Systems Word Problems Practice

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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. The solution is the set of values that satisfy all equations in the system.

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How do you represent a word problem as a system of equations?

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Identify the variables, translate the relationships and conditions into equations, and express them as a system.

Front

What does it mean to solve a system of equations?

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To find the values of the variables that make all equations in the system true.

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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 substituting that expression into the other equation.

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What is the elimination method in solving systems of equations?

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

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How can you check the solution of a system of equations?

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Substitute the values of the variables back into the original equations to verify that they hold true.

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What is a linear equation?

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A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

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What is the meaning of 'x' and 'y' in a system of equations?

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In a system of equations, 'x' and 'y' typically represent the unknown variables that we are trying to solve for.

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What is a word problem?

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A word problem is a mathematical problem presented in a narrative form, requiring interpretation and translation into mathematical expressions.

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How do you determine the number of solutions in a system of equations?

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A system can have one solution (intersecting lines), no solution (parallel lines), or infinitely many solutions (same line).