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
All Common Core: 7th Grade Math Resources
Example Questions
Example Question #31 : Linear Inequalities
Write the inequality:Â Four less than half a number is less than six.
Break up the sentence into parts.
Half a number:Â
Four less than half a number:Â
Is less than six:Â
Combine the terms to form the inequality.
The answer is:Â
Example Question #32 : Linear Inequalities
Write the inequality: Â Two less than twice a number is less than a half.
Break up the sentence into parts. Â Use a variable for the number.
Twice a number: Â
Two less than twice a number: Â 
Is less than a half: Â
Combine the terms.
The answer is: Â
Example Question #33 : Linear Inequalities
Write the inequality: Â A number squared less than seven is at least eight.
Break up the sentence into parts.
A number squared: Â
A number squared less than seven: Â
At least eight: Â
Combine the terms.
The answer is: Â
Example Question #99 : Expressions & Equations
Write the inequality: Â Five less than two times a number is no more than four.
Split the sentence into parts.
Two times a number: Â
Five less than two times a number: Â
Is no more than four: Â
Combine the parts. Â
The answer is: Â Â
Example Question #100 : Expressions & Equations
Write the inequality: Â Four less than three times a number is less than four.
Split the sentence into parts.
Three times a number: Â
Four less than three times a number: Â
Is less than four: Â
Combine the parts.
The answer is: Â
Example Question #101 : Expressions & Equations
Write the inequality: Â Three less than a number is less than five.
Separate the sentence into parts.
Three less than a number: Â
Is less than five:
Combine the terms.Â
The answer is: Â
Example Question #35 : Linear Inequalities
Write the inequality: Â 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. Â Let the number be any variable.
The quantity of four less than a number: Â
Four less than the quantity of four less than a number: Â
Is less than four: Â
Combine the parts.
The correct answer is: Â
Example Question #36 : Linear Inequalities
Write the inequality: Â Two more than twice a number cannot be more than six.
Split the problem statement into parts.
Twice a number: Â Â
Two more than twice a number: Â
Cannot be more than six means that the number can be six, but cannot exceed six.
Combine the parts.
The answer is: Â
Example Question #37 : Linear Inequalities
Write the following inequality: Â Eight more than the square of a number is less than four.
Split the sentence into parts.
The square of a number: Â
Eight more than the square of a number:Â
Is less than four: Â
Combine the terms.
The answer is: Â
Example Question #38 : Linear Inequalities
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:Â
At least four: Â
Less than nine: Â
The inequalities may be combined into one whole.
The answer is: Â
All Common Core: 7th Grade Math Resources
