Writing Equations & Ineq. with Variables on Both Sides

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

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 cost less

• 30 + 20x < 15 + 30x

• 30x + 20 < 15x + 30

• 30 + 20x > 15 + 30x

• 30x + 20 > 15x + 30

Tags

CCSS.7.EE.B.4B

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

Renting games online from Netwii costs $3.33 per game  with no monthly fee.  Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.
Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?

• 3.33v > 2v + 10
• 3.33v + 10 > 2v 
• 3.33v < 2v + 10
• 3.33v + 10 < 2v

Tags

CCSS.7.EE.B.4B

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile.  Katie has no more than $10 to spend on the taxi ride.

• 1.75 + 0.65m < 10
• 1.75 + 0.65m > 10
• 1.75m + 0.65 < 10
• 1.75m + 0.65 > 10

Tags

CCSS.7.EE.B.4B

An animal shelter conducts an annual fundraising drive. The animal shelter must raise at least enough money to cover their annual rental of $2,500 and weekly expenses of $450. So far, the shelter has received a one-time donation of $125 and pledged donations of $680 per week. Which inequality can be used to find w, the number of weeks it can take the shelter to meet the goal?

• 125w + 680 ≤ 2,500w + 450

• 125w + 680 ≥ 2,500w + 450

• 680w + 125 ≤ 450w + 2,500

• 680w + 125 ≥ 450w + 2,500

Tags

CCSS.7.EE.B.4B

Roger and Novak have a hot dog eating contest. After the first 2 minutes, Roger has consumed 8 hot dogs and Novak has consumed only 7 hot dogs. From that point. Roger eats 3 hot dogs each minute while Novak eats 4 hot dogs per minute. After how many minutes, m, will Novak have eaten more hot dogs than Roger?

• 8 + 3m > 7 + 4m

• 8 + 3m < 7 + 4m

• 3 + 8m > 4 + 7m

• 3 + 8m < 4 + 7m

Tags

CCSS.7.EE.B.4B

Camie and Jorge each begin saving money for a new computer. Camie saves $5 per week plus $50 she receives for her birthday. Jorge saves $7 per week. Which of the following can be used to find w, the number of weeks until Jorge has saved at least the same amount as Camie?

• 7w = 5w + 50

• 50 + 5w < 7w

• 5w + 50 ≥ 7w

• 7w ≥ 5w + 50

Tags

CCSS.7.EE.B.4B

Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat at 25 mph and is decreasing his speed by 0.7 mph each second. Which of the following equations could be used to determine x, the number of seconds it will take for the boats to be traveling the same speed?

• 12x + 0.2 = 25x - 0.7

• 12 - 0.2x = 25 + 0.7x

• 12.2x = -25.7x

• 12 + 0.2x = 25 - 0.7x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

Clean fast charges $2 per window plus a $15 fee. See Out charges $3 per window plus a $5 fee. When will their costs be the same?

• 2+15x=3+5x
• 2x+15=3x+5
• 2x-15=3x-15
• 2-15x=3-5x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3