Write Inequalities and Equations

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

8.8.A

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

8.8.A

Select the situation that could be modeled by: 8 + 4x = 12 + 3x.

• Winnie bought a family meal with 8 burgers and 4 fries. Wilson bought a family meal with 12 burgers and 3 fries. If they each paid the same amount, how much did they spend?
• Team A runs 8 drills that a 4 minutes each. Team B runs 12 drills that are 3 minutes each. Which team practices longer?
• The basketball team currently has 8 players and is growing by 4 players each month. The volleyball team has 12 players and is growing by 3 players each month. After how many months will they have the same number of players?

Tags

8.8.A

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 per 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 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

8.8.A

Cell plan A is $40 plus $.04 each text
Cell plan B is $30 plus $.09 each text
Write an inequality that shows when plan A is greater that plan B

• 40 + .04x > 30 + .09x
• 40 + .04x < 30 + .09x
• 40 + .04 > 30 + .09
• 40 + .04 < 30 + .09

Tags

CCSS.7.EE.B.4B

• 12 + 3y < 16 + 2.5 y

• 12 + 3y > 16 + 2.5 y

• 12 + 3y = 16 + 2.5 y

• 12 + 3y < nothing!

Carolyn bought a dress that cost $45 and several pairs of pants, p, that were $9.99 each.  Michelle bought a jacket for $30 and pants that cost $11.50 each.  How many pairs of pants would the girls have to buy for Michelle’s total to exceed Carolyn’s total?

• 45 + 30 > 9.99p + 11.50p 
• 45p + 9.99 > 30p + 11.50
• 45 + 9.99p < 30 + 11.50p
• 45 + 9.99p > 30 + 11.50p

Tags

CCSS.7.EE.B.4B

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

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

Write the equation for the model.

• 2x - 4 = x - 7

• 2x + 4 = x + 7

• x - 4 = 2x - 7

Tags

CCSS.HSA.CED.A.3