Algebra II : Setting Up Equations
Study concepts, example questions & explanations for Algebra II
All Algebra II Resources
Example Questions
Example Question #91 : Setting Up Equations
A textbook says that, on average, a moose that is 
Because this is a question about proportions, we know there's going to be one number divided by another number. First, we're going to group our textbook length and height together:
As you can see, we choose to put the length of the moose in the numerator. It doesn't matter if we put it in the numerator or the denominator yet. When we group the height of the visible moose and it's length, we're going to put the length in the numerator because that's what we did for the textbook length:
Had we put the lengths in the denominators, that would have been fine (we just would have had an extra step when solving the problem). Now we set our proportions equal to each other to get a final equation of:
Example Question #92 : 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 #91 : 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 #94 : 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 #95 : 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 #96 : 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 #97 : 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 #98 : 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 #99 : 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 #100 : 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:
All Algebra II Resources
