in this case and color in everything above or below it.
Graphing systems of linear inequalities in two variables virginia. When two simple inequalities are combined into one statement by the words and or or, the result is called a compound inequality. I must have still been halfasleep when i typed up these notes because i called it the golden rule of inequalities. Fill in the blank with the inequality sign that represents each. Complete 2 of the following tasks ixl practice worksheets creating k1, k2 alg 1 at least to 85. Graphing inequalities notes and activities, common core standard. Multistep inequalities notes and partner activitythis product includes notes with practice problems on solving and graphing multistep inequalities. If the inequality is, graph the equation as a dotted line. We can represent the solutions to these equations and inequalities by graphing them on a number line. The graphing of the actual lines for inequalities is the same when graphing equalities. Graphing inequalities guided notes graphing inequalities practice page graphing inequalities frayer models for vocabulary practice2 different warmups 2 per page2 different exit slips. Before i begin, i will ask my students to use the table at the top of their notes to write down the four inequality symbols and their corresponding symbol on a number line shaded circle or unshaded circle we will start off by graphing the line y 3x 4 the same way y 3x 4 would be graphed. If you multiply or divide by a negative number you must switch the sign. Solve and graph inequalities solve and graph inequalities solve and graph multistep inequalities inequality word problems independent inequality word problems inequalities unit assessment solve and graph inequalities notes solve and graph inequalities notes inequality word translation flash card sort day 1 solve and graph inequalities.
Tell whether the ordered pair is a solution of the inequality. There are two version of the notes, one where students also write answers in interval notation, and. To graph the solution to an inequality with one variable. If it is in the shaded area or on the closed circle, it is a solution. Notes inequalities one variable, linear, and systems one.
They must raise their hand to show me their solution and receive the classwork. Write and graph an inequality to describe the amount of food that your school hopes to collect. Graph paper or individual dryerase boards with the coordinate plane. Graphing inequalities to graph an inequality, treat the, or. Inequality symbols symbols q r key phrases less than or fewer than greater than or more than less than or equal to or at most or no more than is greater than or equal to or at least or no less than writing an inequality examples. Free worksheets for solving or graphing linear inequalities. Unions when an inequality is combined by the word or the compound inequality is formed. If the inequality does not have y by itself, you need to rewrite it. Systems of inequalities practice graphing and modeling teaching. Graphing inequalities guided notes graphing inequalities practice page graphing inequalities frayer models for vocabulary practice. Substituting values for x and y into an equation to determine if the inequality is true or false. Seventh grade lesson graphing inequalities on a number line. Writing inequalities these are words you should know. Inequalities explore narrative this lesson is taking a skill that students are proficient with hopefully and pushing it a step further.
Save some time with these graphing linear inequalities notes that focus on graphing linear inequalities and systems of linear inequalities and how to make sense of the solutions. Graphing the solution to an inequality and a system of inequalities. Draw a number line, and mark all the solutions and critical values from steps 2 and 3 5. I then model graphing on a number line with the example x 3. Wednesday 24 solving and graphing inequalities 2, homework finish all notes 7r 24 notes. For todays direct instruction, students will follow along using these guided notes. Powered by create your own unique website with customizable templates.
Students should already have an understanding of how to graph linear equations and systems of equations. Determine all values that make the denominator zero 4. The set of all solutions of an inequality is called the solution set. The points are spaced according to the value of the number they correspond to. The notes cover graphing inequalities on a number line, solving with addition and subtraction, solving with multiplication and division, and solving multistep inequalities. In this lesson we will determine if particular points will lie on the graph of an inequality. An introduction to solving and graphing inequalities brief overview. Graphing an inequality in 2 dimensional space a graph with 2 variables is similar to graphing an inequality on the number line. Since this is a union, unite the two graphs into one compound graph. Graphing solution region of inequalities sharp global. Selection file type icon file name description size revision time user.
How can i tell the difference between an expression, equation and an inequality. Graph the solutions to a linear inequality in two variables as a halfplane excluding. Notes and examples if you recall from earlier discussions, inequalities have an infinite number of solutions. Students will apply their equation solving ability to inequalities mathematical practice 7 which require a graph of the solution. Graphing linear inequalities notes to graph a linear inequality, we need to know the slope and yintercept. The inequality already has y on the left and everything else on the right, so no need to rearrange. Students will then complete the worksheet graphing inequalities independently. The first section explains how to graph an inequality on the xyplane. The inequalities you have seen so far are simple inequalities. Coordinate algebra compound inequalities notes date. Solving inequalities is the same as solving equations.
Notes inequalities one variable, linear, and systems. Notes inequalities one variable, linear, and systems one variable inequalities inequality symbols. Determine for each of the following inequalities whether the point given lies on the graph. Graphing inequalities on a number line number line recall that a number line is a horizontal line that has points which correspond to numbers. To find the xintercept, set the numerator equal to 0 and solve this makes the expression 0 and since every point on the xaxis has a y value of 0, it should make sense to you. This is a set of guided notes for teaching students how to solve an graph inequalities.
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