Inequalities review 7th

Define: "Solution of an Inequality"

• For x+5>8, 7 is a solution because 7+5>8

• For x+5>8, 2 is not a solution because 2+5>8 is not true

• Infinitely many possible, can be graphed on a number line.

• A value that makes an inequality true when substituted for the variable.

Tags

CCSS.6.EE.B.5

An example of a "Solution of an Inequality"

• For x+5>8, 7 is a solution because 7+5>8

• For x+5>8, 2 is not a solution because 2+5>8 is not true

• 
• 

Tags

CCSS.6.EE.B.5

A non-example of a "Solution of and Inequality"

• For x+5>8, 7 is a solution because 7+5>8

• For x+5>8, 2 is not a solution because 2+5>8 is not true

• 
• 

Tags

CCSS.6.EE.B.5

Facts/characteristics of a "Solution of an Inequality"

• For x+5>8, 7 is a solution because 7+5>8

• For x+5>8, 2 is not a solution because 2+5>8 is not true

• 
• 

Tags

CCSS.6.EE.B.5

Water is pumped out of a 400-gallon tank at a rate of 2.5 gallons per second. The inequality 400−2.5x<100 can be used to determine the time x in seconds, after which there will be less than 100 gallons of water remaining in the tank.

Solve the inequality

* use x as your variable

*do not put any spaces in your inequality

Tags

CCSS.7.EE.B.4B

In that instance; x>120 means...

• After 10 seconds, there will be no less than 100 gallons remaining.

• After 120 seconds, there will be more than 100 gallons remaining.

• After 120 seconds, there will be less than 100 gallons remaining.

• After 120 seconds, there will be no more than 100 gallons remaining

Faith wants to run at least 11.5 miles this week. She has already run 2.5 miles. She plans to run an equal distance on each of the last 3 days of this week.

What inequality fits this problem?

• 2.5+3x>11.5

• 2.5+3x>11.5

Tags

CCSS.7.EE.B.4B

Tags

CCSS.7.EE.B.4B

An airplane can carry a maximum of 36,600 pounds of cargo, passengers, and luggage. On the plane’s next flight, it will carry 7,320 pounds of cargo. If each passenger with luggage weighs 220 pounds, what is the greatest number of passengers the plane can carry on its next flight?

• 33 passengers

• 166 passengers

• 199 passengers

• 133 passengers

At midnight, the outdoor temperature is 3 ºF. The temperature is expected to drop by 0.5 ºF per hour for the rest of the night.

Select all inequalities that can be used to determine the number of hours ℎ after midnight at which the temperature will be below 0 ºF.

• 0.5h>3

• 3−0.5h<0

• 3h−0.5<0

• 2−0.5h<0

• 0.5h<2

Tags

CCSS.6.EE.B.8