Algebra II : Setting Up Equations
Study concepts, example questions & explanations for Algebra II
All Algebra II Resources
Example Questions
Example Question #81 : Equations
Set up the equation: Two less than twenty times a number is four.
Split up the sentence into parts.
Twenty times a number: 
Two less than twenty times a number:
Is four:
Combine the terms.
The answer is:
Example Question #82 : Equations
Set up the following equation: The sum of a number and twice the square of a number is eleven.
Break up the sentence into parts.
Twice the square of a number:
The sum of a number and twice the square of a number:
Is eleven:
Combine the parts to form the equation.
The answer is:
Example Question #83 : Equations
Set up the following equation: Ten less than three times the square root of a number is five.
Split up the sentence into parts.
The square root of a number:
Three times the square root of a number:
Ten more less than three times the square root of a number:
Is five:
Combine the parts to form an equation.
The answer is:
Example Question #84 : Equations
Set up the equation: Five more than six times a number cubed is eight.
Split up the sentence into parts.
Six times a number cubed:
Five more than six times a number cubed:
Is eight:
The answer is:
Example Question #85 : Equations
Set up the following equation: Eight times a number less than seven is equal to fifty six.
Split up the sentence into parts.
Eight times a number:
Eight times a number less than seven:
Is fifty six:
Combine the parts to form the equation.
The answer is:
Example Question #86 : Equations
Set up the equation: The product of the square of a number and four times another number is six.
Break up the question into parts.
The square of a number:
Four times another number:
Is six:
The product means to multiply the numbers together.
The answer is:
Example Question #87 : Equations
Set up the equation: Eight less than the cube root of a number squared is four.
Break up the sentence into parts.
A number squared:
The cube root of a number squared:
Eight less than the cube root of a number squared:
Is four:
Set the two terms equal to form the equation.
The answer is:
Example Question #88 : Equations
Set up the equation: Eight less than four times a number is twenty.
Split the sentence into parts.
Four times a number:
Eight less than four times a number:
Is twenty:
Set the terms equal.
The answer is:
Example Question #89 : Equations
Set up the equation: Nine more than three times the cube of a number is four.
Split the sentence into parts.
The cube of a number:
Three times the cube of a number:
Nine more than three times the cube of a number:
Is four:
Combine the parts to form the equation.
The answer is:
Example Question #90 : Equations
Set up the equation: Five less than a fifth of a number is three.
Write each part of the sentence in separate terms.
A fifth of a number:
Five less than a fifth of a number:
Is three:
Combine the parts to form an equation.
The answer is:
Certified Tutor
All Algebra II Resources
