Writing equations from Word Problems

Front

What is the equation that represents the relationship between the number of shirts (s) and pants (p) Lisa purchased if she bought 3 more shirts than twice the number of pants?

Back

s = 3 + 2p

Front

If Mallory spent $12.57 on sodas and $10.95 for each pizza, how can we express the total cost of pizzas (x) and sodas in an equation if her total is $89.22?

Back

10.95x + 12.57 = 89.22

Front

How can we write an equation to find the cost of each pen if Amy had $26, spent some on pens, and had $14.30 left after buying 10 pens?

Back

14.30 + 10p = 26

Front

What equation represents the situation where Elena cuts a 30-foot ribbon, removes 7 feet, and divides the remaining piece into 9 equal lengths?

Back

7 + 9x = 30

Front

How can we express the total cost of a notebook and pens if Olivia bought a notebook for $12.50 and 9 pens for a total of $43.73?

Back

43.73 = 12.5 + 9x

Front

Define a variable in the context of a word problem. Why is it important?

Back

A variable represents an unknown quantity in a problem, allowing us to create equations to solve for that quantity.

Front

What is a word problem? Provide an example.

Back

A word problem is a mathematical problem expressed in words. Example: "If a car travels 60 miles per hour, how far will it travel in 2 hours?"

Front

Explain the process of translating a word problem into an equation.

Back

Identify the quantities involved, define variables, and express relationships using mathematical operations.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation to get the variable alone on one side, making it easier to solve.

Front

What is the importance of checking your solution after solving an equation?

Back

Checking ensures that the solution satisfies the original equation and confirms its accuracy.