Question

I need help with 15, the whole thing is one answer and I would like to know the steps in each formula on 15

Answer 1

Answer:

1)A number added to 2 is 64, if n is such a number, then in algebraic notation, this sentence can be written as:

$n+2=64.$

Subtracting 2 from the above equation we get:

$\begin{gathered} n+2-2=64-2, \\ n=62. \end{gathered}$

2) A number doubled is 64, this means that two times n is 64. which in algebraic notation is:

$2n=64.$

Dividing the above equation by 2 we get:

$\begin{gathered} \frac{2n}{2}=\frac{64}{2}, \\ n=32. \end{gathered}$

3) A number squared is 64, this means that n to the power of 2 is 64, which in algebraic notation is:

$n^2=64.$

Notice that:

$64=8^2\text{.}$

Therefore:

$\begin{gathered} n^2=8^2, \\ n=8. \end{gathered}$

4) 2 subtracted from a number is 64, this means that if we subtract 2 from n we obtain 64, which in algebraic notation is:

$n-2=64.$

Adding 2 to the above equation we get:

$\begin{gathered} n-2+2=64+2, \\ n=66. \end{gathered}$

5) 64 subtracted from a number is 0, this means that if we subtract 64 from n we obtain 0, which in algebraic notation is:

$n-64=0.$

Adding 64 to the above equation we get:

$\begin{gathered} n-64+64=0+64, \\ n=64. \end{gathered}$