Writing and Solving Equations from Word Problems

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 word problem?

Back

Writing an equation from a word problem involves translating the words and relationships described in the problem into a mathematical equation.

Front

What is the initial value in a word problem?

Back

The initial value is the starting amount before any additional costs or changes are applied, often represented as a constant in an equation.

Front

How do you identify variables in a word problem?

Back

Variables are typically quantities that can change or vary, often represented by letters like x or m in equations.

Front

What does 'm' represent in the equation 50 + 20m = 290?

Back

In this equation, 'm' represents the number of months Jim has paid for his gym membership.

Front

How do you solve the equation 50 + 20m = 290 for m?

Back

To solve for m, subtract 50 from both sides to get 20m = 240, then divide both sides by 20 to find m = 12.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, such as the $50 gym membership fee in the equation.

Front

What does the term 'total cost' refer to in a word problem?

Back

Total cost refers to the overall amount spent, including all fees and additional charges.

Front

How do you set up an equation for a scenario involving a tip?

Back

To set up an equation for a tip scenario, add the tip amount to the base cost, such as 11x + 6 = total cost.

Front

What is the significance of the coefficient in an equation?

Back

The coefficient represents the rate of change or the amount per unit, such as $11 per hour in a lesson.