Extra Credit Opportunity

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

How do you solve for m in the equation y = mx + b?

Back

To solve for m, rearrange the equation to get m = \frac{y - b}{x}.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

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How can you determine if a relation is a function?

Back

A relation is a function if each input (x-value) corresponds to exactly one output (y-value).

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What does the correlation coefficient r indicate?

Back

The correlation coefficient r measures the strength and direction of a linear relationship between two variables. Values close to 1 or -1 indicate strong relationships, while values close to 0 indicate weak relationships.

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What does a correlation coefficient of r = -0.89 signify?

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A correlation coefficient of r = -0.89 indicates a strong negative correlation, meaning as one variable increases, the other variable tends to decrease.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside parentheses.

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s).

Front

How do you graph a system of inequalities?

Back

To graph a system of inequalities, graph each inequality on the same coordinate plane and identify the overlapping region as the solution set.