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2.4 Reasoning w props from Alg

2.4 Reasoning w props from Alg - then a=c • Substitution...

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2.4 Reasoning with Properties from Algebra p. 96

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Properties of Equality Properties of Equality Addition property of equality- if a=b, then a+c=b+c. (can add the same #, c, to both sides of an equation) Subtraction property of equality - If a=b, then a-c=b-c. (can subtract the same #, c, from both sides of an equation) Multiplication prop. of equality- if a=b, then ac=bc. Division prop. of equality- if a=b, then c b c a =
Properties of = (cont.) Properties of = (cont.) Reflexive prop. of equality- a=a Symmetric prop of equality- if a=b, then b=a. Transitive prop of equality- if a=b and b=c,

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Unformatted text preview: then a=c. • Substitution prop of equality-if a=b, then a can be plugged in for b and vice versa. • Distributive prop.-a(b+c)=ab+ac OR (b+c)a=ba+ca Ex: Solve the equation & write a reason for each step. 1. 2(3x+1)=5x+14 2. 6x+2=5x+14 3. x+2=14 4. x=12 1. Given 2. Distributive prop 3. Subtraction prop of = 4. Subtraction prop of = Solve 55z-3(9z+12)=-64 & write a reason for each step. 1. 55z-3(9z+12)=-64 2. 55z-27z-36=-64 3. 28z-36=-64 1. 28z=-28 2. z=-1 1. Given 2. Distributive prop 3. Simplify (or collect like terms) 4. Addition prop of = 5. Division prop of = Assignment Assignment...
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2.4 Reasoning w props from Alg - then a=c • Substitution...

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