Writing Equations from Models & Word Problems

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

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

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

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

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

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

Write the equation for the model.

• 2x - 2 = -x - 8

• -x - 2x = 2x - 8x

• -x - 2 = 2x - 8

Tags

CCSS.HSA.CED.A.3

Write the equation for the model.

• -x + 2 = 2x - 1

• -x + 2x = 2x - x

• 2x + 2 = -x - 1

Tags

CCSS.HSA.CED.A.3

• -x - 4 = 2x + 2

• -x - 2 = 2x - 4

• -x + 2 = 2x - 4

Write the equation for the model.

• 3x - 7x = 2x + 5x

• 3x + 5 = 2x - 7

• 3x - 7 = 2x + 5

Tags

CCSS.HSA.CED.A.3