Writing, reading, and evaluating algebraic expressions

Translate the verbal expression into an algebraic expression.

The product of 7 and the square of x, increased by the difference of 5 and x².

• $7\left(2x\right)+\left(x^2-5\right)$
  

• $7\left(x^2+5-x^2\right)$
  

• $\left(5+x^2\right)-7x^2$

• $7x^2+\left(5-x^2\right)$

Which expression represents the phrase "five times a number decreased by four" ?

Mathematical Equivalence

ON

to decrease a number means to....

• divide

• multiply

• add

• subtract

Rewrite the following using symbols: 4 is less than 5: 

• 4 < 5 
• 4 > 5 
• 4 = 5 

 $5+\left|x^3-y^5\right|$  

Which of the following is a correct translation of the above expression?

• Five add the absolute value of the difference of y to the fifth power and x cubed.

• Five increased by the aboslute value of the quantity y to the fifth power less than x cubed.

• Five increased by the absolute value of the quantity x cubed and y to the fifth power. 

• The absolute value of the difference of the cube root of x and y to the fifth power more than five.  

Which phrase verbally translates this algebraic expression

• One fourth times the cube root of x less five
• One fourth of the cube root of x less than five
• Five subtract one fourth times the cube root of x
• Five less than one fourth times the cube of x

 $7+\left(13+3\right)=\left(7+13\right)+3$  

• True

• False

• Never

Which verbal expression represents the given expression?

3(4-x)

• four minus the number x divided by 3

• three times the quantity four less than a number x

• three times the quantity x less than four

• four subtracted from x times three

Which of the following expressions would need parentheses?

• 4 times the difference of a number and 8

• Five times a number increased by 7

• 4 times a number

• 15 less than a number multiplied by 12