Solving and Writing Equations with Variables on Both Sides

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.

• 400 - 75x = 1,000 + 25x

• 400 + 75x = 1,000 – 25x

• 400x - 75 = 1,000x + 25

• 400x + 75 = 1,000x – 25

SOLVE THE EQUATION

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. How many days will it take them to have the same number of followers?

• 4 days

• 5 days

• 6 days

• 7 days

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.

• 2 + 7.50x = 8 + 6x

• 2 - 7.50x = 8 - 6x

• 2x + 7.50 = 8x + 6

• 2x - 7.50x = 8 x- 6

SOLVE THE EQUATION

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?

• 2 games

• 3 games

• 4 games

• 5 games

WRITE AN EQUATION TO REPRESENT THE SITUATION

Shelby has $155 in savings, and her boyfriend George has $230. Shelby is saving $10 each week, and George is spending $15 each week.

• 155x - 10 = 230x + 15

• 155x + 10 = 230x – 15

• 155 - 10x = 230 + 15x

• 155 + 10x = 230 – 15x

SOLVE THE EQUATION

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?

• 8 weeks

• 7 weeks

• 4 weeks

• 3 weeks

WRITE AN EQUATION TO REPRESENT THE SITUATION

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.

• 2.50 + x = 15x

• 2.50x = 15x + 1

• 2.50x = 15 + x

• 2.50x = 15x

SOLVE THE EQUATION

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?

• 5 times

• 10 times

• 12 times

• 15 times

7x = 4x + 33

• 3
• 11
• 21
• 88

-7x - 36 = 20 -3x

• -12
• -14
• 15
• 8