Algebra 1 : How to write expressions and equations

Study concepts, example questions & explanations for Algebra 1

varsity tutors app store varsity tutors android store

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 #1041 : Algebra 1

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 #131 : How To Write Expressions And Equations

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

Possible Answers:

Two thirds multiplied by the difference of seven and a number

Two thirds multiplied by the difference of a number and seven

None of the other responses is correct

Two thirds subtracted from the product of a number and seven

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

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 #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.

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

.

 

Learning Tools by Varsity Tutors