Algebra II : Basic Single-Variable Algebra
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Example Questions
Example Question #91 : Setting Up Equations
A slice of pizza has 
It would help to first write out all our number with their units attached:
From here, we can use the units to cancel out until we have 
Example Question #92 : Setting Up Equations
Set up the equation: Twice a number more than sixteen is forty.
Split the sentence into parts.
Twice a number:
Twice a number more than sixteen:
Is forty:
Combine the parts to form the equation.
The answer is:
Example Question #93 : Setting Up Equations
Set up the equation: Five less than three times a number is eight.
Break up the sentence into parts.
Three times a number:
Five less than three times a number:
Is eight:
Combine the parts to form the equation.
The answer is:
Example Question #94 : Setting Up Equations
Set up the equation: Six less than three times the square root of a number is four.
Break up the sentence into parts.
The square root of a number:
Three times the square root of a number:
Six less than three times the square root of a number:
Is four:
Combine the parts to form the equation.
The answer is:
Example Question #95 : Setting Up Equations
Set up the equation: Four less than than twice the square root of a number is nine.
The square root of a number:
Twice the square root of a number:
Four less than than twice the square root of a number:
Is nine:
Combine the parts to form the equation.
The answer is:
Example Question #96 : Setting Up Equations
Set up the equation: Four times the fourth root of twice a number is four.
Break up the sentence into parts.
Twice a number:
The fourth root of twice a number:
Four times the fourth root of twice a number:
Is four:
The answer is:
Example Question #91 : Setting Up Equations
Set up the equation: The sum of the square root of a number and the cube root of twice the number is seven.
Break up the sentence into parts.
The square root of a number:
The cube root of twice the number:
The sum of the square root of a number and the cube root of twice the number:
Is seven:
The answer is:
Example Question #97 : Setting Up Equations
Set up the equation: Two less than a fifth of a number squared is eighteen.
Break up the sentence into parts.
A fifth of a number squared:
Two less than a fifth of a number squared:
Is eighteen:
Combine the parts to form the equation.
The answer is:
Example Question #98 : Setting Up Equations
Set up the equation: Seven less than the fourth root of three times a number is nine.
Break up the sentence into parts.
Three times a number:
Fourth root of three times a number:
Seven less than the fourth root of three times a number:
Is nine:
Combine the parts to form the equation.
The answer is:
Example Question #101 : Setting Up Equations
Set up the equation: The square of twice a number squared is equal to eight.
Break up the sentence into parts.
Twice a number squared:
The square of twice a number squared:
Equal to eight:
Combine the parts to form the equation.
The answer is:
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