Linear Relations: Review

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Match the following linear equations with their transformations:

y = -x = Reflection through the y-axis y = 2x = Rotation about the origin to make the line twice as steep y = -3x + 5 = No transformation applied y = 3x + 125 = No transformation applied

Match the following symbols with their meanings in linear equations:

x + y ≥ -1 = Graphing a linear inequality $125 = Amount raised by Mr. Zhang's class (15, 200) = Selling 15 muffins and raising $200 in total $3 each = Price at which muffins are sold

Match the following actions with their descriptions in linear relations:

Graphing the inequality = Representing a situation visually Choosing a point from the solution set = Illustrating a valid solution Defining variables in an inequality = Establishing unknown quantities Describing the meaning of a point = Interpreting a specific solution

Match the following concepts with their corresponding examples in linear equations:

Solving systems of linear equations = Determining intersection points of multiple lines Applications of linear equations = Calculating total money raised in a fundraiser Graphing linear inequalities = Shading regions on a coordinate plane Slope-intercept form = Representing a line as y = mx + b

Review key concepts of linear relations with a comparison of two upward sloping lines and their corresponding equations. Understand how to graph these lines and interpret their meanings.

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