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This Concept Map, created with IHMC CmapTools, has information related to: MATH_algebra, intercepts are where the line touches the x and y axis, basic algebraic properties includes Reverse Distributive Property, linear equations can be verified if a point is on a line by Plugging in the point into the linear equation then seeing if both side are the same. If so then the point is on the line., dividing two exponents with the same base is m n m-n xix=x, taking the opposite is a+-a=0, parallel lines is when the slopes of the two lines are the same, Associative Property of Addition is (a + b) + c = a + (b + c), zero product property is if ab = 0, then a = 0 or b = 0 or both = 0, exponents use exponential rules, absolute values can be used in equations, Associative Property of Multiplication is (ab)c = a(bc), Distributive Property is a(b + c) = ab + ac, exponential rules are like taking a power to a power, proven at every step an example of which is <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtext> Given x+5x+6=0
Step 1: (x+2)(x+3)=0
Using division
Step 2: x+2=0 or x+3 =0
Using zero product property
x=-2 or x=-3
Using addition propery of equality </mtext> </math>, basic algebraic properties includes Commutative Property of Multiplication, deductive reasoning is like All apples are fruit Al fruit grow on trees. Therefore, all apples grow on trees., multiplying two exponents with the same base is m n m+n x⋅x=x, Multiplicative Identity Property is a • 1 = a, many rules including taking the opposite, inductive reasoning is making generalizations based on single observations