Algebra 1 : Writing inequalities

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #31 : Writing Inequalities

Write the inequality:  Four less than half a number is less than six.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Half a number: 

Four less than half a number: 

Is less than six: 

Combine the terms to form the inequality.

The answer is: 

Example Question #32 : Writing Inequalities

Write the inequality:  Two less than twice a number is less than a half.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.  Use a variable for the number.

Twice a number:  

Two less than twice a number:   

Is less than a half:  

Combine the terms.

The answer is:  

Example Question #33 : Writing Inequalities

Write the inequality:  A number squared less than seven is at least eight.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

A number squared:  

A number squared less than seven:  

At least eight:  

Combine the terms.

The answer is:  

Example Question #34 : Writing Inequalities

Write the inequality:   Five less than two times a number is no more than four.

Possible Answers:

Correct answer:

Explanation:

Split the sentence into parts.

Two times a number:  

Five less than two times a number:  

Is no more than four:  

Combine the parts.  

The answer is:   

Example Question #35 : Writing Inequalities

Write the inequality:  Four less than three times a number is less than four.

Possible Answers:

Correct answer:

Explanation:

Split the sentence into parts.

Three times a number:  

Four less than three times a number:  

Is less than four:  

Combine the parts.

The answer is:  

Example Question #36 : Writing Inequalities

Write the inequality:  Three less than a number is less than five.

Possible Answers:

Correct answer:

Explanation:

Separate the sentence into parts.

Three less than a number:  

Is less than five:

Combine the terms. 

The answer is:  

Example Question #611 : Grade 7

Write the inequality:  Four less than the quantity of four less than a number is less than four.

Possible Answers:

Correct answer:

Explanation:

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 #38 : Writing Inequalities

Write the inequality:  Two more than twice a number cannot be more than six.

Possible Answers:

Correct answer:

Explanation:

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 #39 : Writing Inequalities

Write the following inequality:  Eight more than the square of a number is less than four.

Possible Answers:

Correct answer:

Explanation:

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 #40 : Writing Inequalities

Write the inequality:  The quantity of six more than a number must be at least four and less than nine.

Possible Answers:

Correct answer:

Explanation:

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:  

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