Equation Word Problems

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value in an equation.

Front

What does the equation y = mx + b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

How do you set up an equation from a word problem?

Back

Identify the variables, constants, and relationships described in the problem, then translate them into an equation.

Front

What is the purpose of solving an equation?

Back

To find the value of the variable that makes the equation true.

Front

In the equation y = 12x + 35, what does 12 represent?

Back

The rate at which pages are written per month.

Front

If Carly has written 35 pages and writes 12 pages per month, how many pages will she have written after x months?

Back

y = 12x + 35.

Front

What is the total cost equation for downloading songs from a music app?

Back

Total Cost = 2 + 1.29 * number of songs.

Front

If 1000 adults attended a fair and the total revenue was $5050, how do you find the number of children?

Back

Set up the equation: 4 * 1000 + 1.5 * number of children = 5050.

Front

What is the equation for the total revenue from washing cats and dogs?

Back

5 * number of cats + 7.5 * number of dogs = total revenue.

Front

How do you calculate the total cost for downloading 30 songs at $1.29 each plus a $2 fee?

Back

Total Cost = 2 + (1.29 * 30) = $40.70.