Systems of Equations Word Problems

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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 point(s) where the equations intersect.

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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 ensure they reflect the problem's context.

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What does 's' and 'c' represent in the ticket sales problem?

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In the ticket sales problem, 's' represents the number of senior citizen tickets sold, and 'c' represents the number of child tickets sold.

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What is the first step in solving a system of equations?

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The first step is to write the equations based on the information given in the problem.

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

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Substitute the solution back into the original equations to see if both equations are satisfied.

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

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If two lines are parallel, it means there is no solution to the system, as the lines never intersect.

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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 then 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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In the context of the cookie sales problem, what do the variables represent?

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In the cookie sales problem, 's' represents the number of packages of sugar cookies, and 'o' represents the number of packages of oatmeal cookies.

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What is the total value of coins in the boy's problem?

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The total value of the coins is $4.90.