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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 , then "the sum of an unknown number and twelve" is
"seven...multiplied by the sum of an unknown number and twelve" is seven multiplied by ; remembering to override the order of operations with parentheses, the expression is
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 , then "the product of one-tenths and a number" is .
"The product of one-tenths and a number...subtracted from six" is subtracted from six, or
.
This result is equal to seven more than that number, which is , so the equation 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 be the unknown number in question.
is seven subtracted from , which in turn is the product of four and a number. Therefore, the expression can be written as "seven subtracted from the product of a number and four".
can be written as "the quotient of six and the number".
Therefore, can be written as "Seven subtracted from the product of a number and four yields the quotient of the number and six."
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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