If the absolute value of an expression equals a number, solve by setting. Every absolute value inequality is a compound inequality. Absolute value equations and inequalities absolute value definition the absolute value of x, is defined as. Here is a set of assignement problems for use by instructors to accompany the absolute value inequalities section of the solving equations and inequalities chapter of the notes for paul dawkins algebra course at lamar university. Once they find the answers, they then find their answer in the answer box to solve the riddle. Determine the type of number the absolute value expression is equal to a. Explain why the xcoordinates of the points where the graphs of the.
Solving absolute value equations practice riddle worksheet. Algebra solving absolute value equations practice riddle worksheet this is an 18 question riddle practice worksheet designed to practice and reinforce the concept of solving absolute value equations to find both of the answers. When faced with an absolute value equation, we need to correctly utilize the definition of absolute value. If the absolute value is set equal to a negative number, there is no solution. When solving absolute value equations, remember that there can be two solutions, because the absolute value of a number and its opposite are the same. When x is on both sides definitely check your solutions. See more ideas about absolute value, absolute value equations and teaching. Absolute value equations chapter exam instructions. A machine fills quaker oatmeal containers with 32 ounces of oatmeal. We can do the same thing to find the absolute value inequality for 35 and 45. By the way, related with absolute value equations worksheet, below we can see some similar photos to complete your references. Because the answer to an absolute expression is never negative, we then must realize that each unknown absolute value has the possibility of coming from either a positive or a negative value, producing then two solutions. A teachers guide precedes the fivepage worksheet on solving absolute value problems. Express that the distance between two numbers is the absolute value of their difference.
They are the same distance from 0 on the number line, but in opposite directions. For your answer choose the values that make the equation true. A graph of absolute value function is shown in each question. Finding the direction of the opening and slope of absolute value equations h. In the final two sections of this chapter we want to discuss solving equations and inequalities that contain absolute values. As we are solving absolute value equations it is important to be aware of special cases. To download worksheet on solving absolute value equations as pdf document, please click here. You can skip questions if you would like and come back.
This worksheet is perfect for prealgebra, algebra and algebra 2. Remember the result of an absolute value must always be positive. What we need to do is think about what the absolute value operation does to an expression. Absolute value equations and inequalities worksheet for. Students choose a letter and solve absolute value equations with this hangman activityworksheet. Jay high school santa rosa county florida september 22, 2001 solving absolute value equations checklist 1. How are absolute value equations like linear equations. This free worksheet contains 10 assignments each with 24 questions with answers.
The absolute value of an expression must be greater than or equal to 0. Then circle the correct answers to the math questions at the bottom of the page. O when solving inequalities of the form o, we need to find the intersection of these cases. Algebra equations absolute value equations easy youtube. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. On questions 1 thru 14, did the student evaluate the questions correctly. Solving absolute value inequalities combine the strategies you used in. A builtin message makes grading the practice as well as giving students feedback as they work a snap. Absolute value equations worksheet solve each equation. Even though the numbers 5 and 5 are different, they do have something in common. You will split each absolute value equation into two separate equations, then solve them to find your two solutions. Absolute value equations and inequalities, page 2 problems solve for x in each of the following equations or inequalities. Finding the vertex of an absolute value from a graph f. Before look at the worksheet, if you would like to know the basic stuff about solving absolute value equations.
The 2 separate inequalities come from when you split the inequality once the absolute value is isolated. To solve we need to find a way to reverse the operation of taking the absolute value. Solving absolute value equations is a bit more complicated than defining absolute values, and this quizworksheet combo will help you test your understanding of these. Absolute value equations worksheet 4 here is a 9 problem worksheet where you will solve some absolute value equations. This is because what is in the absolute value can be either negative or positive and we must account for both possibilities when solving equations. Choose your answers to the questions and click next to see the next set of questions. Absolute value graphs finish worksheet up to h videos. Worksheet given in this section will be much useful for the students who would like to practice solving absolute value equations. The number that 2 and 4 are the same distance from is the number between 2 and 4. E x2o051 2s nkzuut 5aw ks0ozf tt0w 4a r8eq 4l ql wc5. Identify what the isolated absolute value is set equal to a. Absolute value an ade mathematics lesson days 15 author ade content specialists grade level 9th grade duration five days aligns to connects to mathematics hs. Reading absolute value inequality graphs 1 variable from a number line e.
Finding the vertex of an absolute value from an equation g. Absolute value equations worksheet 3 here is a 9 problem worksheet where you will have the chance to solve some absolute value equations all by yourself. When solving equations with absolute value we can end up with more than one possible answer. See more ideas about absolute value, absolute value equations and algebra. Absolute value worksheets super teacher worksheets. To find the number that is between 2 and 4, taking the average of 2 and 4 will suffice. To develop a deeper understanding of absolute value equations and inequalities from the distance on a number line and writing sentences about that distance. Solving absolute value inequalities 1 variable on a number line d. The absolute value of a number is the number of units it is from 0 on the. Test each possible solution by replacing the variable with each possible value. The value inside the absolute value symbols is less than the positive value of. When solving equations with absolute value we can end up with.
We will look at equations with absolute value in them in this section and well look at inequalities in the next section. This worksheet has a series of questions about absolute and opposite values. A summary, essential question, launch and exploration activities are suggested to go along with the assignment. Absolute value equations when faced with an absolute value equation, we need to correctly utilize the definition of absolute value. Absolute value expressions simplifying worksheet 1 pdf view answers. Absolute value equations differentiated practice has a hangman twist. Absolute value equations worksheets math worksheets. Identify, add, subtract, multiply, and divide positive and negative integers. Example 1 solving absolute value equations solve the equation. Before look at the worksheet, if you would like to know, how to solve absolute value equations, please click here. It includes both addition and subtraction of absolute value of integers. Absolute value equations hangman by algebra simplified tpt. Write each answer in both set and interval notation, then describe the.