Common Core: 7th Grade Math : Expressions & Equations

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

Example Question #3 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Express the following as an inequality:

Bob's amount of apples () is more than twice the amount of Adam's bananas ().

Possible Answers:

Correct answer:

Explanation:

To solve, you must convert the statement into an expression. The key work is "is". Whatever is on the left of that in the sentence will be on the left side of the expression. The same goes for the right. Thus,  is on the left and  is on the right.

Example Question #11 : Writing Inequalities

Write the following as a mathematical inequality:

A number is less than or equal to three times the sum of another number and five

Possible Answers:

Correct answer:

Explanation:

Write the following as a mathematical inequality:

A number is less than or equal to three times the sum of another number and five.

Let's begin with

"A number" let's call it x

"...is less than or equal to..."

So far we have:

Now,

"...three times..."

"...the sum of another number and five."

So, all together:

Example Question #1 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b

Write the inequality:  

Two less than twice a number is less than two.

Possible Answers:

Correct answer:

Explanation:

Break up the statement by parts.  Let that number be .

Twice a number:  

Two less than twice a number:  

Less than two:  

Combine the parts.

The answer is:  

Example Question #11 : Writing Inequalities

Write the inequality:  Three less than twice a number is more than three times the number.

Possible Answers:

Correct answer:

Explanation:

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

Twice a number:  

Three less than twice a number:  

Three less than twice a number is more than:  

Three times the number:  

Combine the terms to form the inequality.

The answer is:  

Example Question #1 : 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 #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 #592 : Grade 7

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 #21 : Linear Inequalities

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 #13 : 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 #14 : 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:  

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