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

Answer:

A. 6 x + 5

B. 2 x + 6

C. 8 x - 2

D. 5 x - 8

Step-by-step explanation:

Given: division expressions

To find: quotient of each of the division expressions

Solution:

Use formula: $\left ( \frac{x^m}{x^n} \right )=x^{m-n}$

A.

$\frac{18x^2+15x}{3x}=\frac{18x^2}{3x}+\frac{15x}{3x}=6x^{2-1}+5=6x+5$

B.

$\frac{16x^2+48x}{8x}=\frac{16x^2}{8x}+\frac{48x}{8x}=2x^{2-1}+6=2x+6$

C.

$\frac{56x^2-14x}{7x}=\frac{56x^2}{7x}-\frac{14x}{7x}=8x^{2-1}-2=8x-2$

D.

$\frac{20x^2-32x}{4x}=\frac{20x^2}{4x}-\frac{32x}{4x}=5x^{2-1}-8=5x-8$

Answer 2

Answer:

A.$\frac{18x^2+15x}{3x}=6x+5$

B.$\frac{16x^2+48x}{8x}=2x+6$

C.$\frac{56x^2-14x}{7x}=8x-2$

D.$\frac{20x^2-32x}{4x}=5x-8$

Step-by-step explanation:

A.$\frac{18x^2+15x}{3x}$

$\frac{3x(6x+5)}{3x}$

=$6x+5$

$\frac{18x^2+15x}{3x}=6x+5$

B.$\frac{16x^2+48x}{8x}$

=$\frac{16x(x+3)}{8x}$

$=2(x+3)$

$=2x+6$

$\frac{16x^2+48x}{8x}=2x+6$

C.$\frac{56x^2-14x}{7x}$

$=\frac{14x(4x-1)}{7x}=2(4x-1)=8x-2$

$\frac{56x^2-14x}{7x}=8x-2$

D.$\frac{20x^2-32x}{4x}$

=$\frac{4x(5x-8)}{4x}=5x-8$

$\frac{20x^2-32x}{4x}=5x-8$