All Algebra 1 Resources
Example Questions
Example Question #52 : Writing Inequalities
Write the inequality: The square of the quantity of twice a number less than four must be at least six.
Break up the sentence into parts.
Twice a number:
Twice a number less than four:
The quantity of twice a number less than four:
The square of the quantity of twice a number less than four:
Must be at least six:
Combine the terms.
The answer is:
Example Question #53 : Writing Inequalities
Write the inequality: Two less than three times a number is less than five.
Split the sentence into parts to write the expressions for each part.
Three times a number:
Two less than three times a number:
Is less than five:
Combine the parts to form the inequality.
The answer is:
Example Question #52 : Linear Inequalities
Write the inequality: Twice a number less than five is at least negative two.
Break up the sentence into parts.
Twice a number:
Twice a number less than five:
Is at least negative two:
Combine the parts to form an inequality.
The answer is:
Example Question #53 : Linear Inequalities
Write the inequality: Two less than four times a number is at most six.
Break up the sentence into parts.
Four times a number:
Two less than four times a number:
Is at most six:
Combine the parts to form the inequality.
The answer is:
Example Question #51 : Linear Inequalities
Write the inequality: The squared quantity of twice a number is less than negative four.
Break up the sentence into parts.
Twice a number:
The squared quantity of twice a number:
Is less than negative four:
Combine the parts to write the inequality.
The answer is:
Example Question #55 : Linear Inequalities
Write the inequality: Two more than the square root of twice a number is less than one.
Break up the sentence into parts.
Twice a number:
The square root of twice a number:
Two more than the square root of twice a number:
Is less than one:
Combine the terms.
The answer is:
Example Question #56 : Linear Inequalities
Write the inequality: Four more than a number cubed is less than five.
Split the sentence into parts.
A number cubed:
Four more than a number cubed:
Is less than five:
Combine the terms to form the inequality.
The answer is:
Example Question #57 : Linear Inequalities
Write the inequality: Nine less than twice a number must be more than five.
Split the sentence into parts.
Twice a number:
Nine less than twice a number:
Must be more than five:
Combine the parts to write the inequality.
The answer is:
Example Question #58 : Linear Inequalities
Write the inequality: Four times the quantity of two less than a number is more than eight.
Two less than a number:
The quantity of two less than a number:
Four times the quantity of two less than a number:
Is more than eight:
The answer is:
Example Question #61 : Linear Inequalities
We begin by using inverse operations, exactly as if we were solving an equation. In this case, we must isolate the variable by subtracting from both sides. This leaves us with . Finally, we again use inverse operations--in this case dividing by --to end up with a final inequality of . Note that we do not flip the inequality because we are not dividing by a negative number.
Certified Tutor