Algebra 1 : How to write expressions and equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #131 : How To Write Expressions And Equations

Write the expression:  Sixteen less than a number squared.

Possible Answers:

Correct answer:

Explanation:

Separate the sentence into parts.

A number squared:  

Sixteen less than a number squared:  

Note that the number 16 is subtract from  if 16 is less than the number.

The answer is:  

Example Question #132 : How To Write Expressions And Equations

Write as a variable expression:

Nine multiplied by the sum of a number and two thirds.

Possible Answers:

Correct answer:

Explanation:

"The sum of a number and two thirds" is the result of adding  and :

Nine multiplied by this, remembering to use parentheses to override the precedence of multiplication, is:

 

Example Question #133 : How To Write Expressions And Equations

Write as a variable expression:

Twenty added to the product of seven tenths and a number

Possible Answers:

 

Correct answer:

 

Explanation:

"The product of seven tenths and a number" is the result of multiplying  and :

.

"Twenty added to" this is 

Example Question #134 : How To Write Expressions And Equations

Which of the following English-language expressions can be rewritten as the algebraic expression   ?

Possible Answers:

The product of a number and seven, subtracted from two thirds

Two thirds multiplied by the difference of seven and a number

None of the other responses is correct

Two thirds multiplied by the difference of a number and seven

Two thirds subtracted from the product of a number and seven

Correct answer:

Two thirds multiplied by the difference of a number and seven

Explanation:

 is two thirds multiplied by , which is the difference of a number and seven. Putting this together, this expression is stated as:

"Two thirds multiplied by the difference of a number and seven"

Example Question #135 : How To Write Expressions And Equations

"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.

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

Correct answer:

Explanation:

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

.

 

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