Multi-step Equations Word Problems

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What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

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How do you solve a multi-step equation?

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To solve a multi-step equation, follow these steps: 1) Simplify both sides of the equation if necessary. 2) Use inverse operations to isolate the variable. 3) Check your solution by substituting it back into the original equation.

Front

What is the first step in solving a word problem involving multi-step equations?

Back

The first step is to read the problem carefully and identify the variables, constants, and what is being asked.

Front

How do you translate a word problem into an equation?

Back

Identify keywords and phrases that indicate mathematical operations (e.g., 'total' for addition, 'less than' for subtraction) and express the relationships between quantities using variables.

Front

What does the term 'perimeter' mean in geometry?

Back

Perimeter is the total distance around a two-dimensional shape, calculated by adding the lengths of all its sides.

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If a rectangle's length is 5 less than twice its width, how can you express this relationship mathematically?

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Let the width be 'w'. Then the length can be expressed as '2w - 5'.

Front

What is the formula for the perimeter of a rectangle?

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The formula for the perimeter (P) of a rectangle is P = 2(length + width).

Front

How do you find the cost of an item when given the total cost and the number of items?

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To find the cost of an item, divide the total cost by the number of items. For example, if the total cost is $14 for 6 candy bars, the cost per candy bar is $14 ÷ 6.

Front

What is a variable in mathematics?

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A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation or expression.

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How do you check if your solution to an equation is correct?

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To check your solution, substitute the value back into the original equation and verify if both sides are equal.