The following are some examples of compound inequalities. A compound inequality is the combination of two or more inequalities. This solving compound inequalities worksheet is suitable for 9th grade. Solve and graph inequalitiesproblem solving with inequalitiessolve and graph compound inequalitiesabsolute value inequalitiesgraph l. Inequalities materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. This union is worked out as two separate inequalities and. Inequalities worksheets and quizzes inequalities worksheets. Solve compound inequalities mathematics libretexts. These worksheets are especially meant for prealgebra and algebra 1 courses grades 79. The first two have to do with plotting simple inequalities and writing an inequality from a number line graph.
Inequalities worksheets the pages below all have printable algebra worksheets for teaching students to solve and graph inequalities. This worksheet is a creative twist on boring, repetitive worksheets. Y c amta ld 0eb rw wi8tch r zi0n8f hicnti7tpe 0 oazl cg zevb brpan r2 t. The easiest way to print the worksheet is by selecting the print icon. For this type of inequality we want a true statment from either one inequality or the other inequality or both. Solving inequality worksheets using addition and subtraction solving inequality worksheets using multiplication and division one step inequality with graph worksheets solving inequality conjunctions worksheets solving inequality disjunctions worksheets compound inequality worksheets. Free worksheets for solving or graphing linear inequalities. You may select which type of inequality to use in the problems. Then, identify what we are looking for and assign a variable to represent it. Systems of equations and compound inequalities worksheets. Worksheet given in this section will be much useful for the students who would like to practice solving compound inequalities. This algebra 2 worksheet will produce compound inequalities problems for graphing.
A number x is greater than j8 and less than or equal to 4. Click on popout icon or print icon to worksheet to print or download. This quiz and worksheet combo will help you understand how to solve a compound inequality that uses and or or. Solving compound inequality worksheets lesson worksheets. Topics include basic singlevariable inequalities, as well as, onestep, twostep, and compound inequalities.
The endpoint on the right is an open endpoint, which represents greater than. Students match inequalities with its correct solution graph. Solving inequalities worksheet 1 here is a twelve problem worksheet featuring simple onestep inequalities. Each section except the first section contains three levels of compound inequalities worksheets based on either solving or graphing or both. Unions when an inequality is combined by the word or the compound inequality is formed.
Students need to solve inequalities and follow the arrows that include a value within the solution set of the inequality. Worksheets are solve each compound inequality and graph its, compound inequalities work, solve each compound inequality and graph its, compound inequalities, alg 1a, concept 11 writing graphing inequalities, solving inequalities date period. D n za 5l 8l t frni 8g fhkt 3sc 6rre ms4ehrnv pe6dz. By using this website, you agree to our cookie policy. Absolute value equations and inequalities absolute value definition the absolute value of x, is defined as. One step inequalities by adding and subtracting worksheets. Solving compound inequalities worksheet onlinemath4all. Graphing inequalities workheet 6 here is a 12 problem worksheet where students will both solve inequalities and graph inequalities on a number line. Compound inequalities algebra practice khan academy. Understanding equalities becomes easier with lots of good practice, and these thorough, engaging worksheets will help students do just that. My algebra students would love this as a change up from the normal boring worksheet. Several inequalities can be combined together to form what are called compound inequalities. Equations of lines worksheet thursday, february 2nd atmosphere picture inequalities compound inequalities book.
This foldable is perfect for a standalone lesson, revie. Download the inequalities algebra 1 worksheet pdf version and then print for best results. A compound inequality is an inequality that is formed by the union, or, or the intersection, and, of two simple inequalities. Graph each basic compound inequality in a number line at the correct interval. Create the worksheets you need with infinite algebra 1. A l 1mda9d ken 6wsi rt 4hw hinnbf ti7n nipt ie2 uajlagte 8b 0r4al y1e. There are three types of compound inequalities which we will investigate in this lesson. Compound inequalities worksheets school algebra, algebra. Coumpound inequality word problems lesson worksheets. The graph of a compound inequality with an and represents the intersection of the graph of the inequalities. When we are graphing these type of inequalities we will graph each individual inequality above the number line, then move them both down together onto the actual number line for our graph that combines them together. Ninth grade lesson solving compound inequalities betterlesson. A compound inequality contains at least two inequality symbols. Single variable inequalities on each of these printable prealgebra worksheets, students will solve, write, andor graph simple, onevariable inequalities.
Solving compound inequalities revisited date period. Students solve the compound inequality and then match it to the correct solution and number line. A compound inequality is made up of two inequalities connected by the word and or the word or. Solve linear inequalities involving the distributive property. Explore this compilation of worksheets to graph the linear inequality, write inequality of the graph, complete the inequality and more. This is a set of 4 worksheets on solving compound inequalities.
On each of these printable prealgebra worksheets, students will solve, write, andor graph simple, onevariable inequalities. Solving compound inequalities algebra 1, linear inequalitites. Next, restate the problem in one sentence to make it easy to translate into a compound inequality. Students solve the compound inequality and then match it to the correct solution and. Algebra 2 worksheets algebra activities algebra 1 numeracy math tutor teaching math teaching time math education online math courses. Recall the problem solving strategies are to first read the problem and make sure all the words are understood. Several inequalities can be combined together to form what are.
This was such a fun and engaging way for my students to practice working with solving and graphing compound inequalities. Absolute value is the distance a number is from zero. Algebra 1 inequalities worksheets compound inequalities. This prealgebra worksheet will produce graphing problems for one step inequalities by adding and subtracting. An emphasis on graphing the solution set and writing the solution set in setbuilder notation is included. So if we put absolute value and inequalities together, it means that we.
The worksheet has one path from start to finish, where students will solve 11 inequalities. This algebra 1 worksheet will produce compound inequalities problems for graphing. Compound inequalities worksheets each section except the first section contains three levels of compound inequalities worksheets based on either solving or graphing or both. Use inverse operations or mental math to solve for x. For example, the following are compound inequalities. Assist students to ascend the ladder of inequalities with ease as they progress from solving onestep to multistep inequalities, followed by solving compound, absolute and quadratic inequalities. First, they graph the solution set of each compound inequality. Solve the absolute value inequalities and graph the solution using the number lines. The inequalities are x 3 or x 6287,21 the graphs do not intersect, so it represents a union. Solving linear inequalities worksheet 1 solve following linear inequalities 1. This compound inequalities foldable covers solving and and or compound inequalities, and writing compound inequalities from a graph. You may select the operations used in the inequalities. Find the roots of the corresponding quadratic equation.
To solve a compound inequality, first separate it into two inequalities. Manipulate and solve the inequality, paying attention to the properties of inequalities and the rules for solving them. Use the roots to divide the number line into regions. Determine whether the answer should be a union of sets or or an intersection of sets and.
Displaying all worksheets related to solving compound inequality. Solving compound inequalities worksheet for 9th grade. With this worksheet generator, you can make customizable worksheets for linear inequalities in one variable. When two inequalities are joined by the word or, the solution is any value that works in one inequality or the other or both. Solving compound inequalities revisited solve each. Feb 29, 2020 solve compound inequalities with and now that we know how to solve linear inequalities, the next step is to look at compound inequalities. Solve each compound inequality and graph its solution. The extend activity requires students to combine two different inequalities into one. Solve the following inequality and graph the solution. So z can satisfy this or z can satisfy this over here. This doesnt mean that your variable has to be positive, but your final answer will be. Identify what the isolated absolute value is set equal to a.
Displaying all worksheets related to systems of equations and compound inequalities. Solve, graph and give interval notation to the solution of compound inequalities. Inequalities solve each system of inequalities by graphing 4 vertices inequalities solve each system of inequalities. Compound inequalities worksheets math worksheets 4 kids.
The levels are classified based on the number of steps that required solving compound inequalities. My algebra students loved this compound inequalities activity worksheet. Multistep inequalities date period scarsdale public schools. When we use inequalities, we have more than one answer that can solve our problem. Each high school pdf worksheet contains 10 multiple choices only eight in. Compound inequalities with solutions teaching resources. Solving compound inequalities pleasantville high school. A number is a solution to the compound inequality if. In this compound inequalities worksheet, 9th graders solve and complete 7 different problems that include graphing various inequalities on a number line given.
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