Writing Equations from Real-World Scenarios

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to write an equation from a real-world scenario?

Back

It means to translate a word problem or real-life situation into a mathematical equation that can be solved.

Front

In the equation 75x + 490 = 1090, what does 'x' represent?

Back

In this equation, 'x' represents the number of weeks Abigail will need to save money.

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 an equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

What does the term 'constant' refer to in an equation?

Back

A constant is a fixed value that does not change, such as numbers like 490 or 14 in the equations.

Front

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

Back

You can substitute your solution back into the original equation to see if both sides are equal.

Front

What is the purpose of using equations in real-life scenarios?

Back

Equations help us model and solve problems involving relationships between quantities.

Front

In the equation 875 = 25x + 35, what does 'x' represent?

Back

In this equation, 'x' represents the number of hours Mr. Harold worked.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.