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Published byAnabel Teresa Lee Modified over 5 years ago

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1 – 3 Solving Linear Equations Objective: CA 1.0: Students solve equations and inequalities involving absolute value.

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An equation is a statement in which the expressions are equal. A linear equation in one variable is an equation that can be written in the form ax = b where a and b are constants and a 0.

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A number is a solution of an equation if the statement is true when the number is substituted for the variable. Two equations are equivalent if they have the same solution.

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Transformations that produce equivalent equations. Addition Property of Equality: Add the same number to both sides. If a = b then a + c = b + c

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Subtraction Property of Equality: Subtract the same number from both sides. If a = b then a – c = b – c. Multiplication Property of Equality: Multiply both sides by the same nonzero number If a = b and c 0, then ac = bc

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Division Property of Equality: Divide both sides by the same nonzero number. If a = b and c 0 then

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Solving an Equation with one variable Solve: 3 x = 6 7 3 x = 42 x = 14

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Solve an Equation with a variable on both sides Solve: 5n + 16 = 7n 16 = 2n 8 = n

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Using the distributive property Solve: 12x – 20 = 2x – 16 – 6x 12x – 20 = -4x - 16 16x – 20 = -16 16x = 4 So, x = ¼

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Solving an equation with fractions Solve:

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Using Linear Equations in Real Life. A real estate broker’s salary is $18,000. She earns 4% commission on total sales. How much did she sell to earn $55,000? Total Income = Base Salary + Commission Rate x Total Sales.

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HOMEWORK Page 22: #17-41 EOO. Check your solutions!!! Quiz tomorrow

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