Solving 1 and 2 Step Equations

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Presentation transcript:

Solving 1 and 2 Step Equations

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 – 3 + 3 = 2 + 3 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

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

Ex 1: Solve the following equations y + 2 = -6 b. m -8 = -14 c.

Ex 2: What is the solution to the following equations? 10 = 15x b. -3.2z = 14 c. d.

Ex 3: Solve 2x + 11 = 51 b. c. 10 + 2x = 20