#22.3 Systems Practice

Front

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.

Front

What does it mean to solve a system of equations by elimination?

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

Front

What is the substitution method in solving systems of equations?

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

Front

What is the first step in solving a system by substitution?

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Make sure at least one equation is solved for one variable.

Front

How do you determine if a point is a solution to a system of equations?

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Substitute the point's coordinates into both equations. If both equations are true, the point is a solution.

Front

What is the slope-intercept form of a linear equation?

Back

Front

What is the standard form of a linear equation?

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Front

What is the graphical method for solving systems of equations?

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The graphical method involves graphing each equation on the same coordinate plane and identifying the point(s) where they intersect.

Front

What is the value of the solution to the system: 4x + 4y = 4 and 3x + 4y = 10?

Back

The solution is (-6, 7).

Front

What is the total value of a bag containing 39 coins of quarters and nickels if it equals $6.35?

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