All Common Core: 7th Grade Math Resources
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.
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.
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.
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.)
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?
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.
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.
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.
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.
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.
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: