Writing Equations and Inequalities

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.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

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.8.EE.C.8C

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.B.6

CCSS.6.EE.B.7

CCSS.6.EE.A.2

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.

• 80+9.50x > 120+7.50x
• 80+9.50x < 120+7.50x
• 80x+9.50 > 120x+7.50
• 80x+9.50 < 120x+7.50

Tags

CCSS.7.EE.B.4B

Select the situation that could be modeled by: 12 + 5x = 18+3x

• 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?
• Andy buys 12 sodas for $5 each. Alex buys 18 sodas for $3 each. If they each spent the same amount, how much did they spend?
• Brian charges $12 for a hat and $5 per shirt. Blake buys 3 hats and 18 shirts. How many hats and shirts must they sell to make the same amount of money?

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.5

CCSS.6.EE.C.9

Choose the situation that could represent the inequality:
25 – x < 15 + x

• 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?

Tags

CCSS.7.EE.B.4B

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 that could be used to determine after how many months Tyler’s gym would be a better deal.

• 30 + 20x < 15 + 30x
• 30x + 20 < 15x + 30
• 30 + 20x > 15 + 30x
• 30x + 20 > 15x + 30

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CCSS.6.EE.B.6

CCSS.6.EE.B.5

CCSS.6.EE.B.8

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

• Addition

• Subtraction

• Multiplication

• Division

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CCSS.6.EE.A.2A

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. Which equation could be used to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent? 

• 30 + 0.15x = 36 + 0.10x
• 30 - 0.15x = 36 - 0.10x
• 30 + 36 = 0.10x + 0.36x
• 36 - 30 = 0.36x + 0.10x

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.5

CCSS.6.EE.C.9

CCSS.6.EE.A.4

I can join video club A for $25.00 and rent videos for $1.00 each. Or, I can join video club B for $15.00 and rent videos for $2.00 each. Write an equation that could be used to determine how many rentals would be needed for the price to be equal.

• 25 - x = 15 - 2x
• 25 + 15 = x + 2x
• 25x + 1 = 15x + 2
• 25 + x = 15 + 2x

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.A.2