Chapter 5: Equations and linear relationships Notes
Harder linear equations and inequalities, equations of lines, parallel and perpendicular lines, distance and midpoint, applications of simultaneous equations, and regions on the Cartesian plane.
Sections
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5A Harder equations and inequalities Mastered
Solving linear equations with several algebraic fractions, and solving linear inequalities with fractions, brackets and negative coefficients.
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5B Coordinate geometry of lines Mastered
Equation of a line from two points, general form ax + by + c = 0, parallel and perpendicular lines, distance, midpoint and collinear points.
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5C Simultaneous equations in context Mastered
Applying simultaneous equations to comparing plans, break-even analysis, mixtures and other worded problems.
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5D Regions on the Cartesian plane Mastered
Extension: graphing linear inequalities as half-planes, dashed and solid boundaries, testing a point, and regions defined by several inequalities.
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