Algebra 1 : Algebra 1
Study concepts, example questions & explanations for Algebra 1
All Algebra 1 Resources
Example Questions
Example Question #1 : Linear 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 #2 : 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 #1 : 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 #1 : Writing Inequalities
A candy company is inspecting its factory. In a standard bag of candy there are a minimum of 14 individual candies, and a maximum of 22. Let 
In terms of inequalities, we know two things. 
So, we have to find the correct statement where we can find the two inequalities. We see we need 
Therefore the only answer that fits our needs is 
Example Question #1 : Writing Inequalities
Write an inequality that represents the following number line.
On the number line, the graph starts at –1 and ends at 3.
The line runs between –1 and 3, so we know our inequality involves only values of x that fall between these two numbers. The open circle at –1 indicates that –1 is not included, while the shaded circle on 3 indicates that 3 is included.
Combining these two inequalities into one give us our answer.
Example Question #1 : Writing Inequalities
Find the solution set of the inequality:
or, in interval notation,
Example Question #3 : Writing Inequalities
Find the solution set of the inequality:
or, in interval notation,
Example Question #4 : Writing Inequalities
Solve for 
The first step is to distribute (multiply) through the parentheses:
Then subtract 
Next, subtract the 12:
Finally, divide by two:
Example Question #1 : Writing Inequalities
Solve the inequality.
To solve 
Subtract 
Divide by nine on both sides.
This answer is also the same as:
Example Question #11 : Writing Inequalities
Choose the correct mathematical expression of the sentence,"A number 
Choose the correct mathematical expression of the sentence,"A number 
This sentence contains the phrase "less than or equal to." This means that we need to write an inequality. When writing inequalities, always remeber that the pointed end points to the smaller of the two values.
So, we have "A number 
"...is less than or equal to..."
See how the inequality sign has the pointy end facing the 
Anyway,"...seventeen"
So we have our inequality. Note the horizontal line in the inequality sign. That is where we get the "...or equal to..." part.
Certified Tutor
Certified Tutor
All Algebra 1 Resources
