Algebra II : Setting Up Expressions
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #62 : Basic Single Variable Algebra
Set up the expression: The fourth root of the quantity of ten more than twice a number.
Split the statement into parts.
Twice a number:
Ten more than twice a number:
The quantity of ten more than twice a number:
The fourth root of the quantity of ten more than twice a number:
The answer is:
Example Question #63 : Basic Single Variable Algebra
Set up the following expression: Twice a number subtracted from eight.
Break up the statement into parts in order to solve.
Twice a number:
Twice a number subtracted from eight:
The eight will take precedence since twice a number is subtracted from this number.
There is no need to add parentheses.
The answer is:
Example Question #64 : Basic Single Variable Algebra
Set up the expression: The fourth root of the quantity of twice the square of a number less than three.
Break up the sentence into parts. Start with the quantity first.
The square of a number:
Twice the square of a number:
Twice the square of a number less than three:
The fourth root of the quantity of:
Input the 
The answer is:
Example Question #65 : Basic Single Variable Algebra
Set up the following expression: Three more than the natural log of twice a number.
Natural log is the log that has a base of 
Twice a number:
The natural log of twice a number:
Three more than the natural log of twice a number:
The answer is:
Example Question #66 : Basic Single Variable Algebra
Set up the expression: The fifth root of twice the quantity of three more than six times a number.
Determine the expression of the quantity first.
Six times a number:
Three more than six times a number:
Twice the quantity of three more than six times a number:
Write the fifth root of twice the quantity of three more than six times a number.
The answer is:
Example Question #21 : Expressions
Write the expression: The product of three more than six times a number and two less than the same number.
Let the unknown number be 
Three more than six times a number:
Two less than the same number:
The "and" would separate the quantities and the product would be:
The answer is:
Example Question #22 : Expressions
Set up the expression: The cube root of two times a number squared.
Solve this question by first writing the inner quantity of the cube root.
Two times a number squared:
The cube root of two times a number squared:
The answer is:
Example Question #23 : Expressions
Set up the expression: Five times the fifth root of three times a number.
Split the statement into parts.
Three times a number:
The fifth root of three times a number:
Five times the fifth root of three times a number:
The answer is:
Example Question #24 : Expressions
Set up the expression: Nine times the quantity of five times a number less than five.
An expression cannot contain an equal sign or inequality sign.
Start with the quantity.
Five times a number less than five:
Nine times the quantity of five times a number less than five:
The answer is:
Example Question #21 : Expressions
Set up the following expression: The fifth root of the quantity of six less than twice a number.
Break up the sentence into parts.
The quantity of six less than twice a number:
The fifth root of the quantity of six less than twice a number:
The answer is:
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