Algebra II : Basic Single-Variable Algebra
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #11 : Inequalities
Set up the inequality: Four less than twice a number is less than six times another number.
Let 
Break up the sentence into parts.
Four less than twice a number:
Six times another number:
Less than:
Combine the terms to form the inequality.
The answer is:
Example Question #12 : Inequalities
Set up the following inequality: Four less than twice a number is less than the eighty.
Set up the parts to form the inequality.
Twice a number:
Four less than twice a number:
Is less than eighty:
Combine the parts.
The answer is:
Example Question #13 : Inequalities
Set up the inequality: Six less than twice a number squared must exceed eleven.
Break up the sentence into parts.
Twice a number squared:
Six less than twice a number squared:
Must exceed eleven:
Combine the parts to form the inequality.
The answer is:
Example Question #11 : Setting Up Inequalities
Write the inequality: Nine less than half a number squared is no greater than five.
Identify the parts of the inequality by breaking the sentence in parts.
Half a number squared:
Nine less than half a number squared:
Is no greater than five:
Combine the parts to form the inequality.
The answer is:
Example Question #211 : Basic Single Variable Algebra
Set up the inequality: The value of two less than eight times a number is between one and two.
Separate the parts of the sentence.
Two less than eight times a number:
If a quantity is between one and two, then the quantity cannot be one or two, and we will need to use less than signs.
The answer is:
Example Question #22 : Setting Up Inequalities
Set up the inequality: Seven less than twice a number exceeds eleven.
Break up the statement into parts.
Twice a number:
Seven less than twice a number:
Exceeds eleven cannot be 11:
Combine the parts to form the inequality.
The answer is:
Example Question #23 : Inequalities
Set up the inequality: Four less than three times a number cannot exceed five.
Split the statement into parts.
Three times a number:
Four less than three times a number:
Cannot exceed five:
Cannot exceed five means that it can be five, but no more than five.
Combine the parts to form the inequality.
The answer is:
Example Question #24 : Inequalities
Set up the inequality: Five less than four times a number squared is at most seven.
Break up the sentence into parts.
A number squared:
Four times a number squared:
Five less than four times a number squared:
Is at most seven:
Combine the parts.
The answer is:
Example Question #25 : Inequalities
Write the inequality: The quantity of seven less than twice a number squared is no more than eleven.
Start with the inner quantity first.
Seven less than twice a number:
Square the quantity:
Is no more than eleven:
Combine the parts to form the inequality.
The answer is:
Example Question #217 : Basic Single Variable Algebra
Set up the inequality: Eight less than two-fifths of a number must exceed seven.
Break up the statement into parts.
Two-fifths of a number:
Eight less than two-fifths of a number:
Must exceed seven:
The answer is:
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