Multi-Step Word Problems

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What is a multi-step word problem?

Back

A multi-step word problem is a mathematical problem that requires more than one step to solve, often involving multiple operations and concepts.

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How do you translate a word problem into an equation?

Back

Identify the key information and relationships in the problem, then use variables to represent unknowns and write an equation based on the relationships.

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What does '12 more than a number' mean in mathematical terms?

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It means to take a variable (e.g., x) and add 12 to it, represented as x + 12.

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What does '4 times a number decreased by 36' mean in mathematical terms?

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It means to take a variable (e.g., x), multiply it by 4, and then subtract 36, represented as 4x - 36.

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How do you solve for a variable in an equation?

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Isolate the variable on one side of the equation using inverse operations, such as addition, subtraction, multiplication, or division.

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What is the first step to solve the equation x - 5 = 7 - 2x?

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Add 2x to both sides of the equation to begin isolating x.

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How do you find the total cost in a word problem involving fixed and variable costs?

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Add the fixed cost to the product of the variable cost per unit and the number of units.

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What is the equation for a linear relationship?

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A linear relationship can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

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How do you determine when two linear equations are equal?

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Set the two equations equal to each other and solve for the variable to find the point of intersection.

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What does 'membership increases by a constant amount' imply in a word problem?

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It implies a linear growth pattern, where the total can be expressed as an equation with a constant rate of change.