Writing Equations - Inequalities w/ variables on both sides

At the beginning of the year, Ethan has $800 in his savings account and Faith has $1,280 in her savings account.  Each month, Ethan deposits and additional $25 in his account, while Faith withdraws $15 from her account.  Write an equation to show after how many months will Ethan’s account have a greater balance than Faith’s account?

• 800 - 25x  < 1280 - 15x

• 800 + 25x < 1280 - 15x

• 800 + 25x  > 1280 - 15x

• 800 + 25x >  1280 + 15x

Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.

• 25 - 2.5d > 50 - 3.25d

• 25 - 2.5d < 50 - 3.25d

• 25 + 2.5d > 50 + 3.25d

• 25 + 2.5d < 50 + 3.25d

The table shows the cost per month of two cell phone plans. Which inequality can help determine how many phone calls you need to make per month so that Plan 2 is a better option?

• 25 - 0.35n > 37 - 0.25n

• 0.35n + 25 > 0.25n + 37

• 25 - 0.35n < 37 - 0.25n

• 0.35n + 25 < 0.25n + 37

Veronica is ordering trophies for her school. Company P charges $3.50 for each trophy and a one-time engraving fee of $25. Company R charges $7.50 for each trophy and a one-time engraving fee of $17. Which inequality can be used to find x, the minimum number of trophies that can be ordered so that the total charge at company P is less than the total charge at Company R?

• 3.5 + 25x < 7.5 + 17x

• 3.5 + 25x > 7.5 + 17x

• 3.5x + 25 < 7.5x + 17

• 3.5x + 25 > 7.5x + 17

Which inequality represents the following problem:
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. Find the number of square yards of carpet for The Rug Store charges 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

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?

• A shirt is on sale for $25, but Garrett has a coupon for some money off.  His sister Grace buys 15 of the same shirt so he will never lose it.  How much does the shirt cost?

• Every time Ashley goes to Starbucks, it takes $4 off her $25 gift card.  Amanda uploads $15 more to her gift card.  How much does Amanda add to have more than Ashley?

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

Nicki Minaj's bank account has a

negative balance of $95 so she

deposits $5 per day. Kelly Clarkson's

bank account has a negative balance

of $40 so she deposits $4 per day.

At how many days will Nicki's

bank account have greater than or equal to

as much money as Kelly's?

• 5x-95 $\le$ 4x+40

• 5x-95≥ 4x-40

• 5x+95≥ 4x-40

• 5x-95 $\le$ 4x-40

The temperature in Australia is 95

degrees and decreasing at a rate of

4 degrees per day. The temperature

in the US is 40 degrees and is

increasing at a rate of 5

degrees per day. For how

many days will Australia

be warmer or the same

as the US?

• 95-4x≥ 40+5x

• 95-4x $\le$ 40-5x

• 95+4x≥ 40+5x

• 95-4x $\le$ 40+5x

A fish tank holds 95 gallons of water

and is losing water at a rate of 4

gallons per day. A second fish tank

contains 40 gallons of water and is

having 5 gallons added per day.

After how many days will

the first fish tank have less

water than the second?

• 95-4x>40+5x

• 95+4x<40+5x

• 95-4x>40-5x

• 95-4x<40+5x