Real-World Applications of Inequalities (6.9C) and Equations

Which situation best represents the equation:
  𝑥 − 4 = 12?

• Juan bought 4 more video games and now has 12 total.

• After spending $4, Carla has $12 left.

• Carla spent $4 on lunch and has $12 remaining.

• Juan had $12 and then lost 4 video games.

Write a real-world situation for the inequality
  𝑥 ≥ 75

Tags

CCSS.6.EE.B.8

Talia earns $12 each hour she works. She worked some hours and earned a total of $84.

Click on the equation that represents this situation:

Tags

CCSS.HSA.CED.A.3

Please drag and drop to create a real-world problem that matches the given inequality, using the words from the word bank below.

Given Equation:
  x + 15 ≤ 60​

​​ ​ (a)   has already run​ (b)   ​ and wants to run ​ (c)   ​ (d)   this week.

• Jamal
• 15 miles
• no more than
• 60 miles
• 20 miles
• less than
• no less than

Tags

CCSS.7.EE.B.4B

Which situation best represents the inequality:
x ≥ 60

• A player must score no more than 60 points to qualify.

• The speed limit is exactly 60 miles per hour.

• A runner must complete at least 60 laps to earn a medal.

• The temperature should stay below 60 degrees.

Tags

CCSS.6.EE.B.8

Which situation best represents the inequality:
x ≤ 30

• A basketball player must score at least 30 points.
  

• A bag can hold up to 30 marbles.

• You must run more than 30 laps.
  

• A bike costs 30 dollars more than x

Tags

CCSS.6.EE.B.8

• The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.

• The cost of 5 notebooks is less than the cost of 3 notebooks with a $2-off coupon.

• The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.

• The cost of 5 notebooks is $2 greater than the price of 3 notebooks.

Tags

CCSS.7.EE.B.4B

Which situation cannot be represented by the equation
x − 25 = 75?

• A video game originally cost x dollars. After a $25 discount, the sale price is $75.

• A water tank held x gallons. After removing 25 gallons, 75 gallons remain.

• Jackson earned $75 more than a $25 bonus. What is x, the total money he earned?

• A store had x cans in stock. After selling 25, 75 remain.

Tags

CCSS.HSA.CED.A.3

Which situation is best represented by the inequality

x⁄5 ≤ 8

A. Mia poured x ounces of soup into 5 bowls, and each bowl had at least 8 ounces.
B. Mia poured x ounces of soup into 5 bowls, and each bowl had no more than 8 ounces.
C. Mia poured x ounces of soup into 5 bowls, and each bowl had more than 8 ounces.
D. Mia poured x ounces of soup into 5 bowls, and each bowl had less than 8 ounces.

Which did you consider to be the best answer to represent the inequality above? Explain in detail (using content vocabulary and the inequality in your response).

Tags

CCSS.6.EE.B.8

Which situation is best represented by the inequality

x + 4 < 20

• Sarah had 4 pencils and bought x more. She has fewer than 20 pencils now.

• Sarah had x pencils and gave away 4, ending with 20 pencils.

• Sarah had 20 pencils, then gave away 4, leaving x pencils.

• Sarah bought 4 pencils, then bought x more, and now has at least 20 pencils.

Tags

CCSS.7.EE.B.4B