Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Match each division expression with the correct quotient.
6x - 8
5x - 8
2x + 6
8r - 2
6x + 5
2x + 5
50 + 6
5.1 – 2
A:(1812 + 150) - 3.1
B:(16x2 + 48x) - 81
C:(56x2 - 14x) = 7x
D:(20x2 – 32x) = 4x

Answer 1

A. 6 x + 5

B. 2 x + 6

C. 8 x - 2

D. 5 x - 8

Explanation:

Given: division expressions

To find: quotient of each of the division expressions

Solution:

Use formula:
`\left ( (x^m)/(x^n) \right )=x^(m-n)`

A.

`(18x^2+15x)/(3x)=(18x^2)/(3x)+(15x)/(3x)=6x^(2-1)+5=6x+5`

B.

`(16x^2+48x)/(8x)=(16x^2)/(8x)+(48x)/(8x)=2x^(2-1)+6=2x+6`

C.

`(56x^2-14x)/(7x)=(56x^2)/(7x)-(14x)/(7x)=8x^(2-1)-2=8x-2`

D.

`(20x^2-32x)/(4x)=(20x^2)/(4x)-(32x)/(4x)=5x^(2-1)-8=5x-8`

Answer 2

A.
`(18x^2+15x)/(3x)=6x+5`

B.
`(16x^2+48x)/(8x)=2x+6`

C.
`(56x^2-14x)/(7x)=8x-2`

D.
`(20x^2-32x)/(4x)=5x-8`

Explanation:

A.
`(18x^2+15x)/(3x)`

`(3x(6x+5))/(3x)`

=
`6x+5`

`(18x^2+15x)/(3x)=6x+5`

B.
`(16x^2+48x)/(8x)`

=
`(16x(x+3))/(8x)`

`=2(x+3)`

`=2x+6`

`(16x^2+48x)/(8x)=2x+6`

C.
`(56x^2-14x)/(7x)`

`=(14x(4x-1))/(7x)=2(4x-1)=8x-2`

`(56x^2-14x)/(7x)=8x-2`

D.
`(20x^2-32x)/(4x)`

=
`(4x(5x-8))/(4x)=5x-8`

`(20x^2-32x)/(4x)=5x-8`