Algebra II : Setting Up Equations
Study concepts, example questions & explanations for Algebra II
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Example Questions
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:
Example Question #102 : Setting Up Equations
Set up the equation: Seventeen less than five times a number is twelve.
Break up the sentence into parts.
Five times a number:
Seventeen less than five times a number:
Is twelve:
Combine the parts.
The answer is:
Example Question #103 : Setting Up Equations
Set up the equation: The cube root of three less than five times a number is eight.
Break up the sentence into part.
Five times a number:
Three less than five times a number:
The cube root of three less than five times a number:
Is eight:
Combine the terms to form the equation.
The answer is:
Example Question #104 : Setting Up Equations
Set up the equation: Four less than a third of a number cubed is six.
Break up the statement into parts in order to set up the equation.
A third of a number cubed:
Four less than a third of a number cubed:
Is six:
Combine the terms.
The answer is:
Example Question #105 : Setting Up Equations
Set up the equation: Three less than half a number cubed is eight.
Break up the sentence into parts.
Half a number cubed:
Three less than half a number cubed:
Is eight:
Combine the parts to set up the equation.
The answer is:
Example Question #106 : Setting Up Equations
Set up the equation: Half of the cube root of twice a number is seven.
Break up the sentence into parts.
Twice a number:
Cube root of twice a number:
Half the cube root of twice a number:
Is seven:
Combine the parts to form the equation.
The answer is:
Example Question #107 : Setting Up Equations
Set up the equation: A third of a number less than five halves is eight.
Break up the sentence into parts.
A third of a number:
A third of a number less than five halves:
Is eight:
Combine the parts to create the equation.
The answer is:
Example Question #108 : Setting Up Equations
Set up the equation: Five less than twice the square root of twice a number is four.
Break up the sentence into parts.
Twice a number:
The square root of twice a number:
Five less than twice the square root of twice a number:
Is four:
The answer is:
Example Question #109 : Setting Up Equations
Set up the equation: Four less than five times a number squared is forty.
Break up the sentence into parts.
A number squared:
Five times a number squared:
Four less than five times a number squared:
Is forty:
Combine the parts.
The answer is:
Example Question #110 : Setting Up Equations
Set up the equation: Two times the quantity of two less than thrice a number is twenty.
Start with the inner quantity.
Two less than thrice a number:
Two times the quantity of two less than thrice a number:
Is twenty:
The answer is:
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