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This Concept Map, created with IHMC CmapTools, has information related to: algebra concept map, logical reasoning includes hypothesis, Factoring an example of which is There is a rectangle with base 2x+2 and height 6x-1. Find the perimeter and area of the rectangle., linear inequalities are graphed by 1. finding the line 2. determining dotted or whole 3. which side to shade, logical reasoning includes counterexamples, the distributive porperty can be applied here like this 4(3x-6)-5(2x-3)=12 can be converted to 12x-24-10x+15=12 combining like terms creates 2x-9=12, finding the reciprocal is <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mfrac> <mtext> 4 </mtext> <mtext> 3 </mtext> </mfrac> <mtext> ⋅ </mtext> <mfrac> <mtext> 3 </mtext> <mtext> 4 </mtext> </mfrac> <mtext> =1 </mtext> </mrow> </math>, many properties including basic algebraic properties, inequalities can be applied here like this The cost to rent a construction crane is $750 per day plus $250 per hour of use. What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed $2500 per day?, Multiplicative Identity Property is a • 1 = a, exponential rules are like multiplying two exponents with the same base, taking the opposite is a+-a=0, systems of equations can be solved using substitution, elimination is used to solve systems of linear equations by first eliminating one variable to find one of the points, then substituting to find the other, exponents use exponential rules, Algebra uses logical reasoning, perpendicular lines can be found by finding the negative inverse of the slope of the line, divided by Factoring, deductive reasoning is reasoning where conclusions are made by logically following the premises, properties of zero include zero product property, inequalities can be solved like this <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> 3(x+7)+6(3x+2)≥0 can be converted to 3x+21+18x+12≥0 combinig like terms creates 21x+33≥0 subtracting 33 from both sides makes 21x≥-33 dividing both sides by 21 then simplifying makes x≥-11/7 </mtext> </mrow> </math>