Algebra II : Basic Single-Variable Algebra
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #401 : Basic Single Variable Algebra
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 #139 : How To Find F(X)
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 #52 : Equations
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 #51 : Equations
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 #52 : Setting Up Equations
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 #52 : Equations
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 #57 : Equations
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 #52 : 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:
Example Question #61 : Equations
Billy donates two goats for every ten goats he buys from the farm. What is the equation that best represents this scenario? Let 
If Billy buys 10 goats, he will have donated 2 goats.
If Billy buys 20 goats, he will have donated 4 goats.
We can set up the equation by finding the slope of the two points 
Write the slope-intercept equation.
Substitute the known slope and a given point.
Write the equation.
Rewrite the equation in terms of 
The correct answer is:
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