Math 1 Interim Unit 3 Assessment

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What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect on a graph.

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How do you find the point of intersection of two lines represented by equations?

Back

To find the point of intersection, solve the system of equations simultaneously, either by substitution or elimination methods.

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What does it mean if two lines are parallel in a system of equations?

Back

If two lines are parallel, they have no points of intersection, meaning there is no solution to the system of equations.

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What is the substitution method in solving systems of equations?

Back

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

Front

What is the elimination method in solving systems of equations?

Back

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

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What does the solution (x, y) represent in a system of equations?

Back

The solution (x, y) represents the coordinates of the point where the graphs of the equations intersect.

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How can you estimate the solution of a system of equations from a graph?

Back

You can estimate the solution by identifying the point where the two lines intersect on the graph.

Front

What is the significance of the coefficients in a linear equation?

Back

Front

What is a linear equation?

Back

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What does it mean for a system of equations to have infinitely many solutions?

Back

A system has infinitely many solutions if the equations represent the same line, meaning every point on the line is a solution.