Algebra 1 : Writing inequalities

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #51 : Linear Inequalities

Write the inequality: Six less than four times a number is more than eighteen.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Four times a number: 

Six less than four times a number: 

Is more than eighteen:

Combine the parts to form an inequality.

The answer is:

Example Question #52 : Linear Inequalities

Write the inequality:  The square of the quantity of twice a number less than four must be at least six.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Twice a number:  

Twice a number less than four:  

The quantity of twice a number less than four:  

The square of the quantity of twice a number less than four:  

Must be at least six:  

Combine the terms.

The answer is:  

Example Question #53 : Linear Inequalities

Write the inequality:  Two less than three times a number is less than five.

Possible Answers:

Correct answer:

Explanation:

Split the sentence into parts to write the expressions for each part.

Three times a number:  

Two less than three times a number: 

Is less than five:  

Combine the parts to form the inequality.

The answer is:  

Example Question #54 : Linear Inequalities

Write the inequality:  Twice a number less than five is at least negative two.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Twice a number:  

Twice a number less than five:  

Is at least negative two:  

Combine the parts to form an inequality.

The answer is:  

Example Question #55 : Linear Inequalities

Write the inequality:  Two less than four times a number is at most six.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Four times a number:  

Two less than four times a number:  

Is at most six:  

Combine the parts to form the inequality.

The answer is:  

Example Question #1381 : Algebra 1

Write the inequality:  The squared quantity of twice a number is less than negative four. 

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Twice a number:  

The squared quantity of twice a number:  

Is less than negative four:  

Combine the parts to write the inequality.

The answer is:  

Example Question #57 : Linear Inequalities

Write the inequality:  Two more than the square root of twice a number is less than one.

Possible Answers:

Correct answer:

Explanation:

Break up the sentence into parts.

Twice a number: 

The square root of twice a number:  

Two more than the square root of twice a number:  

Is less than one:  

Combine the terms.

The answer is:  

Example Question #58 : Linear Inequalities

Write the inequality:  Four more than a number cubed is less than five.

Possible Answers:

Correct answer:

Explanation:

Split the sentence into parts.

A number cubed:  

Four more than a number cubed:  

Is less than five:  

Combine the terms to form the inequality.

The answer is:  

Example Question #59 : Linear Inequalities

Write the inequality:  Nine less than twice a number must be more than five.

Possible Answers:

Correct answer:

Explanation:

Split the sentence into parts.

Twice a number:  

Nine less than twice a number:  

Must be more than five:  

Combine the parts to write the inequality.

The answer is:   

Example Question #60 : Linear Inequalities

Write the inequality:  Four times the quantity of two less than a number is more than eight.

Possible Answers:

Correct answer:

Explanation:

Two less than a number:  

The quantity of two less than a number:  

Four times the quantity of two less than a number:  

Is more than eight:  

The answer is:  

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