Write Equations from Word Problems

Front

What is the equation to represent the total cost, t, for n months of gym membership at Dexter's Gym, which charges $20 each month plus a one-time membership fee of $25?

Back

t = 20n + 25

Front

If you have $16 and each bottle of olive oil costs $7, what is the equation to represent the total amount of money, m, remaining after purchasing b bottles of olive oil?

Back

m = 16 - 7b

Front

What is the equation to calculate the total weight, t, of a delivery person weighing 160 lbs and b boxes of books each weighing 50 lbs?

Back

t = 50b + 160

Front

Define a variable in the context of a word problem. What does it represent?

Back

A variable is a symbol (often a letter) used to represent an unknown quantity in a mathematical expression or equation.

Front

What does it mean to write an equation from a word problem?

Back

It means to translate the information given in the problem into a mathematical equation that can be solved.

Front

In the equation t = 20n + 25, what does each term represent?

Back

t represents the total cost, n represents the number of months, 20 is the monthly charge, and 25 is the one-time fee.

Front

How do you identify the variables in a word problem?

Back

Look for quantities that can change or are unknown, often indicated by words like 'how many' or 'what is'.

Front

What is the first step in solving a word problem that requires writing an equation?

Back

Read the problem carefully to understand what is being asked and identify the relevant information.

Front

What is the importance of defining your variables when writing equations from word problems?

Back

Defining variables helps clarify what each symbol represents, making it easier to set up and solve the equation.

Front

In the equation m = 16 - 7b, what does the 'b' represent?

Back

The variable 'b' represents the number of bottles of olive oil purchased.