When faced with an absolute value equation we need to correctly utilize the definition of absolute value. This free worksheet contains 10 assignments each with 24 questions with answers.
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Solving linear equations absolute value objective.
Absolute value equations worksheet answers. Absolute value equations and inequalities absolute value definition the absolute value of x is defined as 0 0 where x is called the argument steps for solving linear absolute value equations. E x2o051 2s nkzuut 5aw ks0ozf tt0w 4a r8eq 4l ql wc5 m 9 la kl fl b 9rzi ugrh 5txs8 xrkezsiejrkvnezdq 5 j hm pazd lel iw 4iatth 8 4itnhfoijn piwt2ev ja tlbgreub9rba k x2s r worksheet by kuta software llc kuta software infinite algebra 2 name solving absolute value equations date period. You should check each solution by plugging them into the given equation.
Whichever pair of solutions makes the equation true is the correct answer. Let x be some variable or algebraic expression. Absolute value equations worksheet 1 here is a 16 problem multiple choice worksheet where you will determine the solutions to equations containing absolute value.
11 out of 14 55. Your students will use this collection of worksheets to learn about absolute values and how to solve algebraic equations that contain them. 12 out of 14 60 points d.
This is because an absolute value cannot be negative. Plus model problems explained step by step. 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.
Solve linear absolute value equations. On questions 1 thru 14 did the student evaluate the questions correctly. Solving absolute value equations is a bit more complicated than defining absolute values and this quiz worksheet combo will help you test your understanding of these equations and how to solve them.
This is because what is in the absolute value can be either nega tive or positive and we must account for both possibilities when solving equations. When solving equations with absolute value we can end up with more than one possible answer. 33 scaffolded questions that start relatively easy and end with some real challenges.
If the end value of the stated expression is less than zero the equation has no solution. All 14 70 points b. Isolate the absolute value.
13 out of 14 65 points c. You should check each solution by plugging them into the given equation. Free worksheet pdf and answer key on solving absolute value equations.
Identify what the isolated absolute value is set equal to a. We will also learn how to express these values on a number line. Whichever pair of solutions makes the equation true is the correct answer.
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