Session 3 Solving Linear and Quadratic Equations and ...

Session 3 Solving Linear and Quadratic Equationsand absolute value Equations1 Solving EquationsAnequationis a statement expressing the equality of twomathematical expressions. It may have numeric and variable termson the left hand side (LHS) and similar terms on the right handside (RHS):LHS = RHS3x+2=27x 4We want tosolvethe equation, which means we want to get thevariable by itself on the left side and the numeric values bythemselves on the right side, if EquationsSolving an equation means finding the value (s) the variable cantake on to make the equation a true statement. Sometimes thereare no such values:x=x+1 Sometimes there are multiplesolutions:x2=4 This equation has twosolutions: 2 and Linear EquationsTo solve Linear Equations , we can use the additive andmultiplicative properties of additive property of equality:Ifa=b, thena+c=b+ we choosecto be the additive inverse of a term, we can add orsubtract it from both sides of the equation, and take steps toisolate the variable +x=53 3+x=5 3x=24 Solving Linear EquationsThe multiplicative property of equality:Ifa=b, thenac=bcIf we choosecto be the multiplicative inverse of a term, we canmultiply both sides of the equation by the multipl

Solving Linear and Quadratic Equations and Absolute Value Equations 1. ... Absolute Value Equations Recall: Absolute value refers to a number’s distance from 0 on ... Solving Absolute Value Equations Note that simplifying absolute values should come early in the

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  Linear, Value, Solving, Equations, Quadratic, Absolute, Absolute value equations, Absolute value, Solving linear and quadratic equations and, Solving linear and quadratic equations and absolute value equations

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