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 a variable in an equation?

Back

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

Front

How do you identify the total cost in a word problem?

Back

The total cost is usually the sum of all expenses mentioned in the problem, often represented as a specific number.

Front

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

Back

The first step is to read the problem carefully and identify the key information, including what is being asked.

Front

How do you represent a cost per item in an equation?

Back

You represent a cost per item by multiplying the cost of one item by the number of items, often using a variable for the number of items.

Front

What does 'per' indicate in a word problem?

Back

'Per' indicates a rate or cost for each unit of something, such as 'per item' or 'per hour'.

Front

How do you set up an equation for a total cost problem?

Back

You set up an equation by adding the fixed costs to the variable costs, equating it to the total amount spent.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of it are equivalent in value.

Front

How can you check if your equation is correct?

Back

You can check if your equation is correct by substituting the variable with a value and verifying if both sides of the equation are equal.