Equation
Inequalities
Word Problems
Create the Equation
100

x + 50 = 100

x= 50

100

x - 20 > 40

x > 60

100

"It'll take at least 30 minutes to get downtown"

Write an inequality where x is the number of minutes it takes to get downtown. 

x >= 30

100

"A farmer has a pig pen that is 20 ft in length and has a total area of 125 ft"

What is an equation that can help you determine the width of the pig pen?

Hint: The area of a rectangle is length times width

20 ft * x = 125 ft

200

5x = 15

x = 3

200

-5x > 100

x < -20

200

"I wouldn't pay for than $6 for a sandwich!"

Write an inequality to where x is the number of dollars willing to be spent.

x < 6

200

"You're a door to door salesman who needs to make $400 this week. You sell products for $25 each" 

What is an equation that can help you determine how many sales you need to make to meet your quota?

$400 = $25x

300

3x + 2 = 14

x = 4

300

2x - 10 < 16

x < 13

300

"Zoey has $5 and wants to rent a scooter. The scooter costs $1 to unlock and costs $0.25 for each minute is it used.

Write an inequality to represent the number of minutes that Zoey can rent the scooter for using x as the number of minutes.

x <= 16

300

"You're on a road trip that is 80 miles long. So far you have driven 15 miles and are driving at a speed of 55 miles per hour."

Write an equation to determine how many hours left you have in your trip.

80 = 55x + 15

or 

65 = 55x

400

6(x - 3) = 6

x = 4

400

-2(x + 3) < -18

x > 6

400

"Racheal is a stunt driver who has to drive a motorcycle across a 50 ft lake. She has to drive at a speed of at least 80 miles per hour to make the jump. She can accelerate at a speed of 5 miles per second and is currently driving at 45 miles per hour. 

How many seconds does Racheal need to reach her needed speed?

80 >= 5x + 45

x >= 7

400

"Daniel had $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each."

Write an equation to help you determine the maximum number of rides that Daniel can ride

25 >= 1.50x + 4