Word Problems

Front

What is a word problem?

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 an equation to find a solution.

Front

How do you translate a word problem into an equation?

Back

Identify the key information, define variables for unknowns, and use mathematical operations to express the relationships described in the problem.

Front

What does the variable 'x' typically represent in equations?

Back

The variable 'x' usually represents an unknown quantity that we are trying to solve for in an equation.

Front

What is the first step in solving a word problem?

Back

The first step is to read the problem carefully and identify what is being asked.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to 'solve for x'?

Back

To 'solve for x' means to find the value of the variable 'x' that makes the equation true.

Front

If you have the equation 3f = 63, how do you find 'f'?

Back

Divide both sides of the equation by 3: f = 63 / 3, so f = 21.

Front

What is the equation for finding the total cost if you buy multiple items?

Back

Total Cost = Price per Item × Number of Items.

Front

How do you set up an equation for a total amount spent?

Back

Total Amount Spent = Cost of Item 1 + Cost of Item 2 + ... + Cost of Item n.

Front

What is the relationship between addition and subtraction in equations?

Back

Addition and subtraction are inverse operations; what you add to one side of an equation, you must also add to the other side to maintain equality.