8th Math Semester 1 Final

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What is the DOMAIN of a graph in Set Builder Notation?

Back

The DOMAIN of a graph is the set of all possible x-values. For example, for the graph with the domain {x | -4 ≤ x ≤ 3}, x can take any value from -4 to 3.

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Back

The y-intercept is the value of y when x = 0. In this case, it represents the initial cost of $7 when no items are purchased.

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What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot. It minimizes the distance between the line and all the points.

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Back

This equation could describe a situation where there are 120 gallons of water in a tank, and it releases water at a rate of 25 gallons per minute.

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Back

This equation has no solution because the left side will never equal the right side.

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What is Set Builder Notation?

Back

Set Builder Notation is a mathematical notation for describing a set by stating the properties that its members must satisfy.

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What is the slope of a line?

Back

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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What does it mean if a line is an accurate line estimate of best fit?

Back

It means that the line closely follows the trend of the data points, providing a good representation of the relationship between the variables.

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

Back

The y-intercept indicates the value of y when x is zero, often representing a starting point in real-world scenarios.

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What is the difference between one solution, no solution, and infinite solutions in equations?

Back

One solution means there is a unique answer, no solution means the equations contradict each other, and infinite solutions mean there are countless answers that satisfy the equation.