Systems of eq and ineq REVIEW

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What is a system of inequalities?

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A system of inequalities is a set of two or more inequalities with the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Tags

CCSS.HSA.REI.D.12

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How do you determine if a point is a solution to a system of inequalities?

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To determine if a point is a solution, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

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What is the slope of a line?

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The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

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CCSS.8.EE.B.5

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How do you calculate the slope between two points (x1, y1) and (x2, y2)?

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Tags

CCSS.8.EE.B.5

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What is the slope of the line through points (8,2) and (-2,-6)?

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CCSS.8.EE.B.5

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What is the equation of a line in slope-intercept form?

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CCSS.8.F.A.3

CCSS.8.EE.B.6

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What does the constant of proportionality represent in a linear equation?

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CCSS.HSF-LE.A.1B

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What is the graphical representation of inequalities?

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Inequalities are represented graphically by shading the region of the graph that satisfies the inequality, with boundary lines indicating whether the line is included (solid) or excluded (dashed).

Tags

CCSS.HSA.REI.D.12

Front

Back

Tags

CCSS.HSA.REI.D.12

Front

What does the solution set of a system of inequalities look like?

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The solution set of a system of inequalities is the overlapping shaded region of the graphs of the individual inequalities.

Tags

CCSS.HSA.REI.D.12