Question

1. Complete each equation so that it is true for all values of x2. Complete each equation so that it is true for no values of x4

Answer 1

4.

The expression is 3x + 6.

Simplify the expression.

`\begin{gathered} 3x+6=3\cdot x+3\cdot2 \\ =3(x+2) \end{gathered}`

So missing place is filled by 2.

The expression is x - 2.

Simplify the expression.

`\begin{gathered} x-2=-1\cdot(-x)+(-1)\cdot2 \\ =-1(-x+2) \\ =-(2-x) \end{gathered}`

So missing place is filled by 2

The expression is (15x - 10)/5.

Simplify the expression.

`\begin{gathered} (15x-10)/(5)=(5\cdot3x-5\cdot2)/(5) \\ =(5(3x-2))/(5) \\ =3x-2 \end{gathered}`

So missing place is filled by 3x.