Writing & Solving Equations with Variables on Both Sides

Front

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. Write an equation to represent the situation.

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

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. How many games would they have to play in order for either location to cost the same amount?

Back

4 games

Front

Shelby has $155 in savings, and her boyfriend George has $230. Shelby is saving $10 each week, and George is spending $15 each week. Write an equation to represent the situation.

Back

155 + 10x = 230 – 15x

Front

Shelby has $155 in savings, and her boyfriend George has $230. Shelby is saving $10 each week, and George is spending $15 each week. After how many weeks will their savings accounts have the same amount of money in them?

Back

3 weeks

Front

Kimberly takes the bus to work. The bus ride to work costs her $2.50 each time. She could buy a bus pass for a one-time fee of $15.00 and would then only pay $1.00 each time to ride the bus. Write an equation to represent the situation.

Back

2.50x = 15 + x

Front

Kimberly takes the bus to work. The bus ride to work costs her $2.50 each time. She could buy a bus pass for a one-time fee of $15.00 and would then only pay $1.00 each time to ride the bus. How many times would she have to take the bus in order for the cost to be the same?

Back

10 times

Front

7x = 4x + 33

Back

11

Front

Solve the equation: -7x - 36 = 20 - 3x

Back

-14