All Common Core: 7th Grade Math Resources
Example Questions
Example Question #101 : Expressions & Equations
Write the inequality: Three less than a number is less than five.
Separate the sentence into parts.
Three less than a number:
Is less than five:
Combine the terms.
The answer is:
Example Question #33 : Writing Inequalities
Write the inequality: Four less than the quantity of four less than a number is less than four.
We will start this by separating the sentence into parts. Let the number be any variable.
The quantity of four less than a number:
Four less than the quantity of four less than a number:
Is less than four:
Combine the parts.
The correct answer is:
Example Question #23 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b
Write the inequality: Two more than twice a number cannot be more than six.
Split the problem statement into parts.
Twice a number:
Two more than twice a number:
Cannot be more than six means that the number can be six, but cannot exceed six.
Combine the parts.
The answer is:
Example Question #28 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b
Write the following inequality: Eight more than the square of a number is less than four.
Split the sentence into parts.
The square of a number:
Eight more than the square of a number:
Is less than four:
Combine the terms.
The answer is:
Example Question #1365 : Algebra 1
Write the inequality: The quantity of six more than a number must be at least four and less than nine.
Break down the sentence into parts.
The quantity of six more than a number:
At least four:
Less than nine:
The inequalities may be combined into one whole.
The answer is:
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 #1 : Setting Up Inequalities
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 .