Writing and Solving Equations with Variables on Both Sides #1

WRITE AND SOLVE AN EQUATION TO REPRESENT THE SITUATION

Two more than 16 times a number is the same as 21 less than the product of -7 and the number.

• x = -2

• x = -1

• x = 1

• x = -2

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

WRITE AND SOLVE AN EQUATION TO REPRESENT THE SITUATION

Decreasing -5 times a number by 18 is equal to decreasing 9 times the number by 25.

• x = -0.5

• x = -0.25

• x = 0.25

• x = 0.5

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

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

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

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

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

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

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

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

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

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

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

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

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

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

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

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

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.4

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7