Common Core: 7th Grade Math : Solve Word Problems Leading to Inequalities: CCSS.Math.Content.7.EE.B.4b

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

Example Question #31 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Write the inequality:  Five less than a number is less than six.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Five less than a number: 

Is less than six:  

Combine the parts to make an inequality.

The answer is:  

Example Question #31 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Write the inequality:  The square root of twice a number is more than five.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Twice a number:  

The square root of twice a number:  

Is more than five:   

Combine the parts to form the inequality.

The answer is:  

Example Question #31 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Write the inequality:  The difference of a number and six is more than forty.

Possible Answers:

Correct answer:

Explanation:

Split up the sentence into parts.

Difference of a number and six:  

Is more than forty:  

Combine all parts to form the inequality.

The answer is:  

Example Question #31 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

At a fair, there is a game where players step on a scale and weigh themselves. The objective of the game is for the host to guess the player's weight. A player loses if the host of the game can guess the player's weight within  pounds, inclusive. Suppose a player weighs  pounds. Write an inequality that represents the range of numbers such that the player loses. (Let  represent the guess weight.)

Possible Answers:

Correct answer:

Explanation:

For the player to lose, the host has to guess within  pounds of the player's weight, inclusive. Thus, the host can guess any number between  pounds  and  pounds ; that is, if  is the weight the host guesses, then , which translates to 

Example Question #34 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

A parking garage charges a minimum fee of  to park in the garage. It also charges an additional fee of  for every hour, or portion of an hour, in which a person parks in the garage. Cliff wants to pay a maximum of  to park there. If he pulls into the garage at exactly , when must he leave at latest?

Possible Answers:

Correct answer:

Explanation:

Let be the number of hours that Cliff parks his car in the garage. Since he pays a flat fee of  plus  per hour or portion thereof, he pays dollars. Since he does not want to spend more than ,

Since a portion of an hour counts as much as an hour, must be a whole number.

implies that

.

Cliff can park in the garage for a maximum of 6 hours, and since he entered the garage at , he must exit  hours later:

,

or .

Example Question #111 : Expressions & Equations

Billy makes  a week in allowance plus  for each lawn that he mows. This week Billy wants to make over . Select the inequality for the number of lawns he needs to mow.

 

Possible Answers:

Correct answer:

Explanation:

We know that Billy needs to make more than  between his allowance and the lawns that he mows. This means our inequality should include 

Also, since Billy will make  per lawn, that means we need to multiply  by the number of lawns he needs to mow, :

So far we have the following:

Next, we know that he makes  each week, on top of what he makes mowing each law.

This means we need to add the  to the 

When we put all of these pieces together, we will get the following inequality:

Example Question #112 : Expressions & Equations

Billy makes  a week in allowance plus  for each lawn that he mows. This week Billy wants to make over . Select the inequality for the number of lawns he needs to mow.

 

 

Possible Answers:

Correct answer:

Explanation:

We know that Billy needs to make more than  between his allowance and the lawns that he mows. This means our inequality should include 

Also, since Billy will make  per lawn, that means we need to multiply  by the number of lawns he needs to mow, :

So far we have the following:

Next, we know that he makes  each week, on top of what he makes mowing each law.

This means we need to add the  to the 

When we put all of these pieces together, we will get the following inequality:

Example Question #113 : Expressions & Equations

Billy makes  a week in allowance plus  for each lawn that he mows. This week Billy wants to make over . Select the inequality for the number of lawns he needs to mow.

 

Possible Answers:

Correct answer:

Explanation:

We know that Billy needs to make more than  between his allowance and the lawns that he mows. This means our inequality should include 

Also, since Billy will make  per lawn, that means we need to multiply  by the number of lawns he needs to mow, :

So far we have the following:

Next, we know that he makes  each week, on top of what he makes mowing each law.

This means we need to add the  to the 

When we put all of these pieces together, we will get the following inequality:

Example Question #114 : Expressions & Equations

Billy makes  a week in allowance plus  for each lawn that he mows. This week Billy wants to make over . Select the inequality for the number of lawns he needs to mow.

 

Possible Answers:

Correct answer:

Explanation:

We know that Billy needs to make more than  between his allowance and the lawns that he mows. This means our inequality should include 

Also, since Billy will make  per lawn, that means we need to multiply  by the number of lawns he needs to mow, :

So far we have the following:

Next, we know that he makes  each week, on top of what he makes mowing each law.

This means we need to add the  to the 

When we put all of these pieces together, we will get the following inequality:

Example Question #115 : Expressions & Equations

Billy makes  a week in allowance plus  for each lawn that he mows. This week Billy wants to make over . Select the inequality for the number of lawns he needs to mow.

 

Possible Answers:

Correct answer:

Explanation:

We know that Billy needs to make more than  between his allowance and the lawns that he mows. This means our inequality should include 

Also, since Billy will make  per lawn, that means we need to multiply  by the number of lawns he needs to mow, :

So far we have the following:

Next, we know that he makes  each week, on top of what he makes mowing each law.

This means we need to add the  to the 

When we put all of these pieces together, we will get the following inequality:

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