Math 1 Unit 4 Midterm Review

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What is a system of equations?

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A set of two or more equations with the same variables that are solved together.

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What does it mean to solve a system of equations graphically?

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It means to find the point(s) where the graphs of the equations intersect, which represents the solution(s) to the system.

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What is the elimination method in solving systems of equations?

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A method where you add or subtract equations to eliminate one variable, making it easier to solve for the other variable.

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What is the substitution method in solving systems of equations?

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A method where you solve one equation for one variable and substitute that expression into the other equation.

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What does it mean if a system of equations has no solution?

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It means that the lines represented by the equations are parallel and never intersect.

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What does it mean if a system of equations has infinitely many solutions?

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It means that the equations represent the same line, so every point on the line is a solution.

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How do you determine the x-value of the solution in a system of equations?

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You can find the x-value by solving the equations simultaneously or by finding the intersection point of the graphs.

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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, indicating the value of y when x=0.

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How can you check if your solution to a system of equations is correct?

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You can substitute the solution back into the original equations to see if both equations are satisfied.

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What is a linear equation?

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An equation that makes a straight line when graphed, typically in the form y = mx + b.