Algebra 2 - 1st Semester Review

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What is the linear regression equation?

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A linear regression equation models the relationship between two variables by fitting a linear equation to observed data. It is typically expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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How do you calculate the slope in a linear regression?

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The slope (m) in a linear regression is calculated as m = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2), where n is the number of data points.

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What is a quadratic equation?

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What is the quadratic formula?

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What does it mean for a quadratic equation to have complex solutions?

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Complex solutions occur when the discriminant (b^2 - 4ac) is less than zero, indicating that the parabola does not intersect the x-axis.

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. Solutions to the system are the values that satisfy all equations simultaneously.

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What is the method of substitution in solving systems of equations?

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The method of substitution involves solving one equation for one variable and then substituting that expression into the other equation.

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What is the method of elimination in solving systems of equations?

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The method of elimination involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.

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What are matrices?

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Matrices are rectangular arrays of numbers or variables arranged in rows and columns, used to represent and solve systems of equations.

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How do you perform matrix multiplication?

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To multiply two matrices, the number of columns in the first matrix must equal the number of rows in the second. The element in the resulting matrix is the dot product of the corresponding row and column.