Algebra II : Setting Up Equations
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Example Questions
Example Question #51 :Equations
Set up the following equation: The square root of a three times a number cubed is eight.
Split up the sentence into parts.
A number cubed:
Three times a number cubed:
The square root of a three times a number cubed:
Is eight:
Combine the terms to form the equation.
The answer is:
Example Question #181 :Algebraic Functions
Set up the equation:
The difference of six and a number squared is four.
Write the following sentence by parts.
A number squared:
The difference of six and a number squared:
Is four:
Combine the parts to write an equation.
The answer is:
Example Question #401 :Basic Single Variable Algebra
Set up the following equation: Three less than the square of a number is eleven.
Split up the question into parts.
The square of a number:
Three less than the square of a number:
Is eleven:
Combine the terms.
The answer is:
Example Question #51 :Equations
Set up the equation: Four more than seven times a number is fifty.
Break up the sentence into parts.
Seven times a number:
Four more than seven times a number:
Is fifty:
Combine the terms to form the equation.
The answer is:
Example Question #403 :Basic Single Variable Algebra
Set up the equation: Six less than four times a number squared is eight.
Split up the sentence into parts.
Four times a number squared:
Six less than four times a number squared:
Is eight:
Combine the terms to form an equation.
The answer is:
Example Question #404 :Basic Single Variable Algebra
Set up the equation: Four less than a number is at least sixty.
Break up the sentence into parts. Let the number be
Four less than a number:
Is at least sixty:
Combine the parts to form the inequality.
The answer is:
Example Question #405 :Basic Single Variable Algebra
Set up the equation: Sixteen less than eight times a number cubed is nine.
Break up the sentence into parts.
A number cubed:
Eight times a number cubed:
Sixteen less than eight times a number cubed:
Is nine:
Combine the parts to form an equation.
The answer is:
Example Question #406 :Basic Single Variable Algebra
Set up the equation: Eight less than three times a number is negative four.
Break up this sentence into parts:
Three times a number:
Eight less than three times a number:
Is negative four:
Combine the parts to form the equation.
The answer is:
Example Question #407 :Basic Single Variable Algebra
Set up the equation: Sixteen less than twice a number is ninety.
Break up the sentence into parts.
Twice a number:
Sixteen less than twice a number:
Is ninety:
Combine the parts to form the equation.
The answer is:
Example Question #51 :Setting Up Equations
Set up the following equation: Nine less than eight times a number is seventeen.
Break up the sentence into parts.
Eight times a number:
Nine less than eight times a number:
Is seventeen:
Combine the last two parts to set up the equation.
The answer is:
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