Solving Absolute Value Equations and Inequalities

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 : i.e. + = 1. Isolate the absolute value. 2. Identify what the isolated absolute value is set equal to… a.

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Algebra II Vocabulary Word Wall Cards

Absolute Value Order of Operations Expression Variable Coefficient Term ... Equations and Inequalities Zero Product Property Solutions or Roots Zeros x-Intercepts Coordinate Plane ... Absolute Value Inequalities Linear Equation (standard form) …

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Algebra I Vocabulary Word Wall Cards

Absolute Value Order of Operations Expression Variable Coefficient Term Scientific Notation Exponential Form Negative Exponent Zero Exponent ... Equations and Inequalities Zero Product Property Solutions or Roots Zeros x-Intercepts Coordinate Plane Literal Equation Vertical Line

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B.4 Solving Inequalities Algebraically and Graphically

Inequalities Involving Absolute Value Solving an Absolute Value Inequality Let x be a variable or an algebraic expression and let a be a real number such that a ≥ 0. 1. The solutions of |x|< a are all values of x that lie between -a and a |x|< a if and only if -a < x < a Double inequality 2.

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Solving Equations—Quick Reference

Solving Equations—Quick Reference Integer Rules Addition: • If the signs are the same, add the numbers and keep the sign. • If the signs are different, subtract the num-bers and keep the sign of the number with the largest absolute value. Subtraction: Add the opposite Keep—Change—Change • Keep the first number the same.

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Algebra Cheat Sheets - menifee.k12.ky.us

Inequalities Step 3. Get all the variables on the left and all the numbers on the right of the sign by adding opposites. Step 4. Divide by the positive value of the variable’s coefficient. Step 5. If the variable is negative, divide by –1 and reverse the sign. Solving Inequalities – Examples –2d + 3 < –7 1. –3 = –3 –2d < –10 2 ...

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College Algebra

College Algebra Version p 3 = 1:7320508075688772::: by Carl Stitz, Ph.D. Jeff Zeager, Ph.D. Lakeland Community College Lorain County Community College