Equations and Inequalities Review

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

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

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?

Printing company A prints calendars for $3 each and a setup fee for $46. Printing company B prints calendars for $5 each and has a setup fee of $20. Which inequality would be used to determine when company A is less than company B?

• 3x+46 < 5x+20

• 3x+46 > 5x+20

• 49x < 25x

• 3x+20 < 5x+46

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

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 + 24x = 180 + 20x

• 150 - 24x = 180 - 20x

A student must be at least 15 years old to obtain a driver’s permit. Let a represent the student's age.

• a > 15

• a < 15

• a ≤ 15

• a ≥ 15

• a = 15

Tags

CCSS.6.EE.B.8

To order from the kid's menu a person must be no more than 12 years old. Let k represent the kid's age.

• k > 12

• k < 12

• k ≥ 12

• k ≤ 12

• k = 12

Tags

CCSS.6.EE.B.8

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