writing equation inequality

The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?

• 50 + 3.5x < 71
• 71 - 3.5x < 50
• 71 - 3.5x ≤ 50
• 71 + 3.5x < 50

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?

• 106 - 4x ≤ 70
• 70 + 4x ≤ 106
• 4x - 106 ≥ 70
• 106 - 4x< 70

Tags

CCSS.7.EE.B.4B

The members of Indian Spring Middle School's cheerleaders need to raise at least $2000 to attend their national competition. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?

• 300x + 10 ≥ 2000

• 10x + 300 ≤ 2000

• 10x + 300 > 2000

• 300 + 10x ≥ 2000

Tags

CCSS.7.EE.B.4B

Juan bought a soda for $2. He also bought some nachos for $3 each. Juan did not spend more than $14 on the nachos and the soda. Write an inequality can be used to find n, the number of nachos that Juan could have bought.

• 14 ≥ 2n+3

• 2+3n ≤ 14

• 14-3n ≤ 2

• 14x+2 ≤ 3

Tags

CCSS.7.EE.B.4B

Alexa has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Alexa can buy.

• 60≥22x-8

• 22-8x≥60

• 22x+8≤60

• 22+8x≤60

Tags

CCSS.7.EE.B.4B

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Tags

CCSS.7.EE.B.4B

Which situation can be represented by the equation
40x + 20 = 200?

• Mitch owed Jason $200. Mitch borrowed $20 more. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?
• Mitch owed Jason $200. Mitch already paid Jason back $20. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?
• Mitch owed Jason $200. Mitch borrowed $40 more. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?
• Mitch owed Jason $200. Mitch already paid back $40. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?  

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

A donut shop charges $0.70 for each donut and $0.30 for a carryout box.  Shirley has $5.00 to spend.  She needs to determine the most donuts (x) she can buy when she only puts them in one carryout box.  Which equation can be used to answer this problem?

• 70x + 30 < 500
• 30x + 70 < 500
• 70x + 30 ≤500
• 30x + 70 ≤ 500

Tags

CCSS.7.EE.B.4B

A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?

• c = 3.00 - 0.15m
• c = 0.15 + 3.00m
• 3.00 = c + 0.15
• c = 3.00 + 0.15m

Tags

CCSS.6.EE.C.9

Which equation represents the total cost of a repair by an electrician after x hours?
An electrician charges $90 per hour plus a $50 travelling fee.

• y = 50 - 90x
• y = 90x + 50
• y = -50x + 90
• y = -90 - 50x

Tags

CCSS.6.EE.C.9