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1.6 Practice - Absolute Value Equations Solve each equation. 1) |x|=8 3) |b|=1 5) |5+8a|=53 7) |3k+8|=2 9) |9+7x|=30 11) |8+6m|=50 13) |6−2x|=24 15) −7|−3−3r|=−21 17) 7|−7x−3|=21 19) |−4b−10| 8 =3 21) 8|x+7|−3=5 ... Answers to Absolute Value Equations 1) 8, −8 2) 7,−7
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The absolute value function is commonly used to determine the distance between two numbers on the number line. Given two values a and b, then a − b will give the distance, a positive quantity, between these values, regardless of which value is larger.
Problems 1. Suppose δ is a positive real number (δ is the lowercase Greek letter delta). How do you describe all real numbers x that are within δ of 0 as pictured on the line below? δ δ0 (a) Using inequalities (<,>). (b) Using absolute value notation. (c) Using interval notation. 2. This problem is like problem 1 except that we are using a ...
Steps for Solving Linear Absolute Value Equations: i.e. + =. Isolate the absolute value. Identify what the isolated absolute value is set equal to... If the absolute value is set equal to zero, remove absolute value symbols & solve the equation to get one solution. If the absolute value is set.
Worksheet by Kuta Software LLC. Kuta Software - Infinite Algebra 1. Absolute Value Equations. Solve each equation. 1) 6 m = 42. {7, −7} 3) k − 10 = 3. {13, 7} 5) 7 + p.
How to solve absolute value equations 1) Isolate the absolute value. 2) Split into two separate equations, setting one to the negative and one to the positive. Example: | 2x + 6 | - 3 = 13 1) Isolate the absolute value: ** The steps are the same as if you were getting the x by itself. You move away all other numbers by doing the opposite ...
