QZZ 4.1B / Unit 4 Systems of Equations Review

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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 solution to a system of equations graphically?

Back

To find the solution graphically, plot each equation on the same graph and identify the point(s) where the lines intersect.

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What does it mean for two equations to be consistent?

Back

Two equations are consistent if they have at least one solution (they intersect at one or more points).

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What does it mean for two equations to be inconsistent?

Back

Two equations are inconsistent if they have no solutions (they are parallel and never intersect).

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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 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.

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Back

This equation represents a straight line where 'm' is the slope and 'b' is the y-intercept.

Front

How do you determine the slope of a line from two points?

Back

Front

What is the y-intercept of an equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

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What is the significance of the point of intersection in a system of equations?

Back

The point of intersection represents the solution to the system, indicating the values of the variables that satisfy all equations in the system.