Solving linear equation word problems

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What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does it mean to solve a linear equation word problem?

Back

Solving a linear equation word problem involves translating a real-world scenario into a mathematical equation and then finding the value of the variable.

Front

How do you identify the variable in a word problem?

Back

The variable is usually the unknown quantity that you need to find, often represented by a letter like x.

Front

What is the first step in solving a linear equation word problem?

Back

The first step is to read the problem carefully and identify the key information and relationships.

Front

What does 'twice a number' mean in mathematical terms?

Back

'Twice a number' means 2 times that number, often represented as 2x.

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How do you express 'five less than twice a number' mathematically?

Back

It can be expressed as 2x - 5.

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What is the formula for the perimeter of a rectangle?

Back

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

Front

How do you express 'one more than two and a half times its width' mathematically?

Back

It can be expressed as 2.5w + 1, where w is the width.

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What is the relationship between the ages of Jordan and Mr. Langdon in the problem?

Back

Mr. Langdon is 5 times Jordan's age minus 8 years.

Front

How do you express the sum of four consecutive odd integers?

Back

If x is the first odd integer, the sum can be expressed as x + (x + 2) + (x + 4) + (x + 6).