Translating English Phrases into Algebraic Expressions

Express the English phrase below into an algebraic expression.

six times the sum of x and y

• $6x+6y$

• $6\left(x+y\right)$

Express the English phrase below into an algebraic expression.

nine increased by 8 times a number f

• $9+8f$

• $\left(9+8\right)\times f$

Express the English phrase below into an algebraic expression.

the sum of x and y divided by their difference

Express the English phrase below into an algebraic expression.

the square of the difference of m and n

•  $m^2-n^2$ 

•  $\left(m-n\right)^2$ 
  

Express the English phrase below into an algebraic expression.

nine less than a number d

•  $9-d$ 

•  $d-9$ 
  

Express the English phrase below into an algebraic expression.

five increased by seven times a number k

•  $5\ +7k$ 

•  $\left(5+7\right)\times k$ 
  

Express the English phrase below into an algebraic expression.

the product of eight and the sum of a and b

•  $8\times\left(a+b\right)$ 

•  $8a+b$ 
  

Express the English phrase below into an algebraic expression.

twice the product of m and n added to five

•  $2mn+5$ 

•  $2\left(mn+5\right)$ 
  

Express the English phrase below into an algebraic expression.

sixteen subtracted from the product of a number s and eight

•  $8s-16$ 

•  $16-8s$ 
  

Express the English phrase below into an algebraic expression.

four times the difference of a number j and ten

•  $4j-10$ 

•  $4\left(j-10\right)$