Algebra II : Basic Single-Variable Algebra
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #26 : 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 #27 : 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 #28 : 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 #29 : 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 #30 : 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:
Example Question #71 : Basic Single Variable Algebra
Set up the expression: The square of the difference of twice a number and six.
Start by taking the difference of the two numbers.
The difference of twice a number and six:
The square of the difference of twice a number and six:
Be careful not to mix the terms of square and square root.
The answer is:
Example Question #72 : Basic Single Variable Algebra
Set up the expression: The fourth root of the quantity of three less than five times a number.
Start with the quantity.
Three less than five times a number:
This term is a quantity.
The fourth root of the quantity:
The answer is:
Example Question #73 : Basic Single Variable Algebra
Set up the expression: The sum of twice a number and three times another number cubed is eight.
Break up the terms and write each part.
Twice a number:
Three times another number cubed:
Is eight:
Sum the two different numbers that is equal to eight.
The answer is:
Example Question #74 : Basic Single Variable Algebra
Set up the expression: The fourth root of twice a number squared.
Break up the sentence into parts.
Twice a number squared:
The fourth root of twice a number squared:
Do not mix split this radical and pull out the coefficient!
The answer is:
Example Question #75 : Basic Single Variable Algebra
Set up the following expression: Five less than eight times the cube of a number is negative eleven.
Split the sentence into parts.
The cube of a number:
Eight times the cube of a number:
Five less than eight times the cube of a number:
Is negative eleven:
The answer is:
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