Application of Inequalities & Equations

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

Tags

CCSS.7.EE.B.4B

• 30x < 330 + 50x

• 50x > 330 + 30x

• 30x > 330 + 50x

• 50x < 330 + 30x

Tags

CCSS.7.EE.B.4B

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 + 2.5x = 10 + 3x

• 15 - 2.5x = 10

• 15 - 10 = 2.5x + 3x

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

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

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.A.2

Match the following words to its corresponding inequality symbol.

• or more

• above

• at most

• below

Tags

CCSS.6.EE.B.8

Match the following words to its corresponding inequality symbol.

• less than

• maximum

• more than

• at least

Tags

CCSS.6.EE.B.8

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

The Harris County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equation could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 + 2.5x = 10 + 3x

• 15-2.5x = 10

• 15 - 10 = 2.5x +3x

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.5

CCSS.6.RP.A.3

Select the situation that could be modeled by: 120 + 25x = 45x.

• John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?

• George charges a flat fee of $120 to mow a lawn plus $25 per hour. Greg charges $45 an hour to mow a lawn. After how many hours do they make the same amount?

• Lisa pays $120 for each purse she buys plus an additional $25 each to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.5

CCSS.6.EE.A.2

Joe's Canoes charges an initial fee of $20 plus $4 an hour. Callie's Canoes charges a flat rate of $14 an hour. Choose the equation that would find the number of hours that the total for both places would charge the same.

• 4x + 20 = 14x

• 24x = 14x

• 4x - 20 = 14x

• 20 + 4x = 14

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.5

CCSS.6.RP.A.3