Question

Place each algebraic expressions next to its corresponding verbal description

Answer 1

(a)

x cubed is

$=x^3$

5 times the cube of x is

$=5x^3$

4 times x is

$=4x$

the quotient of 4 times x and 3 is

$=\frac{4x}{3}$

so,

the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 is

$=5x^3-\frac{4x}{3}$..........Answer

(b)

5 times cube of x is

$=5x^3$

5 times cube of x divided by 4 times x is

$=\frac{5x^3}{4x}$..........Answer

(c)

difference of 5 times x cube and 4 is

$=5x^3 -4$

so,

the quotient of the difference of 5 times x cube and 4 and x is

$=\frac{5x^3-4}{x}$...........Answer

(d)

difference of 5 times x and 4 is

$=5x-4$

so,

the cube of the difference of 5 times x and 4 is is

$=(5x-4)^3$............Answer

Answer 2

(a) the difference of 5 times the cube of x cubed and the quotient of 4 times  x and 3

5 times the cube of x cubed is  $5x^3$

he quotient of 4 times  x and 3 is $\frac{4x}{3}$

The difference is  $5x^3$- $\frac{4x}{3}$

(b) 5 times the cube of x divided by 4 times x

5 x^3 divide by 4x. So expression is $\frac{5x^3}{4x}$

(c) the quotient of the difference of 5 times x cubed and 4 and x

the difference of 5 times x cubed and 4 is  $5x^3-4$

The quotient of $5x^3-4$ and x  is  $\frac{5x^3-4}{x}$

(d) the cube of the difference 5 times x  and 4

difference 5 times x  and 5 is 5x -4

the cube of (5x-4) is $(5x-4)^3$