Algebra 1 : Writing inequalities

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #11 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Write the inequality:  A number less than three is less than three.

Possible Answers:

Correct answer:

Explanation:

Let a number be .  Split up the problem into parts.

A number less than three:  

Is less than three:  

Combine all the terms.

The answer is:  

Example Question #12 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Write the inequality:  Two more than three times a number is more than six.

Possible Answers:

Correct answer:

Explanation:

Split up the sentence into parts.  Let the number be .

Two more than three times a number:  

More than six:  

Combine the parts to form an inequality.

The answer is:  

Example Question #13 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Write the inequality:  A number less than three is greater than five.

Possible Answers:

Correct answer:

Explanation:

Break up the terms and rewrite by parts.

A number less than three:  

Greater than five:  

Combine the terms.

The answer is:  

Example Question #14 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

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

Possible Answers:

Correct answer:

Explanation:

Break up the statement into parts.  Let  be the number.

Three times a number:  

Two less than three times a number:  

Less than four:  

Combine the terms.

The answer is:  

Example Question #15 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Write the inequality:  Twice a number less than six is more than four.

Possible Answers:

Correct answer:

Explanation:

Break up the inequality into parts.  Let a variable be the number.

Twice a number:  

Twice a number less than six:  

Is more than four:  

Combine the terms.

The answer is:  

Example Question #16 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Write the inequality:  One less than twice the difference of five and twice a number is less than four.

Possible Answers:

Correct answer:

Explanation:

In order to write this inequality, we need to break up the statement into parts.

Let the number be a random variable.

The difference of five and twice a number:  

Twice the difference of five and twice a number:  

One less than twice the difference of five and twice a number:  

Is less than four:  

Combine the terms.

The answer is:  

Example Question #17 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Write the following inequality:  Five times a number less than five is less than negative five.

Possible Answers:

Correct answer:

Explanation:

Convert each part of the sentence into mathematical expressions.  Let a random variable be the number.

Five times a number:  

Five times a number less than five:  

Is less than negative five:  

Combine the expressions.

The answer is:  

Example Question #18 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Write the inequality:  Two less than eight times a number is at least seven.

Possible Answers:

Correct answer:

Explanation:

Let a number be .  Break up the sentence to parts.

Eight times a number:  

Two less than eight times a number: 

Is at least seven:  

Combine the terms.

The answer is:  

Example Question #19 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Write the inequality:  Eight more than two times a number is more than two.

Possible Answers:

Correct answer:

Explanation:

Split the problem statement into parts.

Two times a number:  

Eight more than two times a number:  

Is more than two:  

Combine the terms to make an equation.

The answer is:  

Example Question #601 : Grade 7

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

Possible Answers:

Correct answer:

Explanation:

Split the statement into parts.

Seven more than a number: 

Is less than five:  

Combine both parts to form an inequality.

The answer is:  

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