HA: 9.word problems

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or story, requiring the reader to extract relevant information and formulate a mathematical equation to find a solution.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) until the variable is alone.

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What does it mean if an equation has no solution?

Back

An equation has no solution when the two sides of the equation are never equal, indicating that there is no value for the variable that satisfies the equation.

Front

What is the formula for the perimeter of a rectangle?

Back

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

Front

If the length of a rectangle is 3 inches more than its width, how can you express this relationship algebraically?

Back

If the width is represented as 'w', then the length can be expressed as 'w + 3'.

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How do you set up an equation for a word problem involving money borrowed?

Back

Identify the total amount borrowed, any payments made, and the time frame for repayment. Set up an equation that represents the total amount owed after payments.

Front

What is the first step in solving the equation 6 - (4x + 5) - 11 = 14 - 4x?

Back

The first step is to simplify both sides of the equation by combining like terms.

Front

What does it mean for a rectangle's dimensions to be expressed as '9 in by 12 in'?

Back

It means the width of the rectangle is 9 inches and the length is 12 inches.

Front

How can you check if your solution to a word problem is correct?

Back

Substitute your solution back into the original problem to see if it satisfies all conditions given in the problem.

Front

What is the significance of the term 'infinitely many solutions' in a system of equations?

Back

It means that there are countless values for the variables that satisfy both equations, indicating that the equations represent the same line.