Algebra II : Basic Single-Variable Algebra
Study concepts, example questions & explanations for Algebra II
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Example Questions
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:
Example Question #86 : Basic Single Variable Algebra
Set up the expression: The sum of twice a number and negative six.
The sum indicates addition.
Twice a number:
Negative six:
Add the two values.
Notice that a positive and a negative value will result in a negative sign.
The answer is:
Example Question #87 : Basic Single Variable Algebra
Set up the expression: Three less than twice a number raised to the tenth power.
Break up the sentence into parts.
Twice a number raised to the tenth power:
Three less than twice a number raised to the tenth power:
The answer is:
Example Question #88 : Basic Single Variable Algebra
Set up the expression: Three eighths less than half a number squared.
Break up the statement into parts.
Half a number squared:
Three eighths less than half a number squared:
The answer is:
Example Question #89 : Basic Single Variable Algebra
Set up the expression: The sum of the cube root of twice a number and the square root of three times the number.
Break up the statement into parts.
Cube root of twice a number:
Square root of three times the number:
The sum of both:
The answer is:
Example Question #90 : Basic Single Variable Algebra
Set up the expression: Five times the square root of eight times a number.
Break up the statement into parts.
Eight times a number:
The square root of eight times a number:
Five times the square root of eight times a number:
The answer is:
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