Algebra 1 : Linear Equations
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Example Questions
Example Question #1051 : Algebra 1
"If seven is multiplied by the sum of an unknown number and twelve, the result is four times that unknown number."
Rewrite the above statement as a variable equation.
If we call this unknown number 
"seven...multiplied by the sum of an unknown number and twelve" is seven multiplied by 
The result is four times that unknown number, which is
Putting it together, the equation is
Example Question #136 : How To Write Expressions And Equations
Write the expression: One more than the quantity of twice a number squared.
Split the sentence into parts. Let a variable be the number.
Twice a number:
The quantity of twice a number squared:
One more than the quantity of twice a number squared:
The answer is:
Example Question #137 : How To Write Expressions And Equations
Write the expression: Four less than half a number.
Separate the sentence into parts. Use a variable to denote the number.
Half a number:
Four less than half a number:
The answer is:
Example Question #138 : How To Write Expressions And Equations
Write the following equation: Five more than twice a number is nine.
Separate the sentence into parts.
Twice a number:
Five more than twice a number:
Is nine:
Combine the parts.
The answer is:
Example Question #139 : How To Write Expressions And Equations
Write the expression: Six more than the cube root of twice a number.
Seperate the sentence into parts.
Twice a number:
The cube root of twice a number:
Six more than the cube root of twice a number:
The answer is:
Example Question #140 : How To Write Expressions And Equations
"If the product of one-tenths and a number is subtracted from six, the result is seven more than that number."
Rewrite the above statement as a variable equation.
If we call this unknown number 
"The product of one-tenths and a number...subtracted from six" is 
This result is equal to seven more than that number, which is 
Example Question #141 : How To Write Expressions And Equations
Which of the following English-language sentences can be written as the equation 
Seven subtracted from the product of a number and four yields the quotient of six and the number.
The product of a number and four subtracted from seven yields the quotient of the number and six.
None of the other responses yields a correct answer.
Seven subtracted from the product of a number and four yields the quotient of the number and six.
The product of a number and four subtracted from seven yields the quotient of six and the number.
Seven subtracted from the product of a number and four yields the quotient of the number and six.
Let 
Therefore, 
Example Question #1051 : Algebra 1
Write the expression: Twice a number less than five.
Split the sentence into parts. Let a variable be the unknown number.
Twice a number:
Twice a number less than five means that twice a number will be subtracted from five.
The answer is:
Example Question #141 : How To Write Expressions And Equations
Write the following equation: Five times the cube root of three times a number is six.
Split the sentence into parts:
Three times a number:
The cube root of three times a number:
Five times the cube root of three times a number:
Is six:
Combine the terms.
The correct answer is:
Example Question #142 : How To Write Expressions And Equations
Write the expression: Sixteen less than three times a number.
Break up the sentence into parts.
Three times a number:
Sixteen less than three times a number:
The answer is:
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