Algebra II : Setting Up Equations
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Example Questions
Example Question #71 : Equations
Set up the equation: Ten raised to the power of four less than three times a number is six.
Write the terms of the exponent first.
Four less than three times a number:
Ten raised to the power of four less than three times a number:
Is six:
Combine the terms to form the equation.
The answer is:
Example Question #421 : Basic Single Variable Algebra
Set up the equation: Six less than eight times a number is four.
Solve by breaking the statement into parts.
Eight times a number:
Six less than eight times a number:
Is four:
Combine the terms to form the equation.
The answer is:
Example Question #422 : Basic Single Variable Algebra
Set up the equation: Three less than the quantity of three less than twice a number is four.
Write the equation by first splitting the sentence into parts. Start with the inner quantity.
Twice a number:
Three less than twice a number:
Three less than the quantity of three less than twice a number:
Simplify the expression.
Is four:
The answer is:
Example Question #423 : Basic Single Variable Algebra
Set up the following equation: Sixteen less than eight times a number is nine.
Split the sentence into parts.
Eight times a number:
Sixteen less than eight times a number:
Is nine:
Combine the parts together.
The answer is:
Example Question #424 : Basic Single Variable Algebra
Set up the equation: Four times the quantity of twice a number less than five is six.
Start by solving the quantity of the equation.
Twice a number:
Twice a number less than five:
Four times the quantity of twice a number less than five:
Is six:
Combine the parts.
The answer is:
Example Question #425 : Basic Single Variable Algebra
Set up the equation: The product of five and the quantity of two times a number less than six is ten.
The product of numbers indicate that there will be two quantities involved.
Two times a number less than six:
This is a quantity.
The value of five is also a quantity itself.
The product of five and the quantity:
Is ten:
Combine the parts to form the equation.
The answer is:
Example Question #426 : Basic Single Variable Algebra
Set up the equation: Four times the quantity of eight less than twice a number is nine.
Start by breaking up the sentence into parts.
Eight less than twice a number:
These terms are a part of quantity.
Four times the quantity of eight less than twice a number:
Is nine:
Combine the parts.
The answer is:
Example Question #427 : Basic Single Variable Algebra
Set up the equation: Two less than eight times a number is equal to six.
Split the sentence into parts.
Eight times a number:
Two less than eight times a number:
Is equal to six:
Combine both terms to form an equation.
The answer is:
Example Question #428 : Basic Single Variable Algebra
Set up the equation: Four less than eight times a number is eighty.
Break up the sentence into parts.
Eight times a number:
Four less than eight times a number:
Is eighty:
Combine the terms to form an equation.
The answer is:
Example Question #429 : Basic Single Variable Algebra
Set up the following equation: The product of four times a number and the square of six times the number is twenty four.
Split the sentence into separate parts.
Four times a number:
The square of six times the number:
Is twenty four:
Combine the parts:
The answer is:
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