Writing Equations and Inequalities

Front

Write an equation to represent the situation: Celebrity A has 400 followers on social media and is gaining 75 followers each day. Celebrity B has 1,000 followers on social media, but is losing 25 followers a day.

Back

400 + 75x = 1,000 – 25x

Front

Celebrity A has 400 followers and gains 75 followers/day. Celebrity B has 1,000 followers and loses 25 followers/day. How many days until they have the same number of followers?

Back

6 days

Front

Write an equation to represent the situation: Peter and his friends are going to play putt-putt. At one location, they can pay $2.00 for rentals plus $7.50 per game. At another location, it would cost $8.00 for rentals plus $6.00 per game.

Back

2 + 7.50x = 8 + 6x

Front

The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. Write an inequality that could be used to determine the number of square yards of carpet that need to be installed for The Rug Store to charge more than The Magic Carpet.

Back

80+9.50x > 120+7.50x

Front

Situation modeled by: 12 + 5x = 18 + 3x

Back

Derek charges a base fee of $12 to walk a dog plus $5 per hour. Darla charges a base fee of $18 plus $3 an hour to walk a dog. After how many hours would they make the same amount of money?

Front

Choose the situation that could represent the inequality: 25 – x < 15 + x. Options: Kasey has a gift card for $25. She buys a $15 CD and as many decals as she can buy with the rest of the gift card. How many decals can she buy?, The school band has 25 people, and the theater class has 15 people. How many people must move from the band class to the theater class for the theater class to be as big or larger than the school band?

Back

The school band has 25 people, and the theater class has 15 people. How many people must move from the band class to the theater class for the theater class to be as big or larger than the school band?

Front

Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality to determine after how many months Tyler’s gym would be a better deal.

Back

30 + 20x < 15 + 30x

Front

"Increased by" is a key phrase for...

Back

Addition

Front

Equation to determine equal cost for two rental car agencies: Agency 1 charges $30/day + $0.15/mile, Agency 2 charges $36/day + $0.10/mile.

Back

30 + 0.15x = 36 + 0.10x

Front

Equation to determine equal rental cost for video clubs A and B: 25 + x = 15 + 2x

Back

25 + x = 15 + 2x