This math video tutorial explains how to solve absolute value equations with variables on both sides. Youve been inactive for a while, logging you out in a few seconds. Improve your math knowledge with free questions in solve absolute value equations and thousands of other math skills. These printable worksheets can be used to teach your students about the absolute value of integers. Algebra absolute value equations practice problems. Equations worksheet 1 rtf absolute value equations worksheet 1 pdf.
Yesterday we discussed that the absolute value of a number is the numbers distance from zero on the number line. Integers, opposites, absolute value opposites and absolute values. When you encounter an absolute value question on the act math exam, it will often look pretty straightforward. Absolute value equations and inequalities absolute value definition the absolute value of x, is defined as. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Solving absolute value equations 2 cool math has free online cool math lessons, cool math games and fun math activities. Absolute value equations worksheet pdf and answer key. Identify what the isolated absolute value is set equal to a. Absolute value is simply the distance an integer is from zero on a number line. The purpose of this lesson is for my students to develop a conceptual understanding of what absolute value means, and apply it to solving absolute value equations and inequalities. Absolute value equations absolute value inequalities. The absolute value of a number will be 0 only if that number is 0.
Students will solve each equations and cut and paste the correct solution to the problem. If there is not a unique solution, state whether there is no solution or an infinite number of solutions. This activity should help students think about the possible. You will be asked to solve a fairly large absolute value equation. Absolute value equations worksheets for 6th grade and 7th grade. Step 2 the absolute value of a number is its distance from 0. In this case we have a quadratic in the absolute value bars. You should check each solution by plugging them into the given equation. If the absolute value is set equal to a negative number, there is no solution. Absolute value equations worksheet 3 pdf view answers. When solving equations with absolute value we can end up with more than one possible answer. Students will practice solving absolute value equations. The absolute value of a number is the number of units it is from 0 on the. When the absolute value is equal to zero, there is a single solution because zero is its own opposite.
Absolute values are always shown surrounded by two vertical bars. Really clear math lessons prealgebra, algebra, precalculus, cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. To this point weve only worked problems that have linear terms in the absolute value bars. To solve reallife problems such as finding the wavelengths of different colors of fireworks in exs.
This is the graph of the absolute value of a linear function. 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. Why you should learn it goal 2 goal 1 what you should learn 6. Absolute value equations worksheet 2 here is a another 16 problem multiple choice worksheet where you will determine the solutions to equations containing absolute value.
Below you can download some free math worksheets and practice. Ixl solve absolute value equations algebra 2 practice. Even though the numbers 5 and 5 are different, they do have something in common. They are the same distance from 0 on the number line, but in opposite directions. Ninth grade lesson solving absolute value equations and. Ixl solve absolute value equations algebra 1 practice. An extraneous solution is an apparent solution that must be rejected because it does not satisfy the original equation. If youre behind a web filter, please make sure that the domains. Absolute value equations are part of the algebra 1 standards but this is something my students need to see before studying transformation of absolute value functions which are in the algebra 2 standards.
Solve absolute value equations practice khan academy. So in the introduction activity, i have students complete a hands on activity with a table partner. Absolute value and reciprocal functions practice exam 1. Absolute value equations worksheet 4 here is a 9 problem worksheet where you will solve some absolute value equations. Worksheet given in this section will be much useful for the students who would like to practice problems on solving absolute value equations.
Absolute value and reciprocal functions practice exam answer section multiple choice 1. It contains plenty of examples and practice problems. Each problem asks the student to solve for the variable and graph the variable. Solving absolute value equations kuta software llc. Solving absolute value equations worksheets math worksheets. It is represented by two straight lines on either side of a number. O q pmla bdmef gwfi6tvh t kidn uf7i wn5imtfe f ba0l eg0e kb. This packet helps students practice how to solve absolute value inequalities. Equations absolute value equations distance, rate, time word problems mixture word problems work word problems one step equations multi step equations exponents graphing exponential functions operations and scientific notation properties of exponents writing scientific notation factoring by grouping common factor only special cases. By definition, the absolute value of an expression can never be negative. Before look at the worksheet, if you would like to know the basic stuff about solving absolute value equations, please click here. You will split each absolute value equation into two separate equations, then solve them to find your two solutions. O q pmla bdmef gwfi6tvh t kidn uf7i wn5imtfe f ba0l eg0e kb 8rsaa j2 l. Reteach solving absolutevalue equations and inequalities.
Absolute value equations and inequalities reporting category equations and inequalities topic solving absolute value equations and inequalities primary sol aii. A value becomes absolute if we decide to disregard the opposite negative nature of numbers. Explain why the xcoordinates of the points where the graphs of the equations yfx and ygx intersect are the solutions of the equation fxgx. Absolute value equations and inequalities cool math. Lets see if we can solve absolute value equations now. Here is a set of practice problems to accompany the absolute value equations section of the solving equations and inequalities chapter of the notes for paul dawkins algebra course at lamar university. The absolute value of a real number x, written 0x0, is its distance from zero on the number line. Graphing calculators will be used for solving and for confirming the algebraic solutions. Eleventh grade lesson absolute value equations betterlesson. 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.
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