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
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Example Questions
Example Question #1 : Writing Inequalities
Write as an algebraic inequality:
Twenty subtracted from the product of seven and a number exceeds one hundred.
"The product of seven and a number " is 
Example Question #3 : Writing Inequalities
Write as an algebraic inequality:
Twice the sum of a number and sixteen is no less than sixty.
"The sum of a number and sixteen" is translates to 
Example Question #2 : Writing Inequalities
Write as an algebraic inequality:
Twice the sum of a number and sixteen does not exceed eighty.
"The sum of a number and sixteen" translates to 
Example Question #12 : Writing Inequalities
How would you write the equations: "I can spend no more than 
The way the sentence is phrased suggests that the person can spend up to 
So your answer is:
Example Question #11 : Writing Inequalities
Given the following problem, write the inequality.
Seven less than two times a number is greater than fourteen.
Seven less than two times a number is greater than fourteen.
Let's look at the problem step by step.
If we do not know the value of a number, we give it a variable name. Let's say x. So, we see in the problem
Seven less than two times a number is greater than fourteen.
So, we will replace a number with x.
Seven less than two times x is greater than fourteen.
Now, we see that is says "two times" x, so we will write it like
Seven less than 2x is greater than fourteen.
The problem says "seven less" than 2x. This simply means we are taking 2x and subtracting seven. So we get
2x - 7 is greater than fourteen
We know the symbol for "is greater than". We can write
2x - 7 > fourteen
Finally, we write out the number fourteen.
2x - 7 > 14
Example Question #14 : Writing Inequalities
Express the following as an inequality:
Bob's amount of apples (
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, 
Example Question #15 : 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
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 #18 : Writing Inequalities
Write the inequality:
Two less than twice a number is less than two.
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.
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 #20 : Writing Inequalities
Write the inequality: A number less than three is less than three.
Let a number be 
A number less than three:
Is less than three:
Combine all the terms.
The answer is:
All Common Core: 7th Grade Math Resources
