Question

How do the expressions 8+k2−6 and 8(k+2)−4k compare when k = 7?

Drag a symbol into the box to correctly complete the statement.

8+k2−6
8(k+2)−4k when k = 7.
Which is greater or are they equal ?

Answer 1

`8(k+2)-4k>8+2k-6`

Explanation:

To figure out how they compare, we can substitute 7 into the equation:

`8+(7)2-6\\8+14-6\\22-6\\16\\`

`8((7)+2)-4(7)\\8(9)-28\\72-28\\44`

As you can see from the answers we got,
`8(k+2)-4k>8+2k-6`, when
`k=7`.