Multistep Equations Word Problems

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What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

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How do you set up an equation from a word problem?

Back

Identify the variables, translate the words into mathematical expressions, and set up an equation based on the relationships described in the problem.

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What does it mean for two costs to be equal in a word problem?

Back

It means that the total expenses from two different options are the same, allowing for comparison to determine which option is more economical.

Front

How do you solve for a variable in a multistep equation?

Back

Isolate the variable on one side of the equation by performing inverse operations, such as adding, subtracting, multiplying, or dividing.

Front

What is the first step in solving a multistep equation?

Back

The first step is to simplify both sides of the equation if possible, which may include combining like terms or distributing.

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What is the significance of a flat fee in a word problem?

Back

A flat fee is a constant charge that does not change regardless of the quantity or time, serving as a baseline cost in calculations.

Front

How do you determine the number of rides for equal costs at two fairs?

Back

Set up an equation where the total cost of rides at both fairs is equal, then solve for the variable representing the number of rides.

Front

What is the formula for calculating total cost in a word problem?

Back

Total Cost = Fixed Cost + (Variable Cost per Unit × Number of Units) where fixed cost is constant and variable cost changes with quantity.

Front

How do you interpret the solution of a multistep equation?

Back

The solution represents the value of the variable that makes the equation true, often corresponding to a real-world quantity in the context of the problem.

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What is the role of variables in word problems?

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Variables represent unknown quantities that we need to find, allowing us to formulate equations based on the information given.