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What is an ordered pair in the context of solving equations?

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An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y). It is used to find solutions to equations by substituting the values into the equations.

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How do you solve for a variable in an equation?

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To solve for a variable, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) to maintain equality.

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What does a scatterplot represent?

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A scatterplot is a graphical representation of two variables, showing the relationship between them. Each point on the plot represents an observation.

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What is the purpose of making predictions based on a scatterplot?

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Making predictions based on a scatterplot helps estimate the value of one variable based on the value of another, using the trend shown in the data.

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What does it mean for an ordered pair to be a solution to a system of equations?

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An ordered pair is a solution to a system of equations if it satisfies all equations in the system when substituted into them.

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How do you interpret the slope of a line in a scatterplot?

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The slope of a line in a scatterplot indicates the rate of change between the two variables. A positive slope means that as one variable increases, the other also increases.

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What is the significance of the y-intercept in a linear equation?

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The y-intercept is the point where the line crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.

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How can you determine the best prediction from a scatterplot?

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To determine the best prediction, look for the point on the trend line that corresponds to the given value of the independent variable.

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What is the formula for finding the average rate of change between two points on a graph?

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