Algebra II : Expressions
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Example Questions
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:
Example Question #81 : Basic Single Variable Algebra
Set up the expression: Nine times the fourth root of the quantity of six times the square of a number.
Split the sentence into parts.
The square of a number:
Six times the square of a number:
The fourth root of the quantity of six times the square of a number:
Nine times the fourth root of the quantity of six times the square of a number:
The answer is:
Example Question #82 : Basic Single Variable Algebra
Write the expression: The sum of twice a number and three times another number.
Split the sentence into parts.
Let the first number be 
Let the second number be 
Twice a number:
Three times another number:
The sum of twice a number and three times another number:
The answer is:
Example Question #83 : Basic Single Variable Algebra
Set up the expression: The sum of twice a number and negative eight.
Break up the statement into parts.
Twice a number:
Negative eight:
The sum of both numbers:
Remember that adding a negative value will result in subtracting that value.
The answer is:
Example Question #84 : Basic Single Variable Algebra
Set up the expression: Twice the cube root of five less than twice a number.
Evaluate the inner quantity of the radical first.
Five less than twice a number:
The cube root of five less than twice a number: 
Twice the cube root of five less than twice a number:
The answer is:
Example Question #81 : Basic Single Variable Algebra
Set up the expression: The cube root of six times a number.
An expression cannot contain an equal sign, or it will be an equation.
Six times a number:
The cube root of six times a number:
The answer is:
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