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8th Grade MathGuided NotesTwo Guided Color-codedInteractive Math Notebook Pages

DateSolutions to Linear Equations in One VariableThe of an equation is the value(s) of the variable(s) that make the equation a true statement. Equations in one variable can have solution, solutions or solution.Reasoning:What the typeof xample:OneSolutionInfiniteSolutionsNoSolutionOnly valuevaluevalueswill make the equation true. will make the equation true. will make the equation true. A conditional equation istrue for some values of x.An identity is always true,for any value of x.A contradiction is nevertrue for any value of x.𝟓𝒙 𝟏𝟓 𝟓𝒙 𝟏𝟓𝟒𝒙 𝟖 𝟒𝒙 𝟑 𝟒𝒙 𝟔 𝟏𝟖 . is the only numberthat makes the equation true. for x for xwill make the equation true.will make the equation true.Hints:End result still has aVariables cancel each otherVariables cancel each otherLook at bothsides of theequation.out and both sides of theout and both sides of theequationequation.and a .

DateDetermining the Type of SolutionSimplifiedEquationLook at theVariable Terms.One SolutionInfinite Many SolutionsNo Solution3x – 5 7x 32 4x 4x 28x 9 8x – 5The variable terms areVariable terms are the .Variable terms are the .Both sides .Both sides .Example One: Determine if the equation has one solution, infinite many solutions, or no solution.2(4x 5) 5(2x 4)both sides of the equation. Variable terms are . Equation can be . The equation has . The solution means.Example Two: Determine if the equation has one solution, infinite many solutions, or no solution.2(5x 4) – 11 4x 3(2x – 1)both sides of the equation. Variable terms are .and both sides are .The equation has . The solution means.Example Three: Determine if the equation has one solution, infinite many solutions, or no solution.– 4x 3(5x 6) 7(2x 1) – 3xboth sides of the equation. Variable terms are .and both sides are .The equation has . The solution means.

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8th Grade Math Guided Notes Two Guided Color-coded Interactive Math Notebook Pages. Solutions to Linear Equations in One Variable The _ of an equation is the value(s) of the variable(