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Solving 1 and 2 Step Equations
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Properties of Equality
Addition Property of Equality: Adding the same number to both side of the equation produces an equivalent equation. For any real numbers a, b, and c, if a = b, then a + c = b + c x – 3 = 2 x – = Subtraction Property of Equality: Subtracting the same number to both sides of the equation produces an equivalent equation. For any real numbers a, b, and c, if a = b, then a – c = b – c x + 3 = 6 x + 3 – 3 = 6 - 3
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Properties of Equality Continued
Multiplication Property of Equality: Multipling each side of the equation by same nonzero number produces an equivalent equation. For any numbers a, b, and c, if a = b then a c = b c Division Property of Equality: Dividing each side of the equation by the same nonzero number produces an equivalent equation. For any numbers a, b, and c, if a = b then 3x = 12
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Ex 1: Solve the following equations
y + 2 = b. m -8 = -14 c.
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Ex 2: What is the solution to the following equations?
10 = 15x b z = 14 c d.
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Ex 3: Solve 2x + 11 = b. c x = 20
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